diff --git "a/data/dm_maths/full_data_1/10496_11255.jsonl" "b/data/dm_maths/full_data_1/10496_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10496_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is -105 less than or equal to -17350\/167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**5 + 3*m**5 + 5*m**5 + (-2*m + 2*m - 2*m)*(3*m**4 - m**4 - 4*m**4).\nAnswer: 9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116 + -115.9312. What is i rounded to 3 decimal places?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2150559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - m = 1, 7183*k - 3 = 7184*k - 5*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6283 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 12*j**2 + 19*j - 330. Let t be x(11). Let c(f) = -41*f + 2. Give c(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(423*m + 88*m - 292*m) + 2*m + m + 2*m to d*m + p and give d.\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-20)\/(-32)) - 6. Let n(s) = -7*s**2 + 2. Let f(q) = -14*q**2 + q + 5. Give x*f(c) - 5*n(c).\nAnswer: 7*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 8) to base 4.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) -2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51819 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/21280 and 109\/1044050.\nAnswer: 16704800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9\/40676 - 22382167\/894872. Let d = -216\/11 - m. Find the common denominator of -133\/54 and d.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2258?\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 58, 2311, 1.\nAnswer: 1, 2, 58, 2311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, 1\/4, 10, 1\/3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 14) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 2*d**3 + 7 - 2 - 21 + 5.\nAnswer: 2*d**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156 - -155.5. Let r = 2.9 - 6.9. What is the third smallest value in r, 3.6, x?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, a: 3, p: 1, r: 1, y: 3}. What is prob of picking 2 y and 1 u?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70 + 97. Let g = -25 + p. Suppose -6 = -4*w + q - g*q, -3*w + 12 = -3*q. Solve s + 12 = -w*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 7, j: 6}. What is prob of picking 1 i and 1 j?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 4. Suppose 3*n = 5*x - 14 - 21, 3*x - 37 = 5*n. Let g(u) = 5*u - 7. Give x*g(b) - 9*d(b).\nAnswer: 2*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3546 + -1087. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k = 182 + 182 - 400 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 46.607 and 460.\nAnswer: 21439.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y + 13. Let s be w(11). Let b = -27 + s. What is the remainder when b is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1769 divide 97539576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32263.\nAnswer: 7, 11, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.1 * 15.\nAnswer: 151.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 204426839993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 14709231 and 14709232 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 16860 to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64904, -64902, -64900, -64898?\nAnswer: -64896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 174, 335, 484, 615, 722, 799, 840, 839?\n\"Answer: -a**3 + 168*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6426 = -175*n - 1351 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 174 = -6*l. Let m = l - 22. What is the highest common factor of m and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -0.2, 2, 4\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 43.\nAnswer: -9\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 520\/(-60)*21\/14\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 4*r + 8. Let h be u(5). Suppose 0 = g + h*g - 4*f + 228, 0 = 3*g - 4*f + 168. Is 13 a factor of (-2556)\/g - (-4)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 5 = 5*x. Suppose 3 = 2*y - x. Suppose 36 = -y*n + 6*n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*u = -0*x - 681, -2*u = -3*x + 409. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2228043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 i when three letters picked without replacement from iieiisseesiis.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + (20 - 51) + 14 + -42?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208 by -297.\nAnswer: -208\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15940368 a multiple of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*m - 34*m + 1167770. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 2*n**2 + 4*n + 0*n**2 + (-4*n + 0*n + 2*n)*(-3*n + 6*n - n))*(n - 2*n**3 - n).\nAnswer: 10*n**5 - 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**4\/5 + 164*m**3\/5 + 1786*m**2\/5 - 12832*m + 306816\/5 = 0.\nAnswer: -51, -47, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-150)*1065\/2 + (-12)\/10. What is the greatest common divisor of 1582 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**4)\/x)*(x\/x**(2\/7))\/x)**0*(x\/(x*x**(-1\/2)\/x)*x)**15\/(x\/x**(2\/11)*x**7) assuming x is positive.\nAnswer: x**(653\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*7\/(-63)*18\/(-8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 5. Let c be v(3). Suppose 0 = -5*r + 25, -r - 17 = -p - c*r. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-52)*2)\/(275\/(-88)*4)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2193031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 745389271?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 + 9*v**2 - 30*v**3 + 31 - 11*v**2 as m*v + g*v**3 + o*v**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y - t - 9, -y + 3*t - 1 = 0. Suppose y = -s + 1. Let v = -0.1 + 2.1. Which is greater: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 199*r + 28*r + 100*r - 96*r + 116*r - 16 in the form i*r + t and give i.\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1745 (b) -4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -14*v**2 + 15*v - 4. Let x(r) = -28*r**2 + 29*r - 9. Determine -9*b(j) + 4*x(j).\nAnswer: 14*j**2 - 19*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369839971?\nAnswer: 599, 617429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -33. Let j(c) be the first derivative of -c**5\/20 - 5*c**4\/12 - c**3 - c**2 + 19*c + 5. Let n(i) be the first derivative of j(i). Give n(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.64 - -0.34. Sort -0.4, -1\/4, -62, m in decreasing order.\nAnswer: -1\/4, m, -0.4, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t - 2*t**2 + 10*t - 11 + 33*t. Let z be o(18). Solve -z*u = -8*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 40 = -4*l, -l + 5*q - 9*q = -11. Sort -2, l, 3, 1 in descending order.\nAnswer: 3, 1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.2 - -23.2. Which is the closest to -1? (a) o (b) 7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -155*u - 244. Calculate the lowest common multiple of i(-6) and 8.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:34 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3865 and -61067029?\nAnswer: 61070894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1, -227?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 2*z - 5 - 11, -469 = 2*o - 6*z - 477 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 868 = -132. Suppose -8*b = 2*b - o. Calculate the remainder when 345 is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 136 + -133. Let f(j) = j. Let x be f(0). Suppose x*z + 4*z = -n + 45, z = -h*n + 80. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 3)*(24*j + 0*j + 5*j).\nAnswer: 58*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6*p**2 + p. Let z be c(1). Let d(x) = 11 + 2*x + z - 2. Let j be d(-7). Solve -7*s = -j*s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 5, 200, -4.\nAnswer: -4, -1\/3, 5, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -35*r**2 - 116*r + 57. Let i = -375 + 379. Let y(f) = -35*f**2 - 113*f + 56. Let u(d) = i*q(d) - 3*y(d). Factor u(n).\nAnswer: -5*(n + 4)*(7*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from rfffr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 112 + 84 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from {p: 1, r: 1, l: 1, v: 1, g: 1, s: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*q**4 + 2850.\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 7 - 38*q + 0*q**2 + 7\/4*q**4 + 0*q**3. Differentiate g(l) wrt l.\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p - 2*p - p - 6*p. Let j(u) = 2*u**2 - 11*u + 11. Let s(m) = 2*m - 2. Let r(v) = -2*j(v) - 11*s(v). Determine r(o(y)).\nAnswer: -100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 6*a - 2538 + 2634, -8*a - 148 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 16) + 74\/(-11).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1396210 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/8)*p)\/(p\/(p*p\/(p\/p**2))*p*p)*(p*p**(-20)*p*p*p*p)\/(p*p\/(p*p\/p**(-3\/5))) assuming p is positive.\nAnswer: p**(-511\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/70 + (-180)\/(-72)*2\/35?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6280 - -6336. What is the highest common divisor of p and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 104885.27 and 253393.\nAnswer: 358278.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*t, 2*t - 23 = -4*r - 33 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 120443712?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g**2 + 7. Let f(o) = 10*o**2 + 10. Let a(r) = 5*f(r) - 7*u(r). Let t(k) = k**2 + k + 2. Determine 3*a(s) - 2*t(s).\nAnswer: s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786760 to the power of 1\/2, to the nearest integer?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(560\/21)*15\/27\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -5. Let h be p\/(-1 - 1) - 6. Find the common denominator of -74\/9 and 5*1\/h*1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 42, -126 in descending order.\nAnswer: 42, -2, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 3 - 3 + (-1 + 1 - 1)*(-4 + 4 + 3*m))*(-17 - 1 + 4).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 238 + -139. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(63)\/(sqrt(9) + sqrt(36))))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -216.318 take away -0.02?\nAnswer: -216.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1774932 divided by 2\nAnswer: 887466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*z - f + 0*f = -5*f - 140, 16 = 3*z - 4*f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/70*(78\/(-18) + 2)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -g - 3*f + 5*f, -4*g - 3*f = -23. Let q be g\/(-6) + (-1)\/(-3). Factor h**2 + 0*h**2 - 2*h**2 + q*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119255 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/(-15)*-5 - 8 - -31. Which is bigger: z or 199\/6?\nAnswer: 199\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/24 and -23\/954504.\nAnswer: 954504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/14 - -73\/630. Let x = 13\/45 + j. Let f = 7.2 - 1.2. Is f smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1524384 and 4824?\nAnswer: 1524384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/368 and -63\/8?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*u = 5846 + 14119. Sort 1, u, -2, 2.\nAnswer: u, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 8*v**2 + v - 6. Let i = 9 - 1. Calculate b(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 119*u + 3505. What is i(-53)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g - 13*g + 8 = 2*a, 3*a = -3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101100010100111 + 11?\nAnswer: 1101100010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3118, -7149, -11180?\nAnswer: -15211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + cafebb?\nAnswer: cafeb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*((-81)\/18)\/9)\/((-2)\/20*-1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + -1be8ff?\nAnswer: -1be908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-15)*3*5. Let z be (5 - 3) + (-7)\/(-10)*h. Which is the closest to 0? (a) 2\/7 (b) 0.06 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -5. Let l be 15 + (4 - 1) + -3. Solve -k*c + 3*v + 0*v = -l, -4*c + 3*v + 20 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**5\/200 + q**4\/24 - 13*q**3\/60 + 7*q**2\/20 - 4*q. Factor m(o).\nAnswer: (o - 1)**2*(o + 7)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10*r**3 - 17*r**2 + 9*r + 8. Let l be a(-2). Solve -f - 4 = w + 4*f, 5*w + 3*f = l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 628 = 2*l, -11*d - 3*l + 5067 = -1860. Calculate the highest common factor of 1008 and d.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/13 (b) -0.27 (c) 11\/4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86992211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(1584) - sqrt(1584))*-3)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*l - 15 = -4*k + 78*l, 0 = -5*k + 4*l + 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 4*r**2 + 4*r + 2. Let z be d(4). Let i = -65 - z. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.014 - -2.714. Let h = c - 3. Which is smaller: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1324 divide 2286279594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**3\/3 + 591*t**2 - 262845*t + 783225 = 0.\nAnswer: 3, 885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 272\/3*j - 48 - 76\/3*j**2 - 28*j**3 + 28\/3*j**4 + 4\/3*j**5 = 0.\nAnswer: -9, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 16 = -3*v - 0, 0 = 4*v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.54075635.\nAnswer: 0.054075635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201357 divided by 15489.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - (8 + -36 + -71)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 88, 5, -6, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**2 - 3*j + 3. Let l(w) = -1. Let r(u) = k(u) + 6*l(u). Let p be 1927\/(-235) - 182\/65. Let q(o) = 14*o**2 - 8*o - 8. What is p*r(d) + 4*q(d)?\nAnswer: d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*n + 80, -4*x + 3*n - 2*n + 64 = 0. Let p be ((-36)\/x)\/(6\/(-15)). Suppose -6*t + 0*t = -p. What is the least common multiple of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.214 + -2.034. Round x to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 81*r**2 - 42*r + 19. Is m(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p - 2. What is the remainder when w(4) is divided by 40\/(-30)*(-15)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5633665t in kilograms?\nAnswer: 563.3665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -306294 divided by 102098?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by ((-1469)\/(-3) - 0) + 300\/36 + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 6:14 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppfpnpuuf. Give prob of sequence pnp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*u + 42118 - 130791 = 0, -u - 5 = 0. Suppose -n = -3*v + 5441. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -576432542*q + 218101864 wrt q.\nAnswer: -576432542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 16 = -t, 2*w - 4 = -5*t + 4*t. Let h be 0\/((-2)\/(-2) + -3). Suppose 0*a - a = h. Sort t, 5, a in descending order.\nAnswer: 5, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*k**2 - 13*k**3 - 2*k**4 - 14*k + 3*k**2 + 12*k**3 - 8*k**3 to the form j*k**2 + i*k + l*k**4 + h + r*k**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = -5*g - 19, 3*q - 449 + 444 = -g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5*-1*sqrt(136) - sqrt(136))\/(-2*sqrt(648)))*4.\nAnswer: -16 - 8*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (6 + 4) - -4) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14642 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 760556 minus -1.05?\nAnswer: 760557.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -103640 rounded to the nearest 1000?\nAnswer: -104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -134?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 16 = -2*a, a - 4*l = 8 - 26. Suppose 4*r = a*j, r + j = -3*r. Suppose -3*s + 8*s - 35 = r. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f = -43*f - 54 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, 2\/3, 0, -1.\nAnswer: -1, 0, 2\/3, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - -3 - (-58 + 5)) + (-1 - 4).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002313212 (base 4) to base 6.\nAnswer: 5512010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.44 - 0.56. Put -1, -2, k in ascending order.\nAnswer: k, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 912 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*m - 4*m - 22 = 0, x - 24 = 3*m. Calculate the remainder when 61 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1.8 (b) 0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -8. Suppose 8 = 5*u - 4*h, -h + 0 = -u + 2. Suppose u = -3*y + 3*r + 51, -1 = -y - 2*r + 1. Solve -f*a - y = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 4*q**2 + 3*q - 7. Let y be p(4). Suppose -5*d + 1245 = 5*s, -d + 8 = -y*s - 229. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 140069 - 91870. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-1) + 0 + -45. Let i = -1490 + 1536. Let k = w + i. Solve 1 = -j - k*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 10\/4 - 7\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/3 - 2804*x**2\/3 - 11252*x - 33792 = 0. What is x?\nAnswer: -6, 2816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9840431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 35 (b) 0.12 (c) -7 (d) 3\/2 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 - v**2 - v - 1. Let d be 3\/(-3)*(1 + 1). List the prime factors of k(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14912520 to the nearest ten thousand.\nAnswer: -14910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 9. Let f = -29 - -35. Let d = f + b. Solve 5*c + 24 = -o, d*o - 3*c = 2*c + 30 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 - -4)\/(-1 + 2). Does 26 divide (342\/(-4))\/((-7)\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 8*a**2 + 9*a - 5. Give t(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p + 27. Let s be y(-11). Let t = s - -54. Factor 5*b**t - 8*b**3 + 3*b**3 - 5*b**2 + 0*b**3 + 5*b.\nAnswer: 5*b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*f - f + 24, 4*f = 2*d - 34. What is the third derivative of -48*a**3 + a + 44*a**3 - a + d*a**2 wrt a?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131044369*a**5*b - 42*a**2*b - 4*a**2 - 53*a*b + 2*b + 561 wrt a.\nAnswer: 7862662140*a**2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3210123 (base 5) to base 9.\nAnswer: 81704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u - 96 = -41*u. Calculate the remainder when (822\/u + 2)*2 is divided by ((-9)\/12)\/((-1)\/24).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**5\/20 + u**3\/6 + 5*u**2\/2 - 7*u. Calculate m(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 7533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-5) + (-37)\/(-5). Let h = -66 + 73. Find s, given that l - 27*s + 16*s**2 + 3*s**3 - 7*s**3 + h*s = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 smaller than 1530572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + 3 + sqrt(567) + 1 + sqrt(567).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -895 divided by -895?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w. Let q(y) be the second derivative of -y**4\/12 + 154*y + 6. Calculate -n(x) - 4*q(x).\nAnswer: 4*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/3 - 7\/(-21). Suppose -b*q + 6 = -2*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2820244.31 - 2820242.81000031. Let a = h - 1.5. Round a to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -x + 21. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -v - 25, 5*v + 1564 = -2*m + 1478 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7 - 2*w - 5.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 4:57 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 20 = a, -20 = -3*y + 5*a - 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 57, 4, -6 in increasing order.\nAnswer: -6, 4, 20, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10226*j - 22978*j - 15822*j - 8091*j.\nAnswer: -36665*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 40?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32355 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 63 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 92\/6 + (-29)\/87. Let h(i) = -i**3 + 16*i**2 - 15*i + 1. Determine h(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*m - 4*y - 4, -4*m - y - 7 = 0. Let b be (-7)\/2*(m + 186\/(-14)). Suppose -36 = 2*c - b. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 50\/111279?\nAnswer: 50\/111279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(17) - (-4*sqrt(17) + sqrt(17) + 0) - (((sqrt(170) - (sqrt(170) + 2*sqrt(170) - sqrt(170))) + sqrt(170))\/sqrt(10))**2).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.915126 hours?\nAnswer: 0.03813025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 490939 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62803 = 23*j + 22645. What are the prime factors of j?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200487657?\nAnswer: 3, 66829219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 38 = -13*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) 18594 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 610 and 1891.\nAnswer: 18910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5717275.\nAnswer: 5, 71, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -9*o + 5. Let z(w) = w - 4. Let h(a) = -m(a) - 2*z(a). Let p(b) = -7*b - 4. What is 4*h(j) + 3*p(j)?\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**5\/15 + z**4\/6 - 4*z**3\/3 + 2*z**2 + 9. Let j(f) be the second derivative of c(f). Suppose j(p) = 0. Calculate p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2274818 and 442.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-158)\/8 + 10 + 10. Solve y*h**3 + 3\/2*h**2 + 3*h + 2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 70080.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*b = 8. Let d be -2 + (-10)\/b + 1. Let z be (20\/14)\/((-2)\/(-7)). Sort d, z, -4 in descending order.\nAnswer: z, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19159 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 282\/8 + (-6)\/24. Find the first derivative of -4*i - i + 8*i - 2*i + g wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 0 + 0)*(-11*i**3 + 500*i**2 - 1001*i**2 + 499*i**2) to z*i + t*i**2 + w*i**4 + b + p*i**3 and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w + 14. Let g be c(-12). Which is smaller: g or -51\/5?\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of ((-7)\/((-21)\/(-12)))\/((-4)\/110)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289, -483, -797, -1231?\nAnswer: -1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7751468.\nAnswer: 2, 19, 29, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 14) in base 4?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 52*c**4 - 12*c**3 + 20*c - 12. Let j(p) = -21*p**4 + 5*p**3 - 8*p + 5. Let u(a) = -5*i(a) - 12*j(a). Find the second derivative of u(h) wrt h.\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.47 and -0.2.\nAnswer: 0.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 151831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 15, n: 3}. What is prob of picking 1 n and 3 c?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -111100101011111100 (base 2) to base 16\nAnswer: -3cafc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -292, 503 in ascending order.\nAnswer: -292, 0, 503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -19*l**6\/5 - 2*l**4\/3 - 787*l**2\/2 + 84*l. Find the first derivative of f(c) wrt c.\nAnswer: -456*c**3 - 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -881, -2017, -3607?\nAnswer: -5651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 60*k**2. Let i(r) be the first derivative of -50 + 0*r + 1\/3*r**3 + 0*r**2. Determine q(i(l)).\nAnswer: 60*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/616 + 135\/616. Calculate the common denominator of y and -24\/77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 70*t + 7. Let v(u) = -1. Let k(r) = g(r) + 3*v(r). Let j be k(2). Let a = j + -53. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 u, and 1 x when four letters picked without replacement from {o: 2, g: 2, u: 2, f: 1, m: 1, x: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 21. Let r(c) = -c + 22. Determine -7*p(t) + 6*r(t).\nAnswer: t - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m - 77. Let h be r(-21). Let d be 3\/(-15) - h\/35. Which is the closest to 1\/4? (a) 7 (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -21.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21461 - (3920\/(-665) + (-2)\/19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.4 (b) -0.35 (c) 16 (d) 3 (e) 2\/73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**4\/6 - x**3\/2 - 111*x**2. Let l = -3 + 6. Suppose -l*v - 3*r = 2*v, 0 = -3*r - 15. Determine p(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -92, -187, -320, -491, -700, -947?\nAnswer: -1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18787.7cm?\nAnswer: 187.877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -608 (b) 27 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, r: 11}. What is prob of picking 1 e and 3 r?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 1. Let l = 37 - 35. Suppose -2*p = -3*q - 0*p - 94, -l*q - 31 = 5*p. Let i = -26 - q. Determine u(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.021, -17\/41, 0.1, 1\/4, -4, 15\/2, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 42. Let r = -15.0086 - m. What is r rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-366)\/189*-3 - 1554\/(-2331)*(-10 + 1).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 975 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6074 * 1.01\nAnswer: 6134.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, 4, 1\/3, -25\/8, -0.5, -2\/7 in descending order.\nAnswer: 98, 4, 1\/3, -2\/7, -0.5, -25\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -432\/695 + 3\/139. Let f = -0.3 - 1.7. Which is the smallest value? (a) -0.4 (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/5 (b) 2.9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27189 - -27189.0000056699. What is n rounded to 7 decimal places?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -5 (b) 0.02 (c) -0.052 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 8*u + 20. Calculate r(-12).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*g - 18, q - 5*g = -2*q + 28. List the prime factors of (0 - 4) + (1359\/3 - q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1025 - 619. Let f = m - 355. List the prime factors of f.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -1 - (145 - (219 + -251)).\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 504 - 504.2. Let h be (-1 - -3) + (-12)\/2. Which is the closest to -2? (a) v (b) 0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/((-15)\/(-9)) + 25?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in 3\/5, -1, -20, 81?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 493\/9 + (240 - 295)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4058*d + 14902*d + 15735*d.\nAnswer: 34695*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**22*l**25)\/(l**23\/(l**(-9)\/l)) assuming l is positive.\nAnswer: l**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/151 (b) -5 (c) -929 (d) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 10 = -2. Let u be -26*p*(-2)\/(-12). Suppose 0 = -22*k + u*k + 1035. What are the prime factors of k?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*((-154)\/21 - -7) + 13. Solve 29*f = 25*f - p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126847.\nAnswer: 1126847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 >= 3512\/1229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 5*i - 28. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 4*p + 45 = -10*o, o - 10 = -p. Let d(a) = a**2 + 3*a - 6. Give d(o).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 75, -0.4, -3, 1, -2, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 28*s - 49.\nAnswer: -(2*s + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -341332 - -3104011?\nAnswer: 2212124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04542 - 0.01.\nAnswer: 0.03542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6867829*j**4 + 50986*j**2 - 49 wrt j?\nAnswer: -164827896*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 545720 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 8*p**2 - 6*p - 6. Let k be w(7). Is k\/2*(-31)\/((-186)\/27684) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**5 - 8*f**4 - 19*f**3 - 6*f**2 = 0. What is f?\nAnswer: -1, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 41872, -4, 4 in increasing order.\nAnswer: -4, 2, 4, 6, 41872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10614 divided by 3?\nAnswer: 3538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 45. Let c be (3\/(9\/(-12)))\/2. Let z = q + c. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**3 - 6*h**2 + h - 10. Let z(f) = -6*f**3 + 14*f**2 - 2*f + 19. Give 5*c(u) + 2*z(u).\nAnswer: 3*u**3 - 2*u**2 + u - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 100214958*x. Let h(j) = j. Calculate q(h(r)).\nAnswer: 100214958*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q - 2*q + 3*q + (2*q + q - 5*q)*(0 - 3 + 4) + 0 + 0 - 2*q + 3 - 3 + 3*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 3*v - 5*v - 10, 5*b + 18 = -4*v. Let i be b*(3 - 40\/14). What is the nearest to 2\/5 in -5, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7372, 14814, 22346, 29968, 37680?\nAnswer: 45482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2154795120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -485?\nAnswer: -9\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15800499?\nAnswer: 3, 11, 13, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 6*c**2 + 2. Suppose -4*h = -9*h - 15. Let p = h - 3. Give o(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.1358?\nAnswer: 0.04074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38\/(-9) + 6 + -2. Let k = -25.07224 + 0.07224. Which is the smallest value? (a) 2\/5 (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3663.937 - -3664. Which is the closest to 1\/2? (a) 0.5 (b) -1\/5 (c) n (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/268 and 11\/99164.\nAnswer: 6643988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 355949230.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 18 = 13*a + 25, -5*w - 22 = -0*a - 2*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*h**3*l + 9859052*h**3 - 8*h**2*l + 46246*h**2 - h*l - 4*l - 3 wrt h.\nAnswer: -24*l + 59154312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 11*c**2 - 6*c - 6. Let o be w(11). Let m = -23 - o. What is the remainder when m is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12387 - -811422394?\nAnswer: 811434781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(12\/4))\/((-18)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 11 = 7*f. Let a be (-3)\/(-6)*f*-2. Let n(j) = -26*j + 7. Is n(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102621 + 67379 = -10*q. What is q rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155 + 110. Let l be (-30)\/(-4)*132\/15. Let x = l + v. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8*k. Let f(z) = 19*z**2. Calculate y(f(s)).\nAnswer: 152*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 8:27 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -128*t**3 - 66*t**2 + 15*t - 4. Let m(a) = 129*a**3 + 55*a**2 - 12*a + 4. Let g(c) = 6*m(c) + 5*o(c). What is g(-1)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 28, -105, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 31*o**2 - 30*o - 2. Give l(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1441624 is divided by 1401.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190576?\nAnswer: 2, 43, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111736 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -0.12524606\nAnswer: 0.0037573818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9297*r - 27 = -9299*r - 3*c, 9*c = 45 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 - 48*l**3 + 180*l**2 - 216*l.\nAnswer: 4*l*(l - 6)*(l - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g + 5. What is the remainder when 78 is divided by a(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466005 (base 10) in base 7?\nAnswer: 26650343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61674873*z**2 + z + 213472001?\nAnswer: -123349746*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q - 37*q = -10. Solve 3*u - m - 14 = 6*u, -u = q*m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -25, -6, 17, 44, 75, 110?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqtqqtttttt. Give prob of sequence qq.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -13, -11, -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-20))\/((-2)\/12). Suppose 5*b - i*b + 52 = 2*w, 28 = w - 2*b. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/561, -2.7, 1.\nAnswer: -4, -2.7, -1\/561, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 2*b**3 - 2*b - 2*b**3 + 8*b - 2*b**3. Let o(a) = 2*a. Give w(o(k)).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*w + 1 = -3*r, 4*r - 61 = -5*w. Calculate the lowest common multiple of 15 and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3 + 2 = 0, -37 = 4*z - 5*l. Let x = z + 17. Let u(y) = 1 - 4 + 1 + x*y. Let g(r) = 13*r - 3. What is 5*g(w) - 7*u(w)?\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*q = -25, 2*k - q + 2*q = 77. Let i = k + 83. What is the greatest common factor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217808 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17434\/5 + -3434. Let q = s + -53. Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 6*p + 8 = 0, 2*l + 3*p + 23 - 13 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(68))\/(sqrt(64)*2 + sqrt(4)) + 2*(sqrt(1377) + (sqrt(1377) - (-1 + sqrt(1377) + sqrt(1377)) - sqrt(1377)))**2 + (sqrt(17)*-1*2*-2)**2.\nAnswer: -328*sqrt(17)\/9 + 3028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 31*f**2 - 7*f - 12. Let d be c(-3). Suppose -31*h + 28*h = -d. Suppose 21*m + h = 27*m. Calculate the highest common divisor of m and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*s + 4. Factor 2*t**2 + 2*t**3 - 3*t**s - t + t**5 - 3*t + 1 + t.\nAnswer: (t - 1)**4*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-20))\/(56\/(-20))*(-21)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/28 and -3\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20372 - 19655. Solve 6*g - 723 = -v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643*d - 17 = 638*d - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*o - 4*n, 27 = 2*o - 2*n - 1. Calculate the highest common divisor of o and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -17150 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 184*m**2 - m + 2. Let q(j) = -j**2 - 22*j - 27. Let v be q(-20). Let h be (-2)\/v + (-105)\/(-91). What are the prime factors of w(h)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-10 - 7) + 41.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 370 (base 12) to base 13.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + 3. Let m(a) = -a**2 + 18*a - 12. Is m(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -196693237, -196693229, -196693207, -196693165, -196693097, -196692997?\n\"Answer: f**3 + f**2 - 2*f - 196693237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6677\/525 + 387\/25. Find the common denominator of -97\/924 and y.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1119*d**2 + 2*d + 14. Let z(h) = 561*h**2 - h - 8. Give 4*i(a) + 7*z(a).\nAnswer: -549*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -145*(-3 + 5 - 1*5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 701?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f + 77. Let m(t) = -2*t + 37. Let x(r) = -13*m(r) + 6*y(r). Let v be x(12). Solve -10*s = -v*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(3584) + sqrt(3584) + -3*sqrt(3584)))\/((-1*sqrt(56))\/sqrt(7) + -1*sqrt(16)\/sqrt(2)).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + -7 - 3) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2787883?\nAnswer: 7, 61, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 97989.06 decades?\nAnswer: 9798.906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-70)*5\/19 - 3600\/(-456)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-17)*n\/(n*n*n\/(n\/n**(1\/4))) assuming n is positive.\nAnswer: n**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.3 (c) 1\/8 (d) 5 (e) 76\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7924, -27603, -59038, -102229, -157176, -223879, -302338?\n\"Answer: -5878*o**2 - 2045*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 10*k. Is s(5) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**3\/5 - 6*r**2\/5 + 12*r\/5 - 8\/5 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*a + 68. Let n be 2*a\/(-8)*(-1)\/(-10). What is the smallest value in n, -0.2, 0.6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246528 divided by -3?\nAnswer: -82176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 262 - 184. Let n = f + -50. Suppose -2*b = -0*j + j - 1, -5*j + 38 = -b. What is the highest common divisor of j and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/216 and 31\/311616.\nAnswer: 934848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8591 - -8590.82491. Round x to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/88 and 139\/262790.\nAnswer: 1051160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.3 (b) -1 (c) -0.4 (d) 1.605 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5088*s**2 + 9 - 5088*s**2 + 2*s**3 - 3*s. What is the units digit of t(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68402179 to the power of 1\/2, to the nearest integer?\nAnswer: 8271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453522 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: Let p(z) = -6*z**2. Suppose -37*q - 64 = -45*q. Let c(h) = -56*h - 8. Let r(i) = -19*i - 3. Let u(j) = q*r(j) - 3*c(j). What is u(p(m))?\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 13*r + 2. Let c be y(13). Suppose -c*m = j - 17, -3 = -j + m + 11. What is the derivative of -j*n**2 + 28 + 14*n**2 - 5*n**2 wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19569 (base 12) in base 11?\nAnswer: -25958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24190429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -4. Let p = 12 + x. Let o(h) = h**3 + 3*h**2 + h + 4. Let b be o(-3). Sort p, 3, b.\nAnswer: b, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2411212 and 23069?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47280.03 nanograms in tonnes?\nAnswer: 0.00000000004728003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/9*1)\/((-2)\/(-18)). Does 4 divide w\/9*-75 + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1289*m + 722*m + 567*m - 12*m**3 + 16*m**3 - 30*m**3.\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3927*v - 3952*v + 63300. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.39. Let v = x - -0.09. Which is the closest to 0.2? (a) 3 (b) v (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.42 - -2.58. Let r = 3.3 - 3.11. Let g = r + -0.39. What is the third smallest value in -1, s, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-22))\/(3979\/43769)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 988 and 208?\nAnswer: 3952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(114)*-1)\/sqrt(6)*2)**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/5 and ((-22)\/(-77))\/((-4)\/(-106))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 2*u + 57, 5*x - 2234203 = 2*u - 2234106 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3608 = -626*y + 298*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 11*i. Calculate w(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*z + 16*z - 2*n + 1, 122 = -22*z + 4*n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(1*sqrt(210) + sqrt(210)))\/(sqrt(405) + sqrt(45)))\/(-2*-1*sqrt(66)\/(sqrt(44)\/sqrt(4))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-141)\/(-423) + (-11)\/6)*-1. What is the fourth smallest value in s, -137, 0.3, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 10*u + 103. Calculate the remainder when c(9) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 140 + 946. Let m be (-1317)\/b - (-15)\/10. Let r = 12002\/2715 - m. Find the common denominator of r and -77\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 10. Let u be m(-12). Let l = -2\/2403 - 11927\/105732. Let k = l + -95\/132. Which is bigger: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c4924 (base 14) in base 8?\nAnswer: 7754504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*(5*(4 + (sqrt(300) - (1 + sqrt(300) + -5) - sqrt(300))) + 1)**2.\nAnswer: -4100*sqrt(3) + 9186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f - 13*f - 7*f as y + w*f and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -9454320?\nAnswer: 9454321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00645 plus 0.3?\nAnswer: 0.29355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98759\/4136 + 3\/1034. Let a = h - -24. Let x = 3 - 5. What is the smallest value in -5, x, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00586142 to six dps.\nAnswer: 0.005861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -x - 7*x. Suppose 2*y = -4*p + 3*y + 3, 5*p = x*y - 15. Suppose 4*s + 3*c + 1939 = -2*c, -3*c = p*s + 971. Round s to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23428*d - 23430*d + 3*p + 25 = 0, -p - 3 = 2*d. Factor 1\/2*j**d - 49\/2*j - 25.\nAnswer: (j - 50)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2297144 rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*s**2 + 9*s**2 + 14*s**2 - 31*s**2 - 24*s**2.\nAnswer: -52*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -66.6*-10\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 + 2054. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3885, -7772, -11661, -15552, -19445, -23340?\n\"Answer: -u**2 - 3884*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**5\/12 + 12*x**2. Let p(y) = y. Let f(n) = 4*n. Let b(c) = 2*f(c) - 7*p(c). Calculate b(q(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcwpwwfwwcyywfcfwwf. What is prob of picking 2 w and 1 y?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12404)\/(-37716) + 2\/(-6). Is y < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, u: 1, v: 1, q: 13}. What is prob of picking 1 i and 1 v?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - n**2. Let l(j) = -2*j**3 - 10*j**2 + 14*j - 11. Let y(x) = 3*c(x) + l(x). Calculate y(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 29 = -f, 0 = 2*f - z - 8 - 23. Let i be 2\/f + (-132)\/42. Let a = i + 12. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by 2.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxsxsllssxxxxssx. Give prob of picking 1 s and 2 x.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 - 72.9198133141.\nAnswer: -89.9198133141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-315)\/40 - -9)*59136\/2016\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 489?\nAnswer: 489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 16*m + 13*m. Let l(o) = -48*o**2. Determine l(k(f)).\nAnswer: -192*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -10*o - 2. Let p be w(-4). Factor -24*b**2 - 3*b + 15*b**4 - 40*b**4 + p*b**3 + 7*b + 7*b**3.\nAnswer: -b*(b - 1)*(5*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -28*m + 33*m - n, -2*m = -5*n - 4. Solve 2*v - 1 = -h + m, -v - 3 = -4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -186*f**5 - 58052*f**4 + 2*f + 1680297 wrt f.\nAnswer: -3720*f**3 - 696624*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -0.4\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43031 and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 723520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9915731 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26636513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate y**2 + 3397683*y - 34203483 with respect to y.\nAnswer: 2*y + 3397683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**4\/12 - o**2\/2 + 26*o + 2. Let r(n) = 10*n**2 + 11. Calculate -44*g(j) - 4*r(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -149*j + 29*j - 31*j to the form u*j + t and give u.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 0*b + 4\/3*b**3 - 5*b**2 + 0 - 3\/4*b**4. What are the prime factors of y(-9)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3937\/24 - -164. Which is bigger: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 > 5845.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 407.96 + -407.9600065196. What is r rounded to 7 decimal places?\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 + 0*r**2 + 0*r**2 + (8050*r**3 - 17831*r**3 + 8239*r**3)*(0 - 3 + 4)*(5*r + 0*r - 3*r).\nAnswer: -3085*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 415 = 5*y, -y - 2*h + 26 = -51. What is the greatest common factor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 divided by 10310?\nAnswer: 226\/5155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 1 + 11*k - 4*k**2 + 3 - 3*k - 5*k**2 + k**3. Let v be r(8). Calculate the remainder when 47 - 2\/(-3 + v) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -2, -208, 3, 23 in ascending order.\nAnswer: -208, -39, -2, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 3:01 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.5 - 27. Sort q, -1, 0 in descending order.\nAnswer: q, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amafammmykmfaamkak. Give prob of sequence aaa.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 3 + 3)*(20 + 0 + 12) - 2*x - 1 + 2*x + x.\nAnswer: 65*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 1\/4*l**3 + 6*l - 27\/8*l**2 - 86. Factor z(d).\nAnswer: 3*(d - 8)*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47827 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 49*n - 21*n - 2*n**2 - 28*n. Let k(t) = t + 3*t + 5*t. Calculate k(m(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 10*d - 20. Let x be j(-6). Let p(t) = 2*t**2 - 6*t + 9. Let i be p(x). Calculate the greatest common divisor of i and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v - 31 = -3*g, 27 = 5*v + g. Suppose -156*q - 6256 = -140*q. Let y = q + 384. Which is the fourth biggest value? (a) y (b) v (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 71604?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 4642806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59695876?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 31 + 19 - 20.\nAnswer: 3*h + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -252*k**2*l**2*p**2 - k**2*l**2 - k**2 - k*l**2 + 131*l**2*p wrt p?\nAnswer: -504*k**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3512364 divided by 29?\nAnswer: 121116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 56947753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 182.24 (b) -1\/69 (c) 0.5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6216 and 19672863?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*v - 5. Suppose -4*b + 25 = -i + v, 3*i + 22 = b. Let h be -3*(i\/(-351) + 0). Is 1 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 3, i: 2, y: 1, p: 5}. Give prob of sequence yn.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 20 = -g. Suppose g + 0 = 3*m. Suppose -4*i = -2*r + 378, 4*i - 22 = -m. Is 33 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -30*s + 182. Let w(n) = 7*n - 42. Let c(j) = -6*l(j) - 26*w(j). Let g be ((-3)\/2)\/((-3)\/4). Let r(z) = z - g*z + 6*z. Give c(r(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4632 - -5244614?\nAnswer: 5252546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381 = 2*l - 4*l + 5*i, 2*l - 402 = -2*i. Suppose -9*m = -l - 18. Solve 2*z + 4*k - 3 = -27, -5*z - m = k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g**3 - 2*g**2 + 3*g. Let r(u) = 25*u**3 - 7*u**2 + 10*u. Determine 7*b(s) - 2*r(s).\nAnswer: 6*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -15. Let t be 6\/8*v\/27. Let a be 46\/30 - 2 - (-5)\/(-25). Put t, 0.5, a in descending order.\nAnswer: 0.5, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239992315, 239992317, 239992319, 239992321, 239992323?\nAnswer: 239992325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1492?\nAnswer: -1\/1492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13592 + 3*z + 13592.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29058, 57792, 86202, 114288, 142050, 169488?\n\"Answer: -162*r**2 + 29220*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -611*f**4*o - 11*f**4 - 3*f**3*o - 2*f**3 + 2*f**2*o - 2*f*o + 690595*o wrt f.\nAnswer: -14664*f*o - 264*f - 18*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2001121100101 (base 3) to base 11.\nAnswer: -688334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 - 200*z**2 + 5015*z. Let f(v) = v**3 - 100*v**2 + 2509*v. Let m(t) = -3*a(t) + 5*f(t). Find h such that m(h) = 0.\nAnswer: 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06371 and 0.7271.\nAnswer: 0.046323541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/6*(1\/8)\/(43\/(-172))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3047108ns in hours?\nAnswer: 0.000000000001195753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*s - s. Suppose -a + 3 = 2*v + 2, 0 = 5*a - v - 27. Suppose 2*t = -s*t + a. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*w**5 + 2812*w**3 - 10788*w**2 + 33.\nAnswer: 4140*w**2 + 16872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 22470539 - -0.4\nAnswer: 22470539.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.9 (b) -2\/3 (c) 5\/52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 2805374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 1, u: 1, b: 1, m: 1, d: 1}. Give prob of sequence me.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6144 and 1879872.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m**3 - 50*m**2 + 4. Let h be i(-10). Suppose -2*k = -v, -4*k = -4*v + 4 + h. Solve -21 = -z + 5*f, 8 + k = -2*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 12*y**2 + 4. Let l be i(12). Let z(m) = -m. Let t(p) = 5*p - 4. Let n(r) = l*z(r) + t(r). Suppose -3*w - 4 = 8. What is n(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 - 6*x**2 - x**2)*(x**2 - x + x) + x - x - 2*x**4 + 4*x**4 + 0*x**4 - 3*x**4 in the form v*x**2 + l*x + c*x**4 + f*x**3 + a and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 476, 440, 3, -2\/23 in increasing order.\nAnswer: -2\/23, 3, 5, 440, 476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.5*10112\nAnswer: 25280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.2 - 1.9. Let f = m + -0.3. Let s = f - 0.9992. Round s to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h - 3. What is the remainder when 340\/14 - 20\/70 is divided by x(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -1025*u**2 - 8*u + 5. Let y(s) = 3075*s**2 + 23*s - 14. Let d(f) = 17*m(f) + 6*y(f). Let t be d(-1). Suppose -261 = -5*x + t. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3))**(-21)*l**(-6)*(l\/(l\/(l\/l**(1\/4))))\/l assuming l is positive.\nAnswer: l**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -268, -331, -392, -451?\n\"Answer: m**2 - 66*m - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**(-7\/5)\/l)\/l*l**(-9)*l)\/(l**12\/l**(-7)) assuming l is positive.\nAnswer: l**(-147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -2. Find the common denominator of (-302)\/2*g\/(-18) and 0\/(-2) + (-70)\/(-22).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-75)*(-3)\/(-6)*1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a second in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.58 + -0.42. Let z = 2 - 1.7. Let l = 25246\/7 + -3607. Which is the nearest to -3? (a) z (b) l (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1 + 9*l - l - 10*l. What is w(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*g + 320 + 1191 + 73 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*1*(1 - 0). Let f be -2 - -13 - (p + -2). Solve -n + 3 = 0, -4*o - f = -0*o - 5*n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkk. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (124\/48 - 2) + (-1)\/3. What is the nearest to -0.04 in 0, t, -1, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v = -33*v + 8. Solve -4*a + 16 - 2 = 2*q, v*a + 3*q = 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81180195*-4.\nAnswer: 324720780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, c: 1, u: 4, a: 2, l: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6948981, 13897960, 20846939, 27795918?\nAnswer: 34744897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 225\/(-20)*12\/18*2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3))**14\/(p*p**(-2\/23)\/p*p*p**(2\/33)*p*p*p) assuming p is positive.\nAnswer: p**(-34894\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 9*q + 112 = -q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 992 > 626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (54 + -38 + 12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0497, -3, -0.4, 5\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (189\/(-15))\/((-8)\/40). Find the common denominator of -93\/2 and 857\/18 + (-7)\/m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -437345077757\nAnswer: 437345077757.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(30\/8))\/((-240)\/(-200))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41704 is divided by 380?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 0*h + 0 + 38*h**2 + 1\/105*h**5 + 0*h**3 + 1\/21*h**4. What is k in p(k) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22598 - 1199?\nAnswer: 21399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 8 - 108. Solve -2*o - 2*o = f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 1283706 = 12*w - 2*h, 0 = -3*h - 9. Round w to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 314*j + 4457. What is w(15)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/((-28)\/(-12)) - -2. Let r(c) = c - 26 + 15 - l*c. Suppose 0 = 43*t - 64*t - 105. Let y(a) = 2*a + 5. Calculate t*y(g) - 2*r(g).\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 0 - p - 1 + 7*p**2 + (-p + 0*p + 3*p)*(-3*p + p + 0*p) - 21*p**2 - 483*p + 483*p.\nAnswer: -18*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 110. Suppose a - n = -3*a. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0907 and 166892.\nAnswer: 15137.1044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 107*y - 126. Let h be d(17). Suppose 0*j + j + 2 = 0, -5*t = -4*j - h. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 24957*n**2 + 24939*n**2 + 24927*n**2 - 74859*n**2.\nAnswer: -36*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3*n - 8, z = 4*z + 4*n + 15. Suppose -4*f = 2*k + 94, -k - f = -5*k - 197. Let d = k - -44. What is the fourth smallest value in d, z, 2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + -4 - (4 - -7)) + -23.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three quarters of a litre in millilitres?\nAnswer: 5750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 117474 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7165 + -60?\nAnswer: 7105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1839*i**2 + 1846*i**2 - 3681*i**2 - 244 to the form h + n*i + z*i**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n - 1. Let t be s(-1). Let i = -5 - t. Solve i*y - 5*o - 30 = -y, 2*o = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -749 - -244. Let y = z - -504.6. What is the closest to 7\/3 in y, -2\/13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34194 and -4.\nAnswer: -136776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 2*j**3 - 2*j**3)*(1 - 3*j - 1) - 11*j**3 + 2*j**3 + 104*j**4 - 8*j**3 + 21*j**3.\nAnswer: 98*j**4 + 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by -49.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -9.943 bigger than 2\/7491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q**(-1)*q*q\/(((q*q**5*q)\/q)\/q)*q*q**1\/q)\/((q**(2\/17)*q)\/q*q*q*q**(-5)*q**(-3)*q\/q**(1\/2)) assuming q is positive.\nAnswer: q**(47\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 7*r**5\/20 - 2*r**3\/3 - 3*r**2\/2 + 402*r + 5. Let n(f) = 21*f**3 - f**2 - 13*f - 10. Give 2*n(b) - 7*p(b).\nAnswer: -7*b**3 - 2*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, f: 1, i: 3}. Give prob of sequence ifq.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -652 = -2*z + j - 4128, -3*z - 2*j - 5207 = 0. Let k = z + 2736. List the prime factors of k.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q. Suppose -4*a - 5*v = -2*v - 29, 2 = a - v. Suppose 0*j - j + a = r, -r + 8 = 2*j. Let z(p) = 3*p**r - 2*p**2 - 2*p**2. Determine k(z(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0 = 5*b + 5, 2 = -2*b + 3*p. Sort 3, -9, b.\nAnswer: -9, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5\/b**(-3))\/(((b**(-1\/23)\/b)\/b)\/((b*b**(-1\/5)*b)\/b)) assuming b is positive.\nAnswer: b**(1247\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*r**2 + 6*r**2 - 16*r**2 - 126*r**4 + 71 wrt r.\nAnswer: -3024*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 457 = 3*h, -4*a = -19 - 1. Let u be (-2)\/(4\/h - 10\/45). Suppose -3*p + 7 = -u. Solve 4*g - 5*b = g + 20, 0 = -4*g - p*b - 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-seven halves of a micrometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (326 - 332)*(-18)\/(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 165 (base 11) to base 4\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3986?\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 0 = 6*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6*40\/(-105))\/2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c9a9 (base 15) to base 9.\nAnswer: -64486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22.58751l?\nAnswer: 22587.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00445888 to five dps.\nAnswer: 0.00446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -17*k**3 + k**2 + 2*k + 1. Calculate the remainder when o(-1) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3))**(-42)\/((o*o\/(o*o**(-10)\/o))\/(o\/(o\/(o**4*o)*o)*o)))**(-40) assuming o is positive.\nAnswer: o**(-4760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1058*p**4\/11 + 2208*p**3\/11 - 1244*p**2\/11 + 96*p\/11 - 2\/11.\nAnswer: -2*(p - 1)**2*(23*p - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2414140 + -53?\nAnswer: 2414065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n + 24. List the prime factors of p(-5).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by -8 - (-13)\/((-130)\/(-440))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**3 - 12*t**2 - 12*t + 38. Give v(5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 15. Let y(a) = -a**2 + 18. Let l(t) = -6*q(t) - 5*y(t). Let g(d) = -d**2 + 2. Give l(g(r)).\nAnswer: -r**4 + 4*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-935)\/(-12) + -2 - (-58)\/(-87). Let j = -75 + c. Let h = 2\/57 - 179\/228. What is the third smallest value in h, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -29 + 32 - (-43)\/(-13)*3. Suppose -3*t - z + 3 = 25, 0 = -4*t + 5*z - 4. Is t at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.01 (c) -42\/11 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 4 (c) -306 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 235 - 357. Let z = -71 - t. What is the remainder when z is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g**2 - 3*g - 108. Let l(s) = 5*s**2 - 2*s - 64. Let z(o) = 3*j(o) - 5*l(o). Let f(q) = -2*q + 3. Let m = -5 + 2. What is m*z(k) - 4*f(k)?\nAnswer: 3*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2503, 4957, 7421, 9901, 12403, 14933, 17497?\nAnswer: 20101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66838256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 - -0.65. Let h = 0.15 - r. Sort h, 5, 0 in descending order.\nAnswer: 5, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376352.\nAnswer: 2, 19, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 94380*l. Let g(x) = 780*x. Let i(b) = -364*g(b) + 3*s(b). Let h be i(-10). Round h to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaa. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 8*u**2 - 8*u - 11. Let p be w(-6). Suppose -134 = -5*j - p. Let v = -5 + 11. Solve v = j*h + 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*q = 5*n - 13, 0 = n + 4*q + 7. Is n smaller than -6\/641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/33 + (-31)\/3. Let m(y) = -y**3 - 11*y**2 - 13*y - 22. What are the prime factors of m(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, v: 4, e: 7}. Give prob of picking 1 v and 1 a.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74227939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1280)\/170 + 11)\/(-4) + 2\/17?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 65444.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 409175016 and 12.\nAnswer: 409175016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4402386.98 rounded to the nearest one hundred thousand?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*t + 32 = -0*t, 4*t - 8 = -2*x. What are the prime factors of 54\/(-12)*x\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 10\/3*a**3 - 11\/24*a**4 - a**2 + 8*a + 0. Let l(j) be the first derivative of x(j). Find the first derivative of l(y) wrt y.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 2. Let h be 38\/(-6) - 2\/(-6). Let v(p) be the third derivative of -p**4\/8 + p**3 + 1764*p**2. Give h*v(s) + 17*y(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 2630*x**2 + 14 - 2*x - 39 + 4*x + 2542*x**2 in the form j*x**2 + u*x + m and give j.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/4 - 78927*u**3\/4 + 1556459775*u**2\/4 + 35840339375*u\/4.\nAnswer: u*(u - 39475)**2*(u + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21605 - -21599. Sort h, -69, 1, 3, -3 in ascending order.\nAnswer: -69, h, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5826 divided by -4\nAnswer: 2913\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**3\/2 + g**2\/2 - 2*g. Let d be c(-5). Suppose -3*b + 42 = 3*h, b - h - d = 2. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -262, -258, -254, -250?\n\"Answer: 4*o - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f - 7. Let u(k) = 14 + 10 - 38 + 20 - 5*k. Calculate 4*u(l) + 3*v(l).\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/1 + (2 - -2). Let q be 0 + 3 + b + 0. Suppose 0 = -36*j + 80 - 116. What is the second biggest value in -5, q, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 - 2*i**2 - 27144 + 27146 - 11*i**3 - i**4 + 2*i to t*i**4 + z*i**3 + s*i**2 + o + u*i and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 159973, 159981, 159989, 159997?\n\"Answer: 8*u + 159965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.12188 litres in millilitres?\nAnswer: 45121.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 23 - 10. Let k = -21 - q. Let t be (-2)\/k + 189\/(-36). What is the smallest value in -4, 2\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -992 - -1010. Suppose -2*h = h + 3, -h + 39 = 4*k. What is the least common multiple of j and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0182 - 0.0838. Round w to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*i + 4. Let k(g) = -5*g**3 - 2*g**2 + g - 2. Let a be k(-2). Suppose i*s = -a - 95. Round s to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = 4*c - 684. Calculate the greatest common factor of 37 and c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -11. Suppose 0*o = -3*o + g. Suppose -3*f - o*m + 21 + 18 = 0, 2*f - 4*m - 32 = 0. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - 33 - 45 - -10?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from allh. What is prob of picking 1 a and 1 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/(d**4*d))\/d)**(3\/17)*(d**(-3\/5))**(-2\/7))**(-47) assuming d is positive.\nAnswer: d**(14946\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8315.\nAnswer: 5, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/((-525)\/42))\/(((-13)\/(-1742))\/((-1)\/4)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 19\/4 of a day?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.927 + 0.9269601. What is w rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/10)*x)\/(x\/(x\/(x\/(x*x**(-4))))) assuming x is positive.\nAnswer: x**(-29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 7*b**2 + 7*b - 3. Calculate the remainder when 8 is divided by o(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-9)\/27*(-3)\/4*-20.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/34276 and -51\/4001723.\nAnswer: 16006892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 5*k + 3, -s + 170 - 164 = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -5*z**5 + 70*z**4 - 40*z**3 - 310*z**2 - 195*z = 0.\nAnswer: -1, 0, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 - 4*n - 4. Let m be p(-1). Suppose -10 = -m*v + 5*v, 4*x - 164 = 4*v. What is the greatest common factor of 144 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 0*p**3 - p - 1\/6*p**5 + 29\/210*p**7 - 17*p**2 + 0*p**6 + 0*p**4 + 0. Find the third derivative of y(o) wrt o.\nAnswer: 696*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from {j: 1, v: 2, r: 1, i: 1, l: 2, n: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyoyoooo. What is prob of sequence ooo?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -2*g**7\/21 + 28*g**6\/15 - 76*g**5\/5 + 200*g**4\/3 - 512*g**3\/3 + 256*g**2 + 983*g. Factor h(t).\nAnswer: -4*(t - 4)**2*(t - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = -3*s. Let j = -7 - -6. Which is greater: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/12)\/(3\/8)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*t + 9846, 4*g - 12512 = -3*t + 2240. Does 82 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 235309 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**5\/15 - a**2. Let b(h) be the third derivative of -h**5\/30 - 10*h**2 + 2*h. Calculate b(q(u)).\nAnswer: -32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 357 and 483?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29817240, 59634478, 89451716, 119268954, 149086192?\nAnswer: 178903430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -10202841.\nAnswer: -10202841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 174*k*y**2 + 14*y**2 + 54 with respect to k.\nAnswer: 174*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/5*(4\/9)\/(-4).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1546870781.\nAnswer: 269, 5750449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k**2 + 5*k. Let q(u) be the first derivative of u**3\/3 - u**2\/2 + u - 64. What is 4*q(g) + v(g)?\nAnswer: -2*g**2 + g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7376442 millilitres in litres?\nAnswer: 0.0007376442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-14 - (10 + -31))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/((i**(3\/7)*i*i)\/i)*i)*i*i**(9\/5)*i)**(2\/17))**(-16) assuming i is positive.\nAnswer: i**(-3616\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -4\/3315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.07 + 5.07. Let f = -0.1 - -0.8. Let x = 1 - f. What is the third smallest value in i, -0.1, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c3 + 9c?\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -18*m + 16. Suppose -5*x = -m*x - 2*c - 1155, -3*x + 1155 = 4*c. Does 35 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f - 2. Give k(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 768459239 to the power of 1\/2, to the nearest integer?\nAnswer: 27721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51220 - 67?\nAnswer: 51131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from qqxwqqgmqwwqqmwm?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 0*s**2 + 4*s**3)*(-4*s**2 - 1 + 1).\nAnswer: -16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8702573 is divided by 1623?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 7*f**2 + 9*f + 28. What is z(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1736 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1221201121 (base 4) to base 15\nAnswer: -880e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086043 rounded to the nearest 1000?\nAnswer: 1086000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*j = -140*j + 42. Which is the fourth smallest value? (a) j (b) 2\/61 (c) -0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86239469 to the power of 1\/3, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2445 + -0.1445. What is the closest to g in -1\/11, 0.7, 0, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + h - 2. Let p be 11\/(11\/12) - -3. Suppose -2*z - 197 = -5*s + 2*z, -5*z - p = 0. Let r = -42 + s. Give a(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1508.807 + 1508. Let h = 0.067 + i. Round h to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 909880565?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13 - 4) + (2 - 6). Let h be 47\/w - (-18)\/(-45). Let i(n) = -2*n + h*n - 8*n. Give i(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045323240 to the power of 1\/2, to the nearest integer?\nAnswer: 45225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by -9?\nAnswer: -70\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*s + 958 = -606 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/5818 and -28\/3949.\nAnswer: 22975282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 32.2. Let y = 52.44 - -3.66. Let i = y + -54. Which is smaller: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45529.5085 - -207323.50826. Let o = v - 161788. Let x = o - 6. What is x rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.2361 - -0.1961. Which is bigger: w or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5*c - 1939, -2*s - 12*c + 1256 = -8*c. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 - 2*m**4 + 4*m**4)*(0*m - 2*m + 3*m) - 11*m**5 - 11 + 11 - 4*m + 2*m**5 + 4*m + (0*m**2 - m**2 - 3*m**2)*(6*m**3 - 2*m**3 - 3*m**3).\nAnswer: -11*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*o**2 - 290 + 32 - 31 - 36*o**2 + (2 - o - 2)*(-2*o - 2*o + 6*o).\nAnswer: -16*o**2 - 289","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2470353 to the power of 1\/2, to the nearest integer?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -674249, -1348499, -2022749, -2696999, -3371249?\nAnswer: -4045499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-28)*4*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34977*j**3 + j + 13161?\nAnswer: 209862*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-77 + (10 - 21) - -8 - -2).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/15*2\/(-45)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 12:41 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**4\/3 + 17*j**3\/2 + 26*j**2. Let b be t(-13). Let n = b + 119. What is the greatest common divisor of n and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10336)\/(-3808) + (-7908)\/2898?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-55182)\/(-30296) + (13\/(-4) - -1)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 2*p + 48 + 10)*(7*p - 3*p + 0*p).\nAnswer: -8*p**2 + 184*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + l. Let h(w) = 4*w**3 - 11*w**2 + 9*w. Calculate -h(d) - 3*k(d).\nAnswer: -d**3 + 11*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 2*c + 30355 = -7*j, -5*j = 3*c - 151810. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*3\/(-108) - (-608)\/(-192).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59552.\nAnswer: 2, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/(-1))\/40)\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 1. Let d(c) = -4*c**3 + 6*c**2 + 3. Let v(f) = -d(f) + 4*z(f). Let r(t) = -11*t + 0*t + 14*t + 58. Let n be r(-19). What is v(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.3373 + -0.291738914\nAnswer: 10.045561086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*x + 280 - 153 - 164)*(1 + 1 - 4).\nAnswer: -22*x + 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1541002 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14200, 28222, 42244, 56266?\nAnswer: 70288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - 1768\/(-39) - (-1)\/(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 0. Does 3 divide -2*8\/l + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 25*m - 71. What is the remainder when 96 is divided by j(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 1. Let w be r(-5). Suppose -w*p = -57 - 39. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8514*v. Let m(y) = 133*y. What is 387*m(c) - 6*w(c)?\nAnswer: 387*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82588.\nAnswer: 2, 11, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2 - 8. Let x be k\/(-6) - 10\/(-15). Let m be x\/(-5) - 82\/(-10). Solve -o - 2*r - m - 1 = 0, 3 = -2*o + r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 5*o + 4. Let b be q(-3). Let v be b*(27\/(-6) + 3). Solve -5*l + l - 6 = 2*i, -v*i = 3*l + 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 6*r**2 + r + 24. Let b be u(-10). What is the greatest common divisor of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 323 by 78.\nAnswer: 323\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**3 - 2*b**2 + b. Let p be z(1). Calculate the common denominator of (-111)\/4*2\/3 and (p + -1)\/(-2) + 86\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/3*(-273)\/3. Suppose -20 = -4*t, 2*m = 6*m + 3*t - h. Let b = -10 + m. Calculate the remainder when b is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.164 - -120.164. Let n = l + -115.3. Let g = n + -1.7. Sort 3\/8, 5, g, -2.\nAnswer: -2, 3\/8, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 37.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-184)\/(-342) + 16\/(-72). Let t = -5\/76 + b. Find x such that -3\/4*x**3 - t*x**5 + 1\/4*x**2 + 3\/4*x**4 + 0 + 0*x = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48314 + 113623. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3369.\nAnswer: 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*z + 25*z + 1418 + 173 = 5920 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -20.4, 4.\nAnswer: -20.4, -3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/5 - 21\/35. Let m(q) = -4 - 5*q + q**y + 5 + 3. Determine m(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841376 is divided by 5163.\nAnswer: 4970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39\/68 - 3\/17. What is the second biggest value in 5, n, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 2*q**3 - 2*q**3 + 39*q**2 - q**4 + 2 + 2*q**4 - 38*q**2 to the form j*q**4 + b + z*q**3 + y*q**2 + v*q and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 3. Let q(p) = -p**3 - 9*p**2 + 11*p + 10. Let b be q(-10). What is u(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 0 - 1 = -2*l, -3*t = 4*l + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8016 and 61623.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/42)\/(6\/126*7).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-10)*(-25)\/20?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/(q*q\/(q\/(q\/((q\/((q*q\/q**(-2)*q*q)\/q))\/q)))))**48 assuming q is positive.\nAnswer: q**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 14. Let m be 15\/w + 1 + (-1)\/2. Solve 1 = -x - m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**2 + 2 + 0 + 3 - 12*f - 2. Is v(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 8, v + 2*v - 2*p = -58. Let l = v + 27. Solve -l*w - 2*o - 6 = 2, -5*o = -5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + a - 2. Let l be x(0). Let m be (-1)\/l*22 - 3. Let r = 23 - m. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15404 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16139072437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*c + 33, 0 = -h - 2*h + 9. Suppose -9*v + 23 = 3*y - 5*v, -5*y = -3*v + c. Let g be (-2)\/(-3)*(-3)\/21. Is g at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8335516012 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5\/(l\/((l\/(l*l**(-1\/4)))\/l))*(l*((l**(-1\/4)\/l)\/l)\/l*l*l)**(1\/62))\/(l**6*l\/(l\/(l*l*l**(2\/7)))*(l*l*l**(4\/7)\/l)\/l**(-3\/7)) assuming l is positive.\nAnswer: l**(-12221\/1736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -611*b - 50*b - 77*b - 84870 for b.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-5 - (5 + -10)) - -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 1, j: 1, o: 1, p: 3}. Give prob of sequence co.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 18*q + 18 to l*q + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*v**4 - 1252*v**3 - 3257*v**2 - 1806*v + 576 = 0. What is v?\nAnswer: -32, -3\/2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/2)\/(g\/(((g*g**(-1\/10)\/g)\/g)\/g)))\/(g*(g**(-4)\/g)\/g)**(5\/2) assuming g is positive.\nAnswer: g**(79\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 + -5. Calculate the least common multiple of u and (-3)\/(-11) - 255\/(-33).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 + -91. Which is the fourth smallest value? (a) -1\/2 (b) -5 (c) 0.4 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 7*v - 3*v. Let h = 23 - v. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**2\/3 + 7330*f + 8364136\/3 = 0?\nAnswer: -374, 22364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/(-37638)*123)\/((-14)\/(-132)).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 6.08 (c) 0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 12970240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4773, 4774, 4777, 4782, 4789?\nAnswer: 4798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 153*n**4*w + 63*n**3*w + 7*n**2*w - 219*n**2 wrt n?\nAnswer: 3672*n*w + 378*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1481172 divided by 308.\nAnswer: 4809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 73534 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: -57 (base 15) to base 13\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -500 - -635. Calculate the least common multiple of l and 9.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + v**2 + v + 50. Does 12 divide u(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. What is the units digit of (-3)\/(-6) - (-3)\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 73566?\nAnswer: -73566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 131*k**6\/30 - k**5\/10 - k**4\/2 + k**2\/2 + k - 116. What is the third derivative of l(u) wrt u?\nAnswer: 3144*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 divided by 16?\nAnswer: 113\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(2)*-2)*-5.\nAnswer: -25 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 3. Let r be 2\/(-1*4\/(-22)). What are the prime factors of i(r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10\/1381 + 31463\/41430. Let a = -15155\/6 - -2516. Find the common denominator of y and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.23 - -0.06. Let t = w + -0.03. Which is the third smallest value? (a) 0.4 (b) t (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2772992139 rounded to the nearest 100000?\nAnswer: 2773000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 124\/19573 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 120499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, i: 7, u: 6}. What is prob of picking 1 c and 2 u?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*o + 13 - 20 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 95426.84 litres in millilitres?\nAnswer: 95426840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*c - 3*m - 232, -c = 4*m - 105. Suppose 4582 = 57*t + t. Let f = c - t. What is the greatest common factor of f and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1856)\/3)\/(3\/18). What are the prime factors of (-1)\/(-5) + q\/(-40)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.4, -6\/5, -1, -51, -3\/4 in decreasing order.\nAnswer: 0.4, 0.2, -3\/4, -1, -6\/5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29028 and 36816.\nAnswer: 1509456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = 21552 - 116560. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*j + 4*m, 3*j + 5*m + 8 = -36. Let n = 113 - 82. Calculate the remainder when n is divided by (8\/5)\/(j\/(-40)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1828484 or 5485448\/3?\nAnswer: 1828484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484 - 123 - 119 - 116 - 4*u - 126.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by 26.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73898726.\nAnswer: 2, 11, 3359033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9}. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*1*(-1097310000)\/450. Round i to the nearest 100000.\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150236 is divided by 97.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 times -11421?\nAnswer: -4831083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -396, -388, -380, -372, -364, -356?\n\"Answer: 8*a - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 10:30 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 10*s + 11. Let b be n(11). Suppose 4*i - 3*q = -b*i + 167, -3*q = 3*i - 99. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 9 + 30 = 0. Sort 1, 2, h, -2 in descending order.\nAnswer: 2, 1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, l: 8}. Give prob of picking 3 s and 1 l.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 224\/48 - 22\/6. Let s(j) = 65*j**3 - j + 0*j + 0*j. What is the units digit of s(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k**(-8)*k)\/k)**(-6\/13)*(k\/k**4)**36 assuming k is positive.\nAnswer: k**(-1362\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 0.06, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 462577098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*5\/((-55)\/22).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4017 - 4001. Sort 1.15, u, -5.\nAnswer: -5, 1.15, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2409\/10 - -442\/5. Let w = a + 154. Let i(y) = -y**3 - 5*y**2 + 5*y - 6. Let c be i(-6). Put 5, -1, c, w in decreasing order.\nAnswer: 5, w, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 14) to base 11.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39631 is divided by 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 5. Let r = 0 + l. Suppose -z = z - r. Solve 0 = -z*w - 8, f + 0*w + 3*w + 1 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 1:56 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 4. Let w = 31 + -21. Let n = 7 - w. Let q(s) = 2*s + 9. Let m(x) = n*q(x) + 7*i(x). Determine m(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14417 = -6*b + 61319. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 20 = -28. Let b(o) = -o**3 + 5*o**2 - 2*o + 1. Let i be b(p). Suppose -i*y + 1107 = -9. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96162.92 to the nearest 100.\nAnswer: -96200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9068.373 millilitres in litres?\nAnswer: 9.068373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(0\/3 - -2). Suppose q = -h + 11, h + q + q = 14. Let w(y) = -y**3 + 5*y**2 + 25*y + 4. Let z be w(h). Solve a - 4*a + z = x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 8*u**2 + 5. Let i be g(-8). What is v in 0 + 0*v + 1\/4*v**2 + v**3 - v**i - 1\/4*v**4 = 0?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2620, 5271, 7920, 10567?\n\"Answer: -u**2 + 2654*u - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 11 - 4)*(-2*p + 90 + 132 - 68) - 3*p + 3 - 3.\nAnswer: -7*p + 308","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16510, 16494, 16478, 16462?\n\"Answer: -16*z + 16526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -32, -0.02, 2\/5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8*z*z\/(z\/((z*z**(-2\/3)*z)\/z))*(z*z\/(z\/(((z*((z\/z**(-1\/11))\/z)\/z)\/z)\/z)))**(-1\/43))**(-12\/5) assuming z is positive.\nAnswer: z**(-53096\/2365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-6))\/((-1)\/2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, x: 2, g: 1, v: 14}. Give prob of picking 2 v and 1 g.\nAnswer: 91\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*4\/((-4)\/(-19)). Let n = 23 - b. Solve n = z, 0 = -3*w - z - 3*z + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) -1 (c) -59 (d) 2.7 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o**2 - 6*o + 3. Let x(n) = 13*n**2 - 13*n + 6. Give 9*f(p) - 4*x(p).\nAnswer: 2*p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 176509502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 81\/(-6) + 2\/(-4). Let m be 4\/l + (-153)\/(-21). Let k = m - 4. Solve -k*g + 4*g = -2, -3*n = -5*g - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 17063*g**3 - g**2 - 6*g - 4. Let m be j(-2). What is m rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l + 4*d = 0, -2*l = 3*d - 2. What is the greatest common factor of 6 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 425672 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.901946 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 5*h + 3, -4*h + 0 = 3*i + 3. Let k be ((-6)\/(-3) - 1)*(6 + i). Solve 0 = -4*q + k*q - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223586926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 10. Calculate the remainder when 33 is divided by h(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 8 = 0, 4*b - 55 = 4*g - 19 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -3*b + 397. Let x = b + -102. Let h be (-3)\/x - 68\/(-64). Is 3 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*d + 10*d + 3*d)*(0 - 4 + 6 + (3 - 1 - 1)*(0 + 0 - 1) + 5 - 3 + 0) as a*d + f and give a.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -304 + 3?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 70*v**2 - 1\/60*v**5 + 0 - 27*v**3 - 1\/8*v**4 - v. What is the first derivative of d(y) wrt y?\nAnswer: -2*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 4, 5, 254 in decreasing order.\nAnswer: 254, 5, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - -0.1. Let x = 15.2 - 15.15. Let h = -4 + 1. Sort x, s, h in descending order.\nAnswer: s, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllww. Give prob of picking 1 l and 1 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1155944 (b) -17 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.58 in 3, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 248\/(-20) + 4\/10. Let r be (-2 + -1)\/((-9)\/l). What is the units digit of (-60)\/(-14) - r\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 312 in -4, -1\/4, 1.139?\nAnswer: 1.139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/13 < -2\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1087.43 + -7.43. Let t = -7124304669 - -7124303589.0000511. Let c = g + t. What is c rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/7 - (-2)\/7. Suppose c*t - 856002 = -12256002. What is t rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 301469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - j**2 + j + 237. Let k be s(0). Let g = 238 - k. Let z(u) = 4*u**2 - 2*u + 1. What is z(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i - 5*s = 28, 3*i + 2*s = -19. Is i > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x + 99. Let y be a(-9). Suppose o = -0*o + y. Calculate the greatest common factor of o and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 42 = -3*k - r, -4*k - 5*r = 0. Put 2, -8, 1, k in decreasing order.\nAnswer: k, 2, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (103 + -29 - 42 - 42) + 2 + 1 + -7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 9:07 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1055 + -1061.524. Round u to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*s - 4 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 4*l + 6*l - 2065*l**3 - 4*l.\nAnswer: -2065*l**3 + 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -7863 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 7308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*76979.\nAnswer: 76979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o + 2*m + 12, -3*o + 16 = -m. Let a(v) = -v**2 + 7*v + 8. Let x be a(8). Put -1, x, o in ascending order.\nAnswer: -1, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/15*3*2. Let a(o) = -o**3 + o**2. Let h(f) = -3*f**3 + 5*f**2 + 1. Give q*a(w) + h(w).\nAnswer: w**3 + w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 0.2. Let w be 6\/(-39) - (-5178)\/1040. Let r = w - 45\/8. What is the third biggest value in r, l, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (95 - (1 - 1)) + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -958*(-4)\/(-6) - (-66)\/99. Let y = j + 1339. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h - 109. What is w(-2)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2712, 10872, 24482, 43542?\n\"Answer: 2725*f**2 - 15*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.043 + 51.043. Let u = 36 - w. Let j = u - -15.0000104. What is j rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207172, 207205, 207260, 207337, 207436?\nAnswer: 207557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u + 0*u + 4*u. Let b(l) be the first derivative of -5*l**2\/2 + 20. Calculate b(k(s)).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/22293, -4248.\nAnswer: -4248, -2, 1\/22293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*i - 115, d - 3*i + 120 = 5*d. Suppose 224*k = 227*k - 99. Calculate the highest common factor of d and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 7*g**2 + g + 3. Let x be v(-6). Suppose 2*f - 22 = 4*b, 3*f - 3*b - x + 12 = 0. Solve f*p - 2 + 8 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**2 + 60*i + 162 = 0.\nAnswer: -27, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 459, 919, 1379, 1839, 2299?\n\"Answer: 460*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/157 + 302\/471. Let l = 1.4 - 1.5. Put l, 1\/3, w, -2\/5 in descending order.\nAnswer: w, 1\/3, l, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7158, -7274, -7460, -7710, -8018?\nAnswer: -8378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 0*s**2 + 0 - 15*s + 0*s**3 + 1\/84*s**4. Let c(l) = 0. Calculate l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -52. Let t be (b\/2)\/(6\/12). Put t, 5, -3 in increasing order.\nAnswer: t, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/5 - 6\/15. Let l(j) = 4*j - 1. Let d be l(k). Suppose d*a + 2*q - 19 = -3*q, -7 = -5*a + 4*q. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6846611*i**3 - 52858*i + 44?\nAnswer: 41079666*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68388666 to the nearest integer?\nAnswer: 8270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 242619 or 242618?\nAnswer: 242619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 59000 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) -0.1 (c) 9 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 155972\/5 or 31193?\nAnswer: 155972\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -s - 1457332, 2*h + 4*s - 728648 = -0*h. Let g = -2587666 - h. Let w be (-4)\/16 + g\/8. What is w rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*c**3 - 64*c**2 - 2*c + 945 with respect to c.\nAnswer: -36*c**2 - 128*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d**2 - 6*d - 6. Let v(j) = -9*j**2 - 11*j - 11. Let z(b) = 6*v(b) - 11*y(b). Let t(f) be the third derivative of f**4\/8 + 2*f**2. What is z(t(m))?\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -482695.1 to the nearest 1000.\nAnswer: -483000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from {z: 4, t: 4, r: 3, k: 4}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 970 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - 61. Suppose h = -4*u + 8*u - 172. Let c(j) = 11*j + 55. Calculate the remainder when u is divided by c(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 times -6\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 7*u**2 - 5*u + 7. Let c be x(8). Let p = c - 16. What is the remainder when 62 is divided by (-140)\/(-8)*18\/p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2. Suppose 2*f - 316 = -2*f. Let r(m) = -27 + 42*m + 8*m + f*m. Let y(o) = 10*o - 2. Let g(n) = 2*r(n) - 27*y(n). Give g(k(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2 (c) 0.056 (d) -3\/10 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 6 = 16. Let m(u) = -u - 8. Let p be m(-11). Suppose p*x - 12 = 0, 0*g = v*g + x - 68. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**3\/3 - 3*d**2 - d + 21. Give f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23\/30 - -1\/10. Let u = -8 + 7.4. Let y = u + 0.4. What is the closest to 0.1 in w, y, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/3)\/((-2)\/222). Let d be 25\/100 + (-1)\/4. Suppose 207*o - 214*o + 2331 = d. Calculate the highest common divisor of w and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16943 + -13310. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128720 divided by 16090.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + u + 159, -3*p - 4*u + 210 + 232 = 0. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 100, 221, 420, 697, 1052, 1485, 1996?\n\"Answer: 39*z**2 + 4*z + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5034 + -5032. Solve 0 = 2*c - f*l, -12*c = -15*c - 5*l - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 - 3*z + 13 + 4*z + 17)*(-z**2 - 6*z**2 + 3*z**2) in the form n*z**4 + k + i*z**3 + f*z + l*z**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-20)*280\/(-14). Solve -3*q + 0*p + p - 3 = 0, v = -2*q + 5*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -9, 0.2, -0.4, -8, 5, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6) + (-6 - (-140)\/21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/3*13\/(-572)*-11*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h - 62. Suppose 670 + 613 = 80*d - 157. What is z(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 773*q + 31230 = 1829*q - 709*q for q.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462*c = -l - 457*c + 257587, -2*l - 2*c = -515174. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 9. Suppose 0 = -y*q + 3*q. Is (-1)\/(1\/(-19) + q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -251? (a) -1 (b) -3 (c) -0.5 (d) -5 (e) 0 (f) 6.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + (sqrt(432)*-3 - sqrt(432)))\/(-4*-2*sqrt(6)) - 6*(1*sqrt(320))\/sqrt(10)*-2)**2.\nAnswer: 33489\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -5. Let r = -2\/9283733 - 284091513459\/343498121. Let u = 827 + r. Is u greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 2*u + 2. Let f(z) = -z**3 - 6*z**2 + 7*z - 2. Let r be f(-7). Let n be h(r). Calculate the greatest common divisor of 18 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -7*h**2\/2 - 6*h - 579. Let i(l) = -104*l - 91. Calculate 6*i(g) - 91*o(g).\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6968968 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(209) + sqrt(209) + sqrt(209))\/(1*sqrt(11)*5))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31758 - 13877 = 976*x - 2691 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 89.13091 litres?\nAnswer: 89130.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**5\/3 + 31292*v**4\/3 - 60837884*v**3\/3 - 1415873468*v**2\/3 = 0. Calculate v.\nAnswer: -23, 0, 3923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2622301*l**3 - 5567404*l wrt l?\nAnswer: 15733806*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -0.3, -78, 4, -3\/4, 4\/7 in descending order.\nAnswer: 4, 3, 4\/7, 0, -0.3, -3\/4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 11:20 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**3 - i**2 + 9*i + 8. Let p(x) = -3*x**3 - x**2 + 7*x + 7. Calculate 2*d(a) - 3*p(a).\nAnswer: a**3 + a**2 - 3*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 15 = 0, 2*z - z + 227 = 5*j. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/10, 5, -1.7?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3036)\/690)\/(22\/30).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 416681502 to the power of 1\/2, to the nearest integer?\nAnswer: 20413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -442*l**4 - 208*l**3 + 1085*l**2 + 238 wrt l?\nAnswer: -10608*l - 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 12:29 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -79*w. Let i(t) = 3*t. Calculate l(i(n)).\nAnswer: -237*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from eeeeeeeeeeele.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from {a: 1, k: 4, p: 9}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*z = 4. Find the second derivative of -m**2 - 10*m**3 + 16*m + m**z - m**3 wrt m.\nAnswer: -66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -327, -486, -647?\nAnswer: -810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44020 = -4*a - 4*o, -a + 10989 = -6*o + 11*o. What is the third derivative of -a - 37*q**3 + 7*q**2 + 11009 + 6*q**2 wrt q?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -343498 or -343523?\nAnswer: -343523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38027 - 17551 = -53*u + 527*u - 7230 for u.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1654913 to the nearest integer?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 81531.\nAnswer: -8153.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2 - 2 + v**2 + 8*v + 4. Let k be l(-7). Is (-2)\/(-1) - (2 + k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28843\/14 + -2059. What is the common denominator of i and 59\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-7 - 0) - -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 g when four letters picked without replacement from grgggggrrrgr.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -31205136?\nAnswer: 31205133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5432\/(-1440) + (-10)\/(-4). Let t = 1\/45 + y. Let n = 2.09 - 0.09. What is the biggest value in n, t, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1399, -1386, -1373?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 3 + v - 4 - 35.\nAnswer: v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/24)\/(1\/(-2))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1268478 divided by -211413.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(468) + -2)*-5 + 5*sqrt(468) + 4)*1)**2.\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -eb28c46 - 2?\nAnswer: -eb28c48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**2 + 2 - 2)*(1 - 1 + 1) - 4*g**2 - 4*g**2 - 2*g**2 - 879*g**2 + 825*g**2 + 847*g**2 to c*g**2 + p + j*g and give c.\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Let b(g) = -g + 2. Let q be b(0). Let i(l) be the first derivative of 0*l + 0*l**2 - q + 2\/3*l**3. Determine i(n(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -44\/3875 (b) 1\/55 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**3 - 3277118 + 2*z**2 + z + z + 3277126 in the form n*z**2 + p*z + o*z**3 + q and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -27 + 13 + (94 - 47)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, z: 4, e: 2, b: 1, m: 4}. What is prob of sequence ezem?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 3532571.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1056)\/(-28) + 4\/14 + 0 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (30\/10)\/((-6)\/(-52)) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75463?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b - 1. Let z(u) = 2*u**2 - 16*u + 8. Let g(q) = -24*o(q) - 3*z(q). Let v(h) = 10*h**2. Determine v(g(s)).\nAnswer: 360*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 103273606 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*0.375.\nAnswer: 0.01875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -6. Let i = 4 - t. Let m = 16 + -12. Solve -m*z - 6 = -i*h + 8, 6 = 3*h - z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -6, 1, -2, 14, -1 in descending order.\nAnswer: 14, 1, -1, -2, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/4 - 3*s**3 - 9*s**2.\nAnswer: -s**2*(s + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 10:42 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 621737680 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21765 - -1675881\/77. What is the common denominator of p and 79\/56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3746375 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: Does 33 divide 93126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6350 + 6346. What is the second biggest value in -2, f, 4, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + j - 1289 = -1307, 12 = -4*m - 2*j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -18\/7, -1\/10, 1\/3, 1.9?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/27 in 141, -1, 0.3, -6, 1\/5, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -65, -3, 3, 208, 243 in descending order.\nAnswer: 243, 208, 4, 3, -3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, x: 9, m: 8}. Give prob of picking 3 x and 1 m.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 200681 - 200667.5983. Let x = i - 13.4. What is x rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*c**2*h + 6*c**2 + 5*c + 1114*h wrt c?\nAnswer: -8*c*h + 12*c + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/13 (b) 0.2 (c) 1\/3 (d) 0.3 (e) -3\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 16200 divided by 200\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 644\/168 + 10\/60. Determine k, given that 8\/3*k**2 + 4\/3*k**5 - r*k**3 + 0*k + 0 + 0*k**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, 0.2, 0.1508, 0 in increasing order.\nAnswer: -8, 0, 0.1508, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 9*l)*(l + 2*l + l) + 2*l**2 + 0*l**2 - 4*l**2 + 6*l**2 - 34*l + 34*l.\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/31 (b) -42 (c) 876\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-15)*(-960)\/64\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138838*p**3 + 29*p**2 - 79*p + 42 wrt p?\nAnswer: -833028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 947385 to the power of 1\/2, to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 0*g**2 - 4*g**2 - 4*g**2. Let q(f) be the third derivative of -f**4\/12 + 17*f**2. Determine b(q(i)).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 3*p. Let b(z) = 34*z**3 + 5*z**2 + 11*z. Give -10*a(c) + 2*b(c).\nAnswer: 68*c**3 - 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 786.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 0. Let g = -1412 + 1411.9. What is the closest to -2 in 3, g, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ashp when four letters picked without replacement from {s: 2, h: 3, a: 1, b: 5, p: 1}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*z**4\/3 - 97*z**3 + 149*z**2\/3 + 10*z = 0.\nAnswer: -2\/13, 0, 3\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 0*h**3 + 7\/4*h**4 - 8*h**2 + 9 + 0*h. Find the second derivative of g(a) wrt a.\nAnswer: 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*q + 67*q = -80 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 - -21) + -5 - -13?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4488175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 17 = z, 0 = 5*w + 4*z - 0 + 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**5 + 2140*m**4 + 380200*m**3 + 22174520*m**2 - 45498220*m + 22941356 = 0.\nAnswer: -179, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1701, 3304, 4831, 6282, 7657, 8956?\nAnswer: 10179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -6 - 4. Solve -2 = 4*d + u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 1. Let y(s) = 12*s + 16 + 59*s**2 - 27*s**2 - 16*s**2 - 28 - 24*s**2. Suppose 8 = -5*v + 68. Determine v*c(x) - y(x).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/7)\/((16\/28)\/1)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**2 + 11*p - 13*p + 12*p to the form x + j*p**2 + z*p and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3489000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 take away -24.11?\nAnswer: -128.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -220 + 346. Let w be ((-240)\/28)\/(12\/x). Let z be (-4)\/18 + (-290)\/w. Solve -8 - 1 = z*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*d = -14, -3*d - 27 = -4*p + 5. Let a(v) = 2*v**2 + 11 - p. Let i(f) = -5*f - 3*f - f + 3*f. What is i(a(j))?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -635 + 635 - 342*w**3 + 974*w**3.\nAnswer: 632*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -3*h - 6. Sort h, 1, 10 in increasing order.\nAnswer: 1, h, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55 - 0) + (-1883 - -1894).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3169*j**2 + 2092*j**2 - 6286*j**2 - 2*j**2 - j**2 + j**2 + (-2*j + 5*j - j)*(j + 0*j - 2*j) - 4*j**2 - j**2 + 3*j**2 - 2*j**2 - j**2 + j**2.\nAnswer: -7371*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-40)\/(-12))\/(-1) - 2)*15. Is y smaller than -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 9*c - 6. Let i = 4 - c. Let w be 0\/(i - 6\/2). Solve w*n = -4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 43 + 4. Let c(b) = 2*b + 13. Let l be c(-6). Differentiate -h*i + 41*i - 6 + l with respect to i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 969 and 52911021?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d2 - -2966?\nAnswer: 2774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 2*y + 12. Suppose -28 + 78 = y*h. Solve h = -t - 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-258)\/30 + 6 + 3 + 676452\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 12. Let x be b(0). Let d be (-8)\/x - 18\/15. Let g = -263\/240 - d. What is the common denominator of g and -67\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -481 + 488. What is the greatest common divisor of 112 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*(sqrt(68) - (sqrt(68) - 1*sqrt(68))))\/((-2*sqrt(400) + sqrt(400) + sqrt(400) + sqrt(400))*1).\nAnswer: -3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306 = -191*a + 159 + 1254 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 14014.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1419, -1395, -1347, -1269, -1155, -999, -795, -537?\n\"Answer: s**3 + 6*s**2 - s - 1425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 304152 and 342171?\nAnswer: 2737368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*l - 1179 - 3*l + 9443 + 3013 - 32*l.\nAnswer: -61*l + 11277","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 503564*f**3 + 3070293*f?\nAnswer: 3021384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 10. Suppose h*l - 5*n = l + 55, 74 = 4*l + 2*n. What is the common denominator of (192\/30)\/((-6)\/l) and -47\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 0*w**2 - 43*w + 51\/5*w**5 + 0*w**4 + 198 - 4\/3*w**3. What is the third derivative of l(i) wrt i?\nAnswer: 1224*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6241 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 6.987?\nAnswer: -1.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in -0.5, 1\/4, 153\/2, -0.15, 2\/29, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1407*a + 5562*a - 50562 - 27071 = 80257 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 15. Suppose 2*q + 25*q = w. Let s(y) = 10*y**3 - 4*y**2 - 2*y + 7. Let k(r) = r**2 - 1. Let m(b) = 6*k(b) + s(b). What is m(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2014 = -3*k - x, 0*k = 5*k - 4*x - 3385. What is the second derivative of q - 673*q**4 - 7*q + k*q**4 - 60*q**5 wrt q?\nAnswer: -1200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1587*w**5 + 132*w**2 - 5*w?\nAnswer: 95220*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 11556 = b. Let p = 1195 - 1152. Suppose -13*g + b = p. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c. Let i be z(-2). Solve 1 + 5\/2*y**4 + 3\/2*y**3 - 3\/2*y - 7\/2*y**i = 0 for y.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((-1 - -1) + 2 + 1400 + -1316) - -11?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409113 is divided by 179?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09 + 10.09. Let y = r + -5. Which is the second smallest value? (a) 1\/10 (b) y (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 560 - 5042\/9. Let m = -89\/4 - -22. Which is the closest to m? (a) -0.1 (b) o (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 95*r - 952. Does 5 divide g(37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.12 + 0.12. Let o = -27 - -30.1. Let a = o - 1.1. Sort -2\/19, a, y in decreasing order.\nAnswer: a, -2\/19, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53267*u = -53282*u + 4*r + 14, 0 = -4*u + 4*r + 5 - 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*u = 13, -4*w + 3*u - 1 = -3*w. Factor 0 + 1\/4*j**w + 0*j.\nAnswer: j**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16290 divided by 181\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*c - 23 - 17*c + 18 - 15*c**2 to n*c + m*c**2 + q and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 502.4 - 502. Sort 0.5, -1.5, 1\/197, n.\nAnswer: -1.5, 1\/197, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + m = 0, -5*m + 6*m = -3*g. Let j = -19 + 16. Which is the third smallest value? (a) j (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 89 = -2*w - 2*w, -17*w = -5*k - 429 - 28 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 117296247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -4, -0.02, -0.08?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 411 - 419 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7535581 is divided by 342526.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) -54 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 2:11 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 4:20 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(704))**2 + (1*sqrt(1331))**2 + (3 + (-1 + sqrt(11) - sqrt(11)) + sqrt(11) - (sqrt(44) + -1)).\nAnswer: 15*sqrt(11) + 2039","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 11029106.8 to the nearest 100000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.071 - 0.073. Let s = -0.202 - f. Which is the nearest to s? (a) 4 (b) -4 (c) 0.5 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 26\/8)\/((-858)\/33). Which is smaller: 8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/3*p - 1\/3*p**3 + 1\/6*p**4 - 1\/6*p**2.\nAnswer: p*(p - 2)*(p - 1)*(p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 422, -1, -9.\nAnswer: -9, -5, -3, -1, 422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -19. Suppose a = c*a - 2. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**4 - 360*m**3 - 365*m**2 = 0. What is m?\nAnswer: -1, 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*u**2 + 3*u**2 + 337*u**3 - 77*u**2 - 32*u**2 wrt u.\nAnswer: 2022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1616 - 191. Is p a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d - 2*v - 1 = 0, 0 = 4*d - 2*v - 16. What is the nearest to 1.2 in 4\/7, d, -0.3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12)\/(-8)*2 - 6 - -712 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c**2 - 2177*c + 599*c + 605*c + 973*c.\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 12*f - 12. Let x be u(11). Let g = -15 - x. What is the lowest common multiple of g and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**3 + 44*c**2 - 34*c + 138. Determine i(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5161183\/78 + 66168. Find the common denominator of j and 79\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*20770128.\nAnswer: -6231038.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*p + 10766 = -272*p + 794*p - 23437 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 25d7?\nAnswer: -25da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4813923 is divided by 1250?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3 - 1 + 19*k - 2 - 18*k. Determine m(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from gbgggbgbgbbbbg?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g\/g**(-6\/11))\/g))\/g)**42\/(((((g*g*g**23)\/g*g)\/g)\/g*g)\/((g*g*g*g**(2\/69))\/g)))**(-4\/27) assuming g is positive.\nAnswer: g**(136256\/20493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306*l = 293*l + 572. Suppose -63*p = -3*y - 59*p + 80, 2*y + 2*p = l. What is the remainder when 32 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 4, 2473, 32 in ascending order.\nAnswer: 2\/9, 4, 32, 2473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 317 + -307. Sort g, 1, -3, 4 in decreasing order.\nAnswer: g, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*p + 48 = -2*z, 3*p = -3. Let b be (z\/(-6) + -4)*-15. Suppose 0 = -3*i - 5*d + 23, -3*i + 41 = -2*i - b*d. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3259, -13016, -29153, -51568, -80159, -114824?\nAnswer: -155461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 + -79. Let z = 0 + 3. Let v = 0.05 + 1.95. Which is the smallest value? (a) v (b) g (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -609, -1103, -1613, -2145, -2705?\nAnswer: -3299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 52647124, 210588490, 473824100, 842353954, 1316178052?\n\"Answer: 52647122*g**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -193, -839, -1941, -3499, -5513, -7983, -10909?\n\"Answer: -228*b**2 + 38*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hss when three letters picked without replacement from {n: 1, h: 2, s: 7}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 316 + 28 = 0. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (sqrt(475) + 2*sqrt(475)*-5 - sqrt(475))) + -4*sqrt(475)*-2 + -6*(sqrt(475) + (sqrt(475) - (sqrt(475) + -5 - sqrt(475))))*1)**2.\nAnswer: -2100*sqrt(19) + 24175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xffxxxxfxxxxxxxx. What is prob of sequence ff?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10\/11))**(1\/15)*(((q*q**(7\/6)*q)\/q*q)\/q)\/(q*q\/(q\/(q**(4\/11)\/q))) assuming q is positive.\nAnswer: q**(115\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -109, -419, -927, -1627, -2513, -3579, -4819?\n\"Answer: h**3 - 105*h**2 - 2*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.24 - -0.04. Let l = -2749\/4389 + 111\/209. Sort 3.5, 1, i, l in ascending order.\nAnswer: i, l, 1, 3.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3))**(-2\/53)\/(s**(-1))**42 assuming s is positive.\nAnswer: s**(6674\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 9.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**5\/70 - w**4\/21 + w**3\/21 - 10*w. Factor i(t).\nAnswer: 2*t*(t - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*j*s**2 + 6096*j + 55*s**4 wrt s.\nAnswer: 32*j*s + 220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1956635738?\nAnswer: 2, 978317869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(208) - (-2*sqrt(78))\/sqrt(6) - (sqrt(13)*1 + -2 + -4))*3.\nAnswer: 18 + 51*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 163891*l**2 + 8*l - 28. Let n be j(-6). What is n rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -162082948?\nAnswer: 162082948.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from ifffiff.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -941*u**7\/7 - 2*u**5\/5 - 67*u**3\/3 + u**2\/2 - 5283. Find the third derivative of n(k) wrt k.\nAnswer: -112920*k**3 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 38*y + 24. What is the units digit of q(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 181609?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.212 - -0.211. Let o = n + -0.099. Is -42 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**2 - 5*r**4 + 5*r**2 - 5*r**4 + 6*r**4 - 2*r**4 + (-2 + 3 + 0)*(-2*r**4 + 2*r**4 - 2*r**4) + 6*r**4 - r**4 + 4*r**4 + 3*r**4 + r**4 - 3*r**4.\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 58 = -4*g, -5*z + 2*g = -10*z + 133. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (10\/(-28)*-7)\/((-4)\/(-2264)) is divided by 109?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 429 - 653. Let p = s + 357. What are the prime factors of p?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 351*j**2 - 3057*j - 931. Determine r(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2 = 3*n + 7, -5*t + 15 = -4*n. Solve -t*j = 7*j - 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/46 - 143\/230. Are r and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9454869761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/((-4)\/(-5100)*-17).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 213 and 29416791?\nAnswer: 29416791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 140\/6 - (-10)\/15. Suppose -2*t - 6 = -a. Suppose u = -0*u + t. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4 - 414*k**3 + 417*k**2 = 0 for k.\nAnswer: -139, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -17*x - 10. Let g(f) = f**3 - 5*f**2 + 5*f - 5. Let q be g(4). Let c be -5 + 9 + q + 2. Let u be w(c). What is u rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3516 less than -3515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 950 + -485. Suppose -4*r - 429 = -x. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.189 - 420.811. Which is smaller: -2\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8376.75831 rounded to the nearest ten?\nAnswer: -8380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 7. Let b = -56 + l. Solve 2*p + b = -0*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -25. Solve 5*k + h - 31 = 3*h, 2*k - h - 13 = s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78112871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 138 = 18. Suppose -m = -4*l + x, 0 = m + 7 - 3. Let p = 7 + -3. Solve -l*z - 5*c - 25 = 0, z + 3*z + 12 = p*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1473 + 2795. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.137 - -0.137. Which is the nearest to -1? (a) -2\/9 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence heyh when four letters picked without replacement from yheehmseehhheesyhh.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753371?\nAnswer: 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2193*k**2. Let z(r) = -106750*r**2. Calculate z(y(o)).\nAnswer: -513387330750*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 528*h. Let f(q) = -26*q**2. Calculate f(j(i)).\nAnswer: -7248384*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 y when three letters picked without replacement from {o: 8, r: 9, y: 2}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, o: 1, x: 1, w: 4, r: 1}. What is prob of sequence wrwx?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1874 - -1879. Solve 0 = 17*u - 19*u + w - 5, 5*u = -p*w + 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**4 + 1 - 1 + (0*x + 3*x - 2*x)*(2*x**3 + 0*x**3 - 4*x**3) + 5*x**4 + 44*x + 4*x**4 - 49*x as q*x + a*x**4 + n + m*x**2 + d*x**3 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/23)*p*p\/p**(-10)*(p\/(p\/p**(-2)))**27 assuming p is positive.\nAnswer: p**(-968\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9885 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**9\/5040 + w**6\/240 + w**4\/3 - 4*w**2. Let x(u) be the second derivative of m(u). Find the second derivative of x(s) wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000066951 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 560784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*w - 3*w + 9101636, -3*h + 7281307 = 4*w. Suppose 0 = -4*i - 139671 - w. What is i rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58932005.\nAnswer: 5, 11, 229, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4188617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -243676599, -487353194, -731029787, -974706378?\n\"Answer: h**2 - 243676598*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxxyyxy. What is prob of picking 2 x and 1 y?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.2 (c) 442 (d) -103378\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y = -20 - 231 - 293 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2222 - 3?\nAnswer: 2215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4681 and -4.10797153.\nAnswer: -4685.10797153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - 1. Let x = -3 - d. Let y(g) = g**3 - 4*g**2 - 6*g + 7. Is y(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2472)\/264 - (-8)\/22\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-8))\/((-105)\/(-20)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 449 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -201*h**6 + 594*h**2?\nAnswer: -24120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 153 - 150?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 + 2*q**2 + 3*q - 4. Determine l(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**6\/120 - 7*g**5\/60 - 13*g**4\/24 - 5*g**3\/2 + 15*g**2. What is the tens digit of y(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 = 0, -4*b = -1738*c + 1737*c + 3. Is -21\/442 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 + 4*b. Let i(t) = 5*t**3 + 3*t**2 - 9*t - 3. Let h(j) = -10*j**3 - 5*j**2 + 18*j + 5. Let l(g) = 3*h(g) + 5*i(g). Give -4*l(v) + 9*s(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304 - 140*n**3 - 134*n**3 - 150*n**3 + 559*n**3 - 134*n**3.\nAnswer: n**3 + 304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1518 divided by -253\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3283\/2 - -49253\/30. Which is the nearest to 2\/7? (a) 2 (b) -0.3 (c) 0.3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**3 - 2*l**2 - 2. Let v(n) = 36*n**3 - 11*n**2 - 11. Let d be (-3 + (4 - 1))\/1. Suppose -3*y + d = -33. Calculate y*r(f) - 2*v(f).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o + o - 3*o + (4*o - 6*o + o)*(0 - 3 + 1) + 3*o - 3*o + 4*o - 5*o + 5*o - 2*o)*(-2*o + o**3 + 2*o) as c*o**4 + u*o**3 + r + h*o**2 + t*o and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -0.3. Let y = -0.5 - i. Let w = -22801 + 68402\/3. Which is the smallest value? (a) y (b) w (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-728)\/378 + (3 - (-249)\/(-81))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 4*j. Let u be l(5). Let w = -48 + 62. Suppose -2*a + w = -u*z, -z - 4*z - 18 = -4*a. Solve 8 - 2 = a*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7241.56 rounded to the nearest one hundred?\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -4, -35, -0.3, -0.84?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v - 8*v - v - 10*v - 4*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 21 = p. Let y = p + 21. Suppose t + 4*t - 4*a - 143 = y, a = -5*t + 133. Solve 5*u + 2 - t = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -10*l**2 - 8*l**2 + 10 - 8*l**2 + 27*l**2 - 335*l + 332*l. What is u(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t - 37. Suppose 7*i = 5*i + 6, 0 = -5*j - 3*i - 26. Let q be b(j). Solve 0 = q*r - 6 + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1\/1737 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -32 - 2*s - 6 + 0*s - 4*s + 3*s. Give c(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 368 and 575.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -58787.56 rounded to the nearest 100?\nAnswer: -58800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136524714.\nAnswer: 2, 3, 53, 373, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 - 11 = -18*s - 37 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1328, 1502, 1664, 1808, 1928?\n\"Answer: -z**3 + 181*z + 1148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + sqrt(147) - sqrt(147) - sqrt(3)) + 5*(0 + sqrt(3) - sqrt(3)) + (sqrt(108) - sqrt(108)) + 0.\nAnswer: -2 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-16)*w)\/(w\/(w*w\/((w\/w**(3\/4))\/w))))**(-28)*(w**(-3)\/(w\/w**12))**(1\/5) assuming w is positive.\nAnswer: w**(1723\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/3))**(-3\/19))**(-8) assuming p is positive.\nAnswer: p**(16\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002221956 to 7 dps.\nAnswer: -0.0000222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1336 + -1336. Let j(q) be the first derivative of b*q**2 + 7\/3*q**3 - 7*q - 9. Find the first derivative of j(h) wrt h.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.9 + -3.9089. Round d to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 856 - 42797\/50. What is the third smallest value in 0.2, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -75 + -1 + (-6 - -6). Let b be 1\/4 - w\/16. Solve -b*c + 3*c - 4 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1 = -2*n + 12, -1 = n + y. Suppose 8*q - 229 - 219 = 0. Let g = -47 + q. Solve -n*s = s + g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*sqrt(108)\/sqrt(4)*4 + ((sqrt(3) + (1 + sqrt(3) - sqrt(3))*6 - -1*sqrt(108))**2 - (sqrt(147) + sqrt(147) + -1 + -4)**2).\nAnswer: -425 + 212*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1134 - 1116. Let f(c) = c - 1. Let b(j) be the third derivative of -j**4\/6 + 2*j**3\/3 - 2*j**2. Give w*f(a) + 4*b(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -6. Suppose -v + x = -18. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 8\/7 (b) -2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzq when three letters picked without replacement from {q: 11, z: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -151253*m**3 + 2*m**2 + 5907173*m wrt m.\nAnswer: -907518*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1 = -4*q. Let g = 81 - 56. What is the remainder when g is divided by -2*(-6)\/q + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, f: 3}. What is prob of picking 2 f?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-40))\/((-9)\/(-15))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2793 - 39083\/14. What is the common denominator of -97\/12 and u?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9047 - 9046.8. Let d = 10 - 6. Which is the closest to -2? (a) g (b) d (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 9. Suppose -1 = m, o = 5*f + 2*m + 1 - 19. Sort f, 0.5, -3 in increasing order.\nAnswer: -3, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/3)\/((-937)\/2811).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((56\/(-100))\/((-2)\/(-10)))\/((-1364)\/10230).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 10 = -3*p, r = 4*p - 2*p - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t. Suppose -3*n - 2*n + 45 = 0. Let v be (-4)\/6 + 60\/n. Let z(g) = -v*g + 4*g + g. Give z(o(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111790 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39454*w - 39202*w + 118852*w - 39600*w.\nAnswer: 596*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**5\/60 - 5*a**4\/8 + 31*a**3\/6 + 150*a**2. Determine d(14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 1:38 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 3:16 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 629, 2986, 8171, 17216, 31153, 51014?\nAnswer: 77831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 6*f**2 - 8*f - 2. Let t be v(4). Put 4, t, -1\/5, -4 in decreasing order.\nAnswer: 4, -1\/5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2463529979.\nAnswer: 31, 79468709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - q - 43. Let v be r(8). Let u = -36 - -57. Solve 5*c + 1 = -z + v, -5*c + 2*z = -u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, 4, -53 in ascending order.\nAnswer: -53, -8, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -705, -1346, -1987, -2628?\n\"Answer: -641*v - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(2\/9)*m**1)**4)**(-26\/7) assuming m is positive.\nAnswer: m**(-2600\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooo. Give prob of sequence oo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6375351, -12750705, -19126059, -25501413, -31876767, -38252121?\nAnswer: -44627475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/6192 and 67\/198144.\nAnswer: 198144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.68 + 0.98. Put 0.2, l, -3, 0.045 in decreasing order.\nAnswer: l, 0.2, 0.045, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05268, 7\/4, 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 601 + 53?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.0872 and 5.2.\nAnswer: -62.85344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.06 + 2. Let n = h + -1.94. Let r(l) = -l**2 - 5*l + 4. Let u be r(-6). What is the nearest to u in 4, -0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00136855864 rounded to 5 dps?\nAnswer: 0.00137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*o + 37*o + 192 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 4:49 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12828729 is divided by 511?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(432)*-3.\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -984, -1399, -1764, -2061, -2272, -2379?\n\"Answer: 3*c**3 + 7*c**2 - 457*c - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 953777740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3)*(-9)\/48. Let r = 758\/3435 - 20\/229. What is the fourth smallest value in 0.5, c, r, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*g = 148 - 6. Suppose 0*t - 2*t + 14 = 0. Let h(u) = u**g - 7*u**2 + t*u**2. Let y(v) = v. Give h(y(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 14*v**2 + 5*v - 5. Let o(s) = 69*s**2 + 24*s - 24. Let q(a) = -24*g(a) + 5*o(a). Let i(n) = 51*n - 51*n - 2*n**2. Calculate q(i(l)).\nAnswer: 36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**2 + 25*b + 29. Calculate v(13).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*d - 0*d. Suppose -2*s + d = 1. Solve -3*x - 1 - s = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202, 406, 610, 814?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by (-13)\/(-5) - (-2)\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29.25 + 56.71. Let t = x + -28. What is t rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -742.\nAnswer: -742.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n - 24. Let i(u) = -u + 8. Let k(c) = -11*i(c) - 4*w(c). Determine k(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027393762 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: Suppose 5*m - 5 = 5*d, 3*m - 112*d + 108*d + 1 = 0. Let x(n) = -2*n**2 + 2*n + 2. Suppose -2*f + 3 = -1. Let a be x(f). Sort m, -7, a in decreasing order.\nAnswer: m, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111307403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5\/2 (b) 8.53 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/12)\/((-1)\/(-2)). Let k = 80.3 + -76. Let g = 1.3 - k. Which is the smallest value? (a) g (b) s (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/1644768 and -51\/39977.\nAnswer: 11513376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*r + 53 - 53)*(-2 - 1 - 2 - 6).\nAnswer: 154*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 82620320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/28548 and 131\/2928?\nAnswer: 114192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhggggphg. What is prob of sequence phg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 175467708 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*x - 60, -s - 39 = -3*s - 3*x. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17351 + -607286\/35. What is the third smallest value in -5, -17, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53062562*i + 7*i**3 + 106125121*i - 53062559*i.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*sqrt(19))*2*-2 + 5*((sqrt(1539) + -3*sqrt(1539))*6)**2.\nAnswer: -8*sqrt(19) + 1108068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 268*b**2 + 16046*b + 2349496.\nAnswer: -2*(b - 92)*(b + 113)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from {r: 2, u: 1, z: 3, q: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + 8 - (1 + 24 - -5).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 14*l + 66. Let j be 1*(-9 + 4) + 2. Let w be i(j). What is the highest common factor of 9 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1298\/12 + -3 + (-51)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 + w**2 + 89*w - 417. Is p(-31) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 10:32 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + -6*(-14)\/6 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 589, 440, 295, 154, 17?\n\"Answer: 2*b**2 - 155*b + 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 42. Suppose -4*u = -2 - p. Solve h + h - u = 5*j, 3*j = -3*h - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*r + 67*r - f - 17 = 0, 4*f = -8*r + 44 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**2 - 3*k + 8. Let q(r) = 7*r**2 + 4*r - 9. Let a = -289 + 294. Calculate a*q(h) + 6*n(h).\nAnswer: -h**2 + 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 457, 907, 1345, 1765, 2161, 2527, 2857?\n\"Answer: -q**3 + 457*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 - 101 - (-21 + -2 + -1 + 1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.1 - 21.458. Let i = s + 0.058. Let v = 5.6 - 6. Sort i, v, 2\/73 in ascending order.\nAnswer: v, i, 2\/73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22704026.\nAnswer: 2, 59, 192407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24202010 to the power of 1\/2, to the nearest integer?\nAnswer: 4920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 + -6. Let w = 96 - d. List the prime factors of 2*w\/20 - (-16514)\/230.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 4*w - 12. Calculate the common denominator of -7\/8 and w\/27 + 146\/252.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 4*a, -d - 4*a + 12 = 0. Suppose -36*c = -32*c + d*j - 260, 2*c - 128 = -j. Calculate the greatest common factor of c and 504.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26 (b) 1\/3 (c) 324\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -14, -2, 8809, 1, -4 in ascending order.\nAnswer: -14, -5, -4, -2, 1, 8809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from jpxdxjxpppxicpiji?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 7*m**2 + 4*m + 1. Let n be c(-4). Suppose 0 = 2*x - 3*u + 7 + n, 0 = x - 2*u + 20. Let l = x - -28. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 488*t - 5389. What is d(253)?\nAnswer: -835","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) + -1 + (sqrt(75) + -3 + sqrt(75))**2 + (sqrt(18)\/sqrt(3)*6)\/(sqrt(288)*1).\nAnswer: -99*sqrt(3)\/2 + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n**2 - 23*n - 12. Let t(g) = 3*g**2 + 8*g + 4. What is 11*t(l) + 4*v(l)?\nAnswer: -3*l**2 - 4*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-97)\/(-10) + -10 - ((-1836)\/120 + 13). Determine o so that -16\/3*o + 0 + 4\/3*o**s = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - b - 4*b + (-4 + 1 + 1)*(0*b - 3*b + 5*b))*(13*b**3 - 3*b**3 - 30*b**3).\nAnswer: 100*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*f**4 - 23*f**3 - f**2 + 574*f?\nAnswer: 228*f**2 - 138*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -2, 1, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 52 = -46. Let w = g + -70. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10445800 and 65250.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5536 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 155*z - 841. Calculate the least common multiple of n(7) and 122.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-14)\/r*r**(-15) assuming r is positive.\nAnswer: r**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/7, -1, -12687447?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114482237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13625631, -13625625, -13625615, -13625601?\nAnswer: -13625583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221084 and 503257.\nAnswer: 2909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -27) + (-42 - -11)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 177.98 - 173. Let w = 5 - x. Let n = w - 0.02. Put -1\/4, -0.3, n in decreasing order.\nAnswer: n, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 7*a + 12. Let u be (8\/(-3))\/(40\/(-60)). Suppose 2*z - 4 = 2*v - 8, u*v - 4 = 5*z. What is the remainder when 31 is divided by f(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 988199 is divided by 1406.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - -11110111100100010100000011?\nAnswer: 11110111100100010011111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + r**2 - 4*r**2 + 3*r**2 + 5*r**5.\nAnswer: 5*r**3*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*j**3 - 346 + 346 + 274*j**3 - 59*j**3.\nAnswer: 455*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7970 is divided by 647.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 5*x - 6 = 0, -36 = 4*n - 12*n + 2*x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 902618 - 1272918. Round v to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m = -5*h, 4*m + 3*h + 52 = 0. Let l = -35 - -24. Which is smaller: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102)*-3)\/(sqrt(6)*2*-6).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 25*t**2 + 3*t + 3. Let x(p) = -103*p**2 - 12*p - 13. Calculate 9*v(k) + 2*x(k).\nAnswer: 19*k**2 + 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4466*o**6 - 10644*o**4 + 67822*o**2 + 694*o.\nAnswer: 535920*o**3 - 255456*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.047*-6203.\nAnswer: 291.541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**6\/30 + 19*a**4\/12 - 13*a. Find the third derivative of d(f) wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/3 + -6 - -12. Calculate the highest common factor of a and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 + 4*q - 8*q - q**2 - 2*q**2 as f*q**2 + z + k*q and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -88, -97, -132, -205, -328, -513, -772, -1117?\n\"Answer: -2*r**3 - r**2 + 8*r - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 0.4, 1\/2, -0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 16*r + 18. Let m be v(-15). Suppose 5*b + 301 = 4*j - 114, 315 = m*j - 5*b. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2604768*a**4 + 1670162*a wrt a?\nAnswer: 31257216*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45224619 is divided by 45224619?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/45)\/(12584\/1452)?\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c. Let p(y) = -y - 1. Let i(h) = -15*h - 10. Let s(w) = -i(w) + 10*p(w). What is m(s(a))?\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23905563 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 434*o**2 + 6*o - 11. Let m(l) = -2168*l**2 - 32*l + 56. Calculate -3*m(n) - 16*s(n).\nAnswer: -440*n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 155, 207, 261?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 1. Let s be w\/(1\/6*3). What is the units digit of s\/(-6)*(-10 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five halves of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7958185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3669 + 3673. Let z(r) be the second derivative of 11\/6*r**u + 0 + 0*r**3 + 16*r - 13\/20*r**5 + 0*r**2. Find the third derivative of z(i) wrt i.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 5943700.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**3 + 9*w + 11. Let r(t) = -6*t**3 - 4*t**2 - 31*t + 14. Let k(z) = -z**3 - z**2 - 9*z + 2. Let m(j) = 4*k(j) - r(j). Calculate 7*m(g) + 4*v(g).\nAnswer: -2*g**3 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.27 + -0.03. Let m = 0.0225 - 0.1225. Let x be ((-22)\/(-33))\/((-4)\/(-6)). What is the closest to x in j, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffssfffsssf. Give prob of sequence sffs.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/60*5)\/((-2)\/18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143840 and 7064?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-33)*z*z*z**(-7\/3)*(z**(-1\/19)\/z*z)\/(z\/(((z\/(z*z*z**(23\/6)))\/z)\/z)) assuming z is positive.\nAnswer: z**(-4699\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5553189619 + -2.\nAnswer: -1.4446810381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106250889 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 11222121020?\nAnswer: 11222121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4 + 10*u - 5 + u**2 - 14 + 2. Suppose 2*w + 3*w + 60 = 0. List the prime factors of n(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 728.2904 decades to centuries.\nAnswer: 72.82904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/20038)\/((-23418)\/503487).\nAnswer: 2\/233","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2649 <= 2648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340212678.\nAnswer: 2, 3, 13, 1889, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1194390 divided by 5770.\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -23*k**3 + k**2 + k - 1. Let g be j(-1). Let u = -19 + g. Solve u*t = 3*z, 0 = t - 0*t - 3*z - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let f(u) = -7*u**2 - 5*u - 5. Let x(k) = 24*k**2 + 18*k + 18. Let m(s) = 18*f(s) + 5*x(s). Give m(h(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364977924.\nAnswer: 2, 3, 659, 46153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1088 + -1089. Which is the nearest to d? (a) -5\/6 (b) -33.8 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 5*c - 113826, -5*i = -2*i + 11*c - 113844. What is the ten thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -42. Let g = -4.8 + f. Do -3\/7 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63\/22 - -48\/11. Let u(p) be the first derivative of 3\/2*p**4 + 0*p**3 + 0*p + 6 - q*p**2. Find the second derivative of u(g) wrt g.\nAnswer: 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**4\/4 + 3*w**3 + w**2 - 13*w + 58. Let z be 3*(-4)\/(8\/(-6)). Let y be o(z). Solve y = -0*j - j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**4 + 4950*s**3 - 4950*s**3 - 2 + 5*s to the form p*s + u*s**3 + g + w*s**4 + m*s**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 - 2*t**2 - 4*t. Let c(x) = -x**2 - x. Suppose 169*j + 1020 = 163*j. Let r = j - -171. Determine r*c(d) - h(d).\nAnswer: 2*d**3 + d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -4, -5, 28 in increasing order.\nAnswer: -12, -5, -4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1373.996942 + 1374. Round s to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 6 - (-3 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12.1 times -0.2\nAnswer: 2.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4)\/((-2)\/20). Suppose -3*v + 37 = 4*m, 0 = -0*m - o*m - 5*v + 45. Solve m = -2*n + 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, r: 5}. What is prob of picking 1 r and 2 p?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21656627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, m: 2, n: 1, d: 4}. Give prob of sequence nttd.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 7922.\nAnswer: 1\/3961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-12))\/(2\/8). Let l be (-2)\/(-10) + 90\/50. What is the units digit of m*3\/(-18)*l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*l + 158*l = -5*r - 17, -l - 2*r = 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times 9.10615?\nAnswer: -10.016765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1030155 is divided by 632.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-77) + (3800\/(-10450) - (-2)\/(-11))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5818?\nAnswer: 2, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjjyyy. What is prob of picking 2 y and 2 j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 15. Let b = g + -5. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 71077.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000011 (base 2) in base 11?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 3. Let p be l(5). Suppose 20 = 5*v + h, -p + 3 = -h. Solve 4*t - f + 9 - 32 = 0, v*t = 2*f + 21 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 1 + 3. Suppose -5*m - 4*s + 13 + 36 = 0, -5*s + 5 = 0. Let o = m + w. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -13\/6 (b) -667 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 13*o**2 + 16*o - 18. Let u be (16\/10)\/(8\/60). Is 5 a factor of f(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25898, -25572, -24940, -23930, -22470, -20488?\nAnswer: -17912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-2)\/6)\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.064 + -0.354. Let g = 0.39 + s. What is the nearest to g in 0, 3, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/11 - ((-13013)\/605 + 22).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p - 4*p + 2*p)*(4*p**3 + 4*p**3 - 5*p**3) + 0*p**4 - 2*p**4 + p**4)*(1 - 1 - 2).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31390361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**3 + 0*x**3 + 4*x**3)*(3*x**2 - 5*x**2 + 3*x**2) - 2*x**5 + x**5 + 2*x**5.\nAnswer: -x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 10 = -3*z + 2*k, -2*z - 3*k = -15. Calculate the greatest common factor of 30 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**5\/20 + b**4\/12 + b**3\/6 + 42*b**2 + 2*b. Is 21 a factor of z(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/(-8) + (-2)\/(-8). Suppose -10 = -m*a + 2*a + 3*q, 5*a - q - 10 = 0. Factor -y**3 + 4*y + 4*y**3 + a*y - 9*y.\nAnswer: 3*y*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7059450*x - 28237796. What is k(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -21*(-4 + (-156)\/(-42)). Let v be ((-3)\/p)\/((-2)\/16). Solve v*w = 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3. Let f(t) = -t - 13. Let y(s) = 3*s + 15. Let w(l) = 7*l + 32. Let o(z) = 2*w(z) - 5*y(z). Let c be o(-9). Calculate c*f(v) - 9*r(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 14.9.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36\/7 - 2\/7*m**2 + 34\/7*m = 0.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11878323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1417024085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/9*-3*5. Find the second derivative of -b*g + g + 0*g**5 - 2*g**5 wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2\/3 - 18380*h\/3 - 16891220\/3.\nAnswer: -5*(h + 1838)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4781 divided by -7.\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c**4 + 41*c**3 - 41*c**3 - 61 + 6 - 22*c**2 wrt c.\nAnswer: -12*c**3 - 44*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**9\/24 - f**7\/210 - 4*f**5\/15 + 37*f**2. What is the third derivative of h(s) wrt s?\nAnswer: 2520*s**3 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 10:47 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(13) + -3 - ((-2*sqrt(13))**2 + -3).\nAnswer: -52 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccc. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1204 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1297 by -2.\nAnswer: 1297\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93863711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155228*m + 155232*m - 81 = b, -2*b - 78 = -4*m for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13843*-1.1.\nAnswer: -15227.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 5*p + 4*p + 2*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*u + 13 = -32. Which is the closest to -0.2? (a) u (b) -0.1 (c) -0.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4908442, 9816884, 14725326, 19633768, 24542210?\nAnswer: 29450652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302748 is divided by 37840?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 5. Let k be b\/2 + 3\/(-6). Solve 2*l**2 - l - l**2 + k*l = 0 for l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqx when three letters picked without replacement from {l: 5, f: 1, x: 9, u: 2, q: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d - 11. Let x be q(-5). Suppose -x*b = -119 - 693. Does 22 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.131 + -2.519. Round k to 1 dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1039236 by 12.\nAnswer: 86603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 8*i**3 - 19*i**2\/2 - 2. What is the second derivative of r(m) wrt m?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 18*b - 4*b - 6*b - 4*b. Let c(k) be the second derivative of k**7\/840 + 3*k**4\/4 - 4*k. Let r(d) be the third derivative of c(d). What is r(g(w))?\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2257 - -2301. Calculate the remainder when c is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 6, r: 8, s: 3}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2812 + -1885. Is d a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 1, e: 2, p: 2, b: 1, v: 2}. Give prob of sequence vr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -5*m - 3, -4*m + 126 - 124 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 7 (b) 1\/4 (c) -0.135 (d) 0 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 8, 6, 12, 32, 72, 138?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1362 - 1362 + 22*v**2 + 180*v - 13*v**2 - 11*v**2.\nAnswer: -2*v*(v - 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306525 is divided by 2026.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3 + (sqrt(243) - sqrt(243)*2) - sqrt(243)))**2 + (sqrt(243) - (1*-2*sqrt(243))**2)*-4.\nAnswer: -36*sqrt(3) + 4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*-11*(-735)\/1540.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -1\/9*u**3 + 0 + 0*u + 1\/90*u**5 + 0*u**4 + 3*u**2. Factor g(d).\nAnswer: 2*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -965.0573 or -0.1?\nAnswer: -965.0573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**5 - 417*y**4 - 2028*y**3 - 2412*y**2 = 0. Calculate y.\nAnswer: -134, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 12002021?\nAnswer: -12002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-2)\/a))**(-19\/5))**(-7)\/(a*a\/(a**(-7)\/a)*(a**(-2\/23)\/a)\/a)**(2\/131) assuming a is positive.\nAnswer: a**(1601096\/15065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/2 and 2*(6 + (-151)\/20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**2\/2 + 1. Let h(l) = -92934*l - 92766*l + 185904*l. Determine h(k(s)).\nAnswer: 204*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -573?\nAnswer: -573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, t: 7, y: 4}. Give prob of picking 4 t.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.135 - 0.0621. What is a rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 + -79. Let x(j) = -9*j**3 - 28*j**2 - 51*j - 65. Let m(l) = 5*l**3 + 14*l**2 + 26*l + 33. Let q(n) = d*m(n) - 6*x(n). Is q(15) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 > 448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 o when four letters picked without replacement from zgkkkyzkogzjkgy?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 140 = -0*y. Is y a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289674 is divided by 144150.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1195269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 - -0.04. Let x be 6 + (-66)\/10 - (-2 + 2). Sort k, -4, x in descending order.\nAnswer: k, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -137*s*y + 316*s with respect to y.\nAnswer: -137*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -690*s**4 + 11*s**2 - 32*s - 66. Let j(z) = -138*z**4 + 2*z**2 - 6*z - 13. Let n(f) = 2*d(f) - 11*j(f). Find the second derivative of n(q) wrt q.\nAnswer: 1656*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62888 is divided by 10470?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204 by -5.\nAnswer: 204\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1778780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**2\/2 - v + 1. Let l = 3 + 3. Let n be a(l). Solve -b + 7 = c, n*b = 3*b - c + 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -811 - 497 = -12*y. List the prime factors of y.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -31*d - 51. Let s(w) = -67*w - 103. What is -13*f(y) + 6*s(y)?\nAnswer: y + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**3\/3 + f**2 - 3. Let a be o(-3). What is the third derivative of v**a + 2*v**2 - 5*v**2 + 2*v**2 - v**2 wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 61558598. Let p(k) = 17*k. Give u(p(c)).\nAnswer: 17*c - 61558598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10313*a - 2448 = 10449*a for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -15*40400\/(-7 + 6). Round j to the nearest 10000.\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55227 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13254980 and 775.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 5*c**2 - 5*c + 15. Let o be q(-6). Solve -4*z + 12 = -4*u, 3*z - z - 5*u = o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(90) - (sqrt(90)*-1 - sqrt(90)) - sqrt(90)))\/((-2*sqrt(63))\/sqrt(7)))\/((3*sqrt(15)*-4)\/sqrt(3)*6).\nAnswer: sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14876778.835 rounded to the nearest one hundred?\nAnswer: -14876800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/9 + 53*q\/9 + 110\/9 = 0. Calculate q.\nAnswer: -2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**14*s**(15\/2) assuming s is positive.\nAnswer: s**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -147 - -177. What is the second biggest value in -0.2, m, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2\/15 (c) 2\/197 (d) -2\/9 (e) 81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -314 + 440. What is the greatest common divisor of b and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -3 - (-6 - (-3 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -1\/15 (b) -4 (c) 3\/7 (d) 418\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-14) + 2\/7. Suppose 0*f = -w*f + 14. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((4 - 3) + 0)\/(-9) + 1025346\/189?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59\/10 + 231\/40. Let d = 5 + -4. What is the fourth smallest value in a, -0.1, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 588572, 588648, 588722, 588794, 588864?\nAnswer: 588932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 4:01 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 15 - 3 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9*q**4 + 11*q**3 + 39*q**2 - 39*q + 18. Let j(m) = -94 + m**2 + 48 + 48 + m. Let f(o) = g(o) - 5*j(o). Let f(b) = 0. Calculate b.\nAnswer: -2, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 2128887312?\nAnswer: -2128887309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by -1029495.\nAnswer: 10\/205899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {j: 8, s: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1188 and 53\/260172?\nAnswer: 260172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 9*u**2 - 12*u - 8. Let b be z(7). What is the third derivative of 4*h - 48*h**6 - 10*h**2 + 160*h**6 - 35*h**b wrt h?\nAnswer: 9240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1565395 rounded to the nearest one thousand?\nAnswer: 1565000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2053 and -64.\nAnswer: 1989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z**4 + 12*z**2 + 2*z**3 - 6*z**2 + 10*z**4 + 2 in the form a*z + c*z**3 + v*z**2 + b*z**4 + t and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 2, j: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*y - 3*p + 27, 2*p + 0*p - 16 = -22*y + 26*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2\/5 (b) -0.0186 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 - 2.6. Let z = 0.87 + m. Let f = -0.16 - z. What is f rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4 - 0. Let s(c) = -26*c + 1. Is s(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 762a3 (base 11) in base 4?\nAnswer: 123003230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 86667 + -40?\nAnswer: 86627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5\/15 + 2*k**4\/15 - 16*k**3\/15 - 8*k**2\/5.\nAnswer: 2*k**2*(k - 3)*(k + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3. Let t = 26.77 - 27. Let r = t - 0.07. What is the second biggest value in r, j, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10502088 is divided by 1312760.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 194\/2871?\nAnswer: 194\/2871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (24 - 64) - (2 - 6 - (2 - -94))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 0 + 7\/60*r**5 + 0*r**4 - 22*r**2 - 1\/2*r**3 + 0*r. Is 15 a factor of i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 0 = 28. Let l(v) = 5*v**3 + 3*v - 3. Let z(r) = -6*r**3 - 4*r + 4. Let a(g) = k*l(g) - 3*z(g). Factor a(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*l + 25 - 105. Suppose l*p + 121 = -4*o, -3 - 31 = o + 2*p. Which is the second smallest value? (a) -2 (b) -0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p = 3*p. Suppose p = 4*k + n - 15, 5*k - 40 = -0*n + 3*n. Solve 0 = 5*l - 4*z + 19, -3*l - 11 = -l - k*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102.5 + 103. Which is the nearest to -2? (a) 0.2 (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 2.837051.\nAnswer: 0.837051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 18*h + 235. Let j be l(-13). Let r be (48\/(-22) - -3) + -1. What is the closest to j in -2\/15, -7, r?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347871 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8638 - -1.8671942. What is f rounded to five decimal places?\nAnswer: 0.00339","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -78, -528, -1722, -4032, -7830?\n\"Answer: -62*j**3 - 16*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:06 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20794732 and -60908?\nAnswer: 20855640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - -1022?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 815 and 8081?\nAnswer: 6586015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228879?\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1021, 0.062, -3 in increasing order.\nAnswer: -3, 0.062, 1021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n - 1. Let l(i) = -2*i - 1. Give -3*l(h) + 4*w(h).\nAnswer: -6*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -70.24\nAnswer: -210.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1935, 1936, 1935, 1932, 1927?\nAnswer: 1920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -5006?\nAnswer: -4775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 14. Suppose 2*j - 16 = -2*j. Solve -i*l = -0 - j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkukkkkkkkkkkk. What is prob of picking 1 u and 2 k?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 3 + 3)*(m**2 + m - m + 6*m**3).\nAnswer: 18*m**5 + 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 200\/3*a**3 - 5\/42*a**7 - 2 + 0*a**5 - a - 5\/6*a**6 + 50\/3*a**4 + 120*a**2. Find w such that q(w) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1. Let s(t) = 6*t**2 - 22. Let g(z) = -2*s(z) - 44*u(z). Let b(d) = 3*d**2. What is g(b(n))?\nAnswer: -108*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87357879 is divided by 139.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -16*0.300597\nAnswer: -4.809552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-75)\/(-24) + (-609)\/174. Which is smaller: p or 7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*y + 2*y = -50, -s + 10 = -2*y. Suppose -d = 3*k - s, 5*d = d + 2*k - 2. What is the highest common divisor of 4 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**6\/60 + b**5\/20 - b**4\/24 - 21*b**2. Let f(o) = o**3 + 9*o**2 + 8*o + 2. Let j be f(-8). Give u(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28888 and 32476.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -0*s - 24. Suppose 7*r - 4*z + 257 = 4*r, 0 = s*r + z + 247. Are -251\/3 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 198 - 194. Solve -2*y - 1 - 5 = 5*d, s*y = -2*d - 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 88, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 537382 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeaeankegpnegnpeage. Give prob of picking 2 a and 1 n.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -500 in 232, 75, 0.1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1104 - 991 = -5*h. Suppose -5*x = 5*y - 201 - h, 492 = 4*x + 3*y. Suppose 0 = 6*l - l - x. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/123 in 0.1, -1\/3, -19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4590161 less than 25?\nAnswer: 4590186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 2. Let u be t(4). What is the second derivative of u*d**3 + 0*d - d**3 + 2*d + d wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*g**3*v - 66206*g**2*v - 209681*v wrt g?\nAnswer: -9*g**2*v - 132412*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 5*h**2 + 7*h - 8. Let l be w(6). Suppose -2*t - 3*t + 160 = 0. What is the remainder when t is divided by 84\/8 + l\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c - 3*c**4 + 5*c**2 - 2*c**2 - 3*c**3 - 10*c - 4*c**2 + 2 to g*c**3 + n*c**4 + p*c + x + m*c**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.1007313 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.5. Let p be (1\/(-2))\/(3\/(-4)). Let i = -121 - -125. Which is the biggest value? (a) p (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1949259 divided by 3?\nAnswer: 649753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: c73 (base 16) to base 6\nAnswer: 22431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 24*g + 12. Calculate k(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13126+0.043\nAnswer: 13126.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (5\/(15\/2))\/((-3)\/(-54)) and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - z**2 - 3*z**2. Let q(p) = 7735*p**2 - 6*p - 7733*p**2 + 6*p. Calculate q(i(x)).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1645266 and 12642?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2564, -3021, -3478, -3935?\nAnswer: -4392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**2*v**3 - 210813839*f**2*v**2 - 559041*f*v**3 + 10*v**3 + v**2 wrt v?\nAnswer: 12*f**2 - 3354246*f + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 96 + s**3 - 43 - 39 + (-s**2 + 3 - 3)*(-s + 0*s - s) + (s**2 - 2*s**2 - 2*s**2)*(0 + 0 - s).\nAnswer: 6*s**3 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66127408681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 17*b**2 - 7*b**2 - 8*b**2 - 5*b**2 in the form y + i*b + h*b**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqnttnnt. Give prob of picking 1 t and 1 n.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 23, 234, 4 in ascending order.\nAnswer: -4, 4, 23, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + sqrt(80)*2)*5*-4)**2.\nAnswer: 288000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27ce (base 15) in base 6?\nAnswer: -103235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 32*g**2 - 6*g + 1. Let x(v) = 33*v**2 - 7*v + 1. Let s(p) = -5*b(p) + 4*x(p). Give s(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.32 + 0.08. Suppose 4*s - 8 = -0*h - 4*h, -h - 2*s = 0. Sort h, 3\/7, v in ascending order.\nAnswer: v, 3\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = i - 21, 34*t + 11 = 3*i + 33*t. Suppose -i*u = -4*n + 142, 0*n = n - 4*u - 41. Solve n = -6*r + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 1. Let v = 53 - -7. Suppose -13*q = -q - v. Let n(i) = -7*i**2 + 5. Give q*z(d) + n(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5070714 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 48\/45)*-3*17\/34?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.47 - 0.522. Let x = -5 - p. Let r = x - -0.00799861. Round r to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 3 + -3 - -6 - 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 7*d - 3. Let t be s(6). Suppose c - 20 = -t*c. Suppose -q - 2 = -4*v, -c*v = -3*q - 0*q + 1. Solve q*n - 13 + 3 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6067618 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) 0.006 (c) -26 (d) 5 (e) -3 (f) -0.1 (g) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 1b8 (base 13) in base 12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 2.549\nAnswer: -2.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 385 and 560?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -61 and -1894 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -24. What is the third smallest value in 0.3, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/9 (b) -4 (c) -0.1775781\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3513 + 4?\nAnswer: -350c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*s - s**3 - 52*s - 62*s + 1 + 0*s - 17*s**3 wrt s?\nAnswer: -108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*-0.2.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 5) in base 15?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 563413484 to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7732.4 + -7732. Put f, -4, -4196 in ascending order.\nAnswer: -4196, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41.7 - 36.69. Let w = l - 0.01. Suppose 0 = -5*m + 3*y + 20, 4*m - 2*y - 16 = -y. Which is the biggest value? (a) -0.4 (b) m (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 3*l. Let i be s(3). Suppose 3*f = -i*f + 6. Solve 3*k + 2*b - 13 = 0, f*k - 4*b - b + 23 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -926228*v - 1188 = -926282*v for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4060 >= 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1478 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -78 - 46 + 159 - z in the form a + l*z and give a.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 1 + 5)*(-w**3 - 2*w**2 + 2*w**2) to the form c + h*w + v*w**2 + g*w**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 26 = 4*f, 4*k - 6*k = 5*f - 29. Suppose n + 3*l - 3 = 9, 2*n = -k*l + 8. Solve -1 + n = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 66465?\nAnswer: 66465.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*54\/10*1. What is the greatest common factor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 56*h**2 - 2*h + 2. Let r be g(1). Let l = -58 + r. Calculate the least common multiple of 17 - (1 - (3 + (l - 1))) and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -5. Suppose z = 4*f - 0 - 4. Let t be (-1)\/(f*1\/(-5)). Solve y + x = -3, 4*x = -5*y - 16 + t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 1:50 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, 30, 559, 1574, 3237, 5710, 9155, 13734?\nAnswer: 19609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - 0.78. Let m = z - 7.92. Let o = m + 8.0000138. What is o rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9519046 to the nearest integer?\nAnswer: 3085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7 = t + 19, 5*t - 4*o = -22. Is 0 + (-41960)\/t - 345\/(-207) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*4)**2*-4.\nAnswer: -83200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5 - z**4 - 44*z**3 - 100*z**2 + 16*z + 128 = 0 for z.\nAnswer: -4, -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 129*c**3*y - 65202*c**3 + 2*c**2*y + c**2 - c*y + 7655*c + 215*y - 2 wrt c?\nAnswer: 774*y - 391212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8484 (base 15) in base 6?\nAnswer: 333424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1058+-3727461\nAnswer: -3728519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345364 is divided by 167702?\nAnswer: 9960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 + 52*v - 28. Let t be k(11). Let n = t + -522. Let u be (140\/(-16))\/(2\/(-8)). Calculate the highest common factor of n and u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/112 and 57\/10.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*p + p + 1120 = 0, -5*p - 584 = -i. What are the prime factors of i?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 20*n**2 - 2*n - 32. Calculate f(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 g, and 2 o when four letters picked without replacement from oogcohvgvecgcghv?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22696117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 267, -2, 3, -4 in decreasing order.\nAnswer: 267, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 34. Let l(b) be the second derivative of 0*b**3 + 3*b + 1\/25*b**j + 0*b**2 - 3\/50*b**5 - 1\/105*b**7 + 1\/30*b**4 + 0. Factor l(g).\nAnswer: -2*g**2*(g - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 68*d**2 + 133*d - 73. Let w be y(66). Suppose -3*o + 15 = -18. Let z = 7 - o. Put z, 0, w in ascending order.\nAnswer: w, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 35 = -2*h, -1 = 5*v - 16. Let i = 18 - h. Does 21 divide (-774)\/(-14) + 2\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74651051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -28*i**3 - i**2 + i + 1. Give u(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o + 4*o + 5*p + 30, 0 = 2*o - 4*p - 22. Let d be o - -1 - 728\/(-8). Suppose i = 4*i - d. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 168\/64)\/((-507)\/(-3686)). Let o = 27\/338 + h. Calculate the common denominator of 29\/18 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9426 divided by 100.\nAnswer: 4713\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 - z - 8. Let g = 11 - 8. Let i(x) = -g - 2 + 2 + x**2. Let u(a) = 3*b(a) - 8*i(a). Find the second derivative of u(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 6\/11, 26.8 in descending order.\nAnswer: 26.8, 6\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3 - 820*x**2 + 10416*x = 0. Calculate x.\nAnswer: -217, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74257\/247 - 1410\/19. Let v = p - -375. Which is the closest to v? (a) -5 (b) -0.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27528636?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -10 + (12 - (14 + -22)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13166 (base 8) in base 14?\nAnswer: 214a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + (5*(sqrt(1377) + 2) + sqrt(1377) - sqrt(1377) - sqrt(1377)))**2*3.\nAnswer: 4320*sqrt(17) + 132792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -69, -127, -219, -351?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.3 + -2.8. What is the nearest to -3 in j, 1\/2, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6570)\/292)\/((-9)\/(-12))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 5778966*x + 5778971*x + 56, -4*x + 28 = 2*t - 2*x for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 285, 448, 611, 774?\nAnswer: 937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6175 - 6160 + 1633*b**2 + 12339 to a*b**2 + k*b + d and give a.\nAnswer: 1633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 710*-0.82.\nAnswer: -582.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -438 - 1?\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5808) - (sqrt(5808) - -2*sqrt(5808)))\/sqrt(2))\/((sqrt(8) - sqrt(16)\/sqrt(2))*-3 + sqrt(24)\/sqrt(3)*-1).\nAnswer: 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m - 3*m + 4*m)*(7*m - 2*m + m + (4*m - m - 5*m)*(-1 + 5 - 5)) to the form z*m**2 + i*m + c and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27152 + -11129. What is the thousands digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3516169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnnnpnpnnppnppnnnnn. Give prob of picking 3 p.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44650 - -35139558\/787. Are -1 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 61449980 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 - y**2 + 5*y + 9. Let a be x(5). Let o = 654 + a. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 44 = 11. Calculate the highest common factor of 121 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 3*g - 2*g)*(3 + 3*g - 3) + (-7*g - 11*g + 7*g)*(2 - 2 + g) + g + g**2 - g + 62*g**2 + 68*g**2 - 70*g**2 in the form n*g + v*g**2 + k and give v.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 481, 480, 479, 478, 477, 476?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 674*k + 12134. Give y(19).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**5\/3 - 451789*q**4 + 204114204091*q**3 - 92218593261581045*q**2\/3 + 184429838509400806*q = 0?\nAnswer: 0, 6, 451787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 322, 471, 618?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420)*1 + sqrt(420))\/sqrt(10)*-1)\/(3*sqrt(24)\/sqrt(4)*4).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r - 6. Suppose 0 = k + 8 + 10. Let g = k + 12. Is h(g) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/9)*(t*((((t*t**(2\/13)\/t)\/t)\/t)\/t)\/t)\/t*t**(-6\/5)\/(t*(t\/t**(-1\/3))\/t*t*t)*(t**2\/t)**(1\/36)*t**(-4)\/t**(-8) assuming t is positive.\nAnswer: t**(-3481\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1119817906?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**5 - 49752*f**4 - 298356*f**3 + 149264*f**2 + 994608*f + 596736 = 0. What is f?\nAnswer: -12432, -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*y - 2*a, 23*y + 3*a + 8 = 22*y. Suppose -3*s + y*s - 4860 = 0. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -10) + (-34 - -23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 277 + -180. Let u = -73.3752 + -23.5418. Let b = u + a. Round b to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 9*b + 74, 4992*o + 3*b = 4987*o + 62 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 14*n**2 + 16*n + 32. Let z be k(-13). Let x = -4487\/13 - z. Let m = -0.43 + 0.03. Which is the nearest to 0.1? (a) x (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2901262 and 7742.\nAnswer: 1604397886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -18732*k + 674353. What is p(36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**3 - 22094643*q**2 - 40681048871457*q + 203405796723735 = 0.\nAnswer: -3682443, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39333361000 rounded to the nearest 1000000?\nAnswer: 39333000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, z: 1, y: 2}. What is prob of sequence sys?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13562 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = q - 14, 4*q + 2*z + 0*z - 62 = 0. Let a = q - 8. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5035 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 0.05.\nAnswer: -0.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -2. Suppose -2*h - b = -3*h. Suppose -2*l = -2*x + 2, -23 = 2*l - 6*l - 5*x. Solve 11 = -d + l*t, 2*d - 5*d = -2*t + h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31669 is divided by 811.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -139957 divided by 809?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1824?\nAnswer: -1\/456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2167, 2178, 2189?\nAnswer: 2200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/17023 and 62\/2632695.\nAnswer: 76348155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -226, 2\/15, 0?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from afffaffffaa. Give prob of picking 4 f.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -1\/91, -6\/5, 6, 0, 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 4*p - 16. What is the units digit of d(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2226.333um?\nAnswer: 0.002226333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5 - 3 + 2*v + 1. Let p be -14*(6\/(-8))\/((-3)\/(-2)). Determine i(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389136 to the power of 1\/2, to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 15 = i - 2*q, 0 = -5*i + 5*q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a9 - -f?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -553*w + 1826 + 1665*w - 549*w - 562*w - 7269 to the form d + i*w and give d.\nAnswer: -5443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(30)\/sqrt(6)*5 - sqrt(5) - sqrt(5)))\/((sqrt(3) + sqrt(528)\/sqrt(11))*3).\nAnswer: sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3534, -6992, -10404, -13770, -17090, -20364, -23592?\nAnswer: -26774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23925 a multiple of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/28)\/((-486)\/115101)*(-8)\/(-7)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25577*c - 420 = 25547*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 37299 = -45609. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + sqrt(57)\/sqrt(3).\nAnswer: -4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 7*v. Let z(m) = -78*m + 171*m - 94*m. Determine 5*a(y) + 35*z(y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -9*c**5\/10 - c**4\/12 - c**3\/6 - 6*c. What are the prime factors of j(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, d: 14}. What is prob of picking 1 b and 2 d?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27)\/12*4\/(-3). Suppose 51 = k*h - 15. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/66)\/(2\/(-26)). Which is bigger: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(3\/(-6)*66\/(-297)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/25 + (-24819)\/(-75) - -5. What is the highest common divisor of u and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -470 (base 9) to base 15\nAnswer: -1ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -5)\/(-2) + 60. Let d = -55 + j. Let h(u) = u + 4. Let s be h(-2). Solve d + s = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -217.6 + 218. Let x be -1 - -3 - (-17)\/(-8). Sort x, u, -5 in ascending order.\nAnswer: -5, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19160 (base 10) in base 15?\nAnswer: 5a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27055 + 7434 = -3236*h + 3249*h. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -10010111100?\nAnswer: -10010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4277*m**2*t**3 - m*t + 3*m + 400*t**3 wrt m.\nAnswer: 8554*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*z - 7 = 0, 4*s - 14 = 6*z - 4*z. Suppose -4*r**2 + 3*r + s + r + 6 - 2 = 0. What is r?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 47 = -5*n, 0*n - 4*n = 5*a + 13. Let v be ((-170)\/28)\/(n\/112). Let o = 97 - v. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5428 - 4250. List the prime factors of n.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4 + 2319616*l**3 - 336288649216*l**2.\nAnswer: -4*l**2*(l - 289952)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*z - 4, 3*p - 3*z = -1 + 16. Let o(i) = 6*i - 11. Let x be o(4). Let l = x - p. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10010 - 0?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*v = -15, 9 = -4*x + 4*v - 7*v. Let b be (-30)\/18*(-9)\/5. Let l = -10 - -15. Put b, l, x in increasing order.\nAnswer: x, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-25) - 3\/(-15). Suppose 3*z - 4*z = -1. Let w(g) = 4*g - g**3 - 3*g - g**2 + z + 0*g**3. Determine w(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xzxxxxzxx.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.0423 to 2 dps.\nAnswer: 5.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/60*6\/5)\/(600\/12).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.321 + -28.721. Let t = -31 - c. Let b = -2.638 - t. What is b rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 4*y**3\/3 - 4*y**2 - 12*y + 27. Factor v(d).\nAnswer: 4*(d - 3)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -94.\nAnswer: -14\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2893 + 2893. Suppose -3*r - 12 = -2*x + r, 0 = 5*x + 2*r + 6. Solve x = -k*m - m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 4, -2\/11, 2\/5, 2\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1347564711.\nAnswer: 3, 109, 4120993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2 - 700*j + 23820. What is q(30)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 3. Let s(j) be the first derivative of o + 0*j**3 + 5*j + 2 - 3*j**3 + 4*j**3. Find the first derivative of s(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8*(20\/8 + -3). Suppose p*m = 2*m + 10, 0 = 4*g - 4*m + 48. What is the units digit of (6\/g)\/((-21)\/98)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 32 + 2)*(184*d**2 - 182*d**2 + d + 12*d).\nAnswer: -144*d**2 - 936*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from haaaaha.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.623 rounded to two decimal places?\nAnswer: 1.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(192) - -1*sqrt(192)) - (sqrt(192) - (sqrt(192) + 1 + -4)))*-6 - (sqrt(2400)*-4)\/(sqrt(8) - -3*sqrt(512)))**2.\nAnswer: 11328*sqrt(3)\/5 + 671952\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w = -11 - 94 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 98\nAnswer: -1078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -1 (c) 1\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - v**3 - v**2)*(5 - 4 + 1) + 75*v - 13*v**3 + 0*v**3 - 74*v.\nAnswer: -15*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljc when three letters picked without replacement from {x: 3, j: 1, l: 3, q: 10, c: 2}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 61\/4 of a microsecond?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -609 (b) 1520 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y - 5. Let t be z(-6). Let s(x) = -568 + 568 - t*x**2. Let j(i) be the first derivative of -5*i**2\/2 + 38. Calculate j(s(p)).\nAnswer: 65*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 2:44 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-2)*(30 + -16). Suppose 2*s - 90 = -y. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k - 11. Let z(h) = -15*h + 23. Let c = 15 - 15. Suppose j - 5*j + 12 = c. Let n(w) = j*z(w) + 7*o(w). Find the first derivative of n(x) wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*t**3 - 47*t**3 - 36*t**3.\nAnswer: -175*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58125 and 675.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15953 + -6308. List the prime factors of y.\nAnswer: 3, 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 0\/2 - 3. Suppose -5*w + 5*l + 15 = 0, g = -5*w - 5*l + 2 - 7. Which is greater: w or -2\/27?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 35*o - 36. Find the second derivative of -77*q**5 - 8*q + 12*q - o - 3*q - 213*q**5 - 5*q wrt q.\nAnswer: -5800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 79 - -1843?\nAnswer: 18bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -32 - 4. Is 53\/2 - (-6)\/v a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one twentieth of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -692, -693, -694, -695?\n\"Answer: -u - 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 0.157 (c) 174 (d) 4 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a. Let y be r(1). Let z be 0*((-2)\/y - 0). Solve f = 5*f - t + 12, 5*f - 5*t = z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 9*p - 2*h - 7 = 0, 5*p - 5*h + 45 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 130726080*q - 62480566.\nAnswer: 130726080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1316248601 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.4371 rounded to zero decimal places?\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 10a39?\nAnswer: -10a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvv when three letters picked without replacement from {m: 3, v: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13120100 + 100?\nAnswer: -13120000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-10 - 0))\/(-3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -343694, -343627, -343514, -343355, -343150, -342899?\n\"Answer: 23*w**2 - 2*w - 343715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 33. Let m be (12\/(-8))\/((-2)\/y). Put -0.1, 0.5, m in decreasing order.\nAnswer: 0.5, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6425, 6708, 7163, 7796, 8613, 9620, 10823?\nAnswer: 12228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 13*v. Let p(j) = -3*j + 4. Let i(g) = -3*g + 5. Let a(y) = 4*i(y) - 5*p(y). Let u be 1 + -3 - (-2 - 2). What is u*q(n) - 9*a(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 20 = -0*d. Suppose j - 2*j = 0, 5*j + d = x. Is x greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71445120 and 381.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -870298?\nAnswer: 8\/435149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.06, 0.4, -0.05?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 140, 287, 444, 617, 812, 1035, 1292?\n\"Answer: j**3 - j**2 + 143*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u**3 + 5*u**2 - 3*u - 2. Let p be d(4). Let j = -179 - p. Let o = 506 - 480. Calculate the remainder when j is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4) + (-24)\/(-32). Which is smaller: -0.2 or g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4*f - 32, -5*t - 4*f + 9*f = -45. Solve -p = -t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*a - 52 - 5, -4*p + 5*a = -279. What is the remainder when 76 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**8\/336 - 13*u**6\/30 + 37*u**4\/24 + 34*u**2. Find the second derivative of c(q) wrt q.\nAnswer: -20*q**3 - 312*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 k, 1 m, and 1 a when four letters picked without replacement from yabmrkym.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/(-2541) + (-4)\/22.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n + 2*n + 2*n + n - n + n + (-3 + 6 + 0)*(758*n - 70868 + 70868) as s + p*n and give p.\nAnswer: 2273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 0)*(0 + 3 - 5)*(-1 + d - 2 + 2).\nAnswer: 8*d - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*y - 3*z - 12, 4*z = -3*y - 16. Suppose -2*a = -j + 10, -a + y - 6 = -j. Let d = -3 - a. Put -1, -3, d in ascending order.\nAnswer: -3, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5093 - -5094.5. Which is bigger: 7.1 or t?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1474, 2936, 4402, 5872, 7346, 8824, 10306?\nAnswer: 11792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -66060 divided by -13212?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -259*n**3 - 107*n + 109*n - 204 - 48 wrt n.\nAnswer: -777*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -204820 + 7?\nAnswer: -204813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 37 = -5*y, c - 3 = y + 5. Let t be 10*c\/(12\/(-10)). Let k = t - -47. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2629 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2001?\nAnswer: 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1204\/(-168) + 8)\/((-6)\/(-1132)). Is w equal to 156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kckc when four letters picked without replacement from ckccccckkc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19003 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000183 rounded to 6 dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -56 - 5c?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1168721 or 2?\nAnswer: -1168721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38171 and 5453?\nAnswer: 38171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 152?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + g + 0*g)*(-g - g**3 + g) + 2*g**4 + 3*g**4 - 4*g**4 + 2*g**4 - 4*g**4 + 6*g**4 as j*g + x*g**4 + t*g**2 + v + w*g**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 5\/8 (c) -4 (d) 4\/5 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6*p = 24. Let l be (-4)\/p*24\/4. Let j(n) = n**3 - 5*n**2 + 6*n - 4. Let k be j(l). Solve 4*f - 3*c + 6*c = 25, -4*f + k*c + 4 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1507*i + 6372 + 16233 = 0 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6*(-3)\/135 - (-38488)\/237360 and 17\/12?\nAnswer: 11868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 253244, 506484, 759724, 1012964, 1266204?\n\"Answer: 253240*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40975 and 8351450.\nAnswer: 91865950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1008 and 76\/1215459?\nAnswer: 19447344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 66, 157, 288, 459?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (17 + -10)*7717\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*j = 5*j - 809, -3*g = 5*j - 1206. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1834 = -q + 6*p - 4*p, 1855 = q - 5*p. What is the least common multiple of q and 168?\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 831631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 1\/8, -0.3, 3969, 21?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -128 + 2*s - 226 + 327 - 172 as p + w*s and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/2 - -2)*6. Let s = -205 - -210. Which is the nearest to -1\/4? (a) 1 (b) k (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - -15dd?\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9830*p = -10009*p + 3759 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 6*f - 6. Let z be p(5). Let q = -35 - z. Let t be 18\/4*q\/39. Which is smaller: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 - 21. Suppose 2369*o + 180 = 2379*o. Calculate the highest common divisor of d and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 - 31*o + 75. What is d(19)?\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y. Let i(h) be the second derivative of -6*h**3 + 11*h**2\/2 - 29*h. Let n(a) = -7*a + 2. Let o(f) = 2*i(f) - 11*n(f). Give 4*c(t) + 3*o(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 7\/3*r**3 + 17\/3*r**2 + 13\/3*r + 1 = 0?\nAnswer: -1, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j, 3*g + 2*g - 15 = 4*j. Suppose 0 = g*v - v. What is the second derivative of v*u + 2*u**5 + u**5 + 3*u + 0*u wrt u?\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21685*h - 21665*h = -60 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 75 = 5*n, -5*n - 31 + 94 = -d. Suppose 5*g - 2 - n = 0. Suppose -4*l - g*x = -89, -1 - 15 = -l - 2*x. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10307253373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -602 + 644. Let p(f) = 2*f**2 + 26*f - 26. Give p(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1546136 and 3768?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 239 or 387?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -1884.\nAnswer: -1130.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20156 is divided by 480?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11131 - 11130.92889. What is n rounded to 3 decimal places?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*h - 416. What is the remainder when h is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -243769 + 243774. Let k be (4\/6)\/((-3)\/117). Let z = 2 - k. Sort b, z, -2 in decreasing order.\nAnswer: z, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164557544?\nAnswer: 2, 2239, 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-2)*((p*p\/(p**(-2\/7)*p))\/p)\/p assuming p is positive.\nAnswer: p**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -1)\/(-1)*(-106)\/(-159). Which is the nearest to 1.1? (a) f (b) -1.4 (c) -0.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -227*g*t**3 - 604279*g - 37229*t**3 wrt t.\nAnswer: -681*g*t**2 - 111687*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7152.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/5? (a) 22 (b) 139 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l - 3*z = -12*l + 7, 0 = -5*l + z - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwv when three letters picked without replacement from {k: 2, f: 4, w: 4, n: 1, v: 1, e: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.8, 3, 4.64, 9\/14?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(-220 - 118 + 107)*(-3 + 0 + 2)*(-m**2 + 7 - 7) as w*m**2 + z + k*m and give w.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(5\/2)*c*c*c))**50*(c**5)**(-24))**(-2\/25) assuming c is positive.\nAnswer: c**(158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 4. Let j = 9 - 5. Let r be y(j). Let a = 202 - 1411\/7. Do a and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.04, -0.4, 1\/10, 19, -8?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*p = 65920 + 141508. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -10*y - 4*y. Let v be (5 - 3)\/(y + 1). Let t(o) = o**3 + o**2 - 3*o - 1. Let r be t(-2). Solve 7 = -v*k - r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 2 - 2)*(6*p**2 - 2*p**2 - p**2) + (3*p**4 - 4*p**4 - 6*p**4)*(-2*p + 6*p - 2*p) + (-2 + 2 - 2*p**4)*(p - p - 2*p).\nAnswer: -13*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 31.2.\nAnswer: 280.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1991 + 1991.02. Which is the third smallest value? (a) -0.4 (b) 44 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14027*g - 14067*g - 640 = 0 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2*d**4 + 8)*(-9*d - 9*d - 7*d + 20*d).\nAnswer: 10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 200 - 1798\/9. Which is the closest to 5\/6? (a) 4 (b) j (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 443*g + 73 - 21 - 21 - 8 to t*g + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 10 = -4*z, -5*g + 1116 = -4*z + 1133 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 greater than or equal to 351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 - -157953 - (12\/4 + -13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -19 + 7. What is the lowest common multiple of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8917 < -8918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + -6*(-1*sqrt(363) + sqrt(363)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 2. Let o = 7 - h. Calculate the greatest common divisor of o and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**2 + 2*j**2 - 4*j + 3*j**2 + 4*j**2 + 3. List the prime factors of g(2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 71, 39, -15, -97, -213, -369?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 6. Let y be 4*(-39)\/((-780)\/(-25)). What is the second smallest value in d, 11, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6 + 2*x**2 - 6*x - 3*x - 12*x**2 + 10*x**3 - 11*x**3. What are the prime factors of j(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5624\/97029 + 1215744091\/285750405. Let b = f + 2\/589. Find the common denominator of (-15*(-2)\/1)\/((-18)\/8) and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 10:05 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/((-20)\/45*36\/12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 33, 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3800 divide 63197800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31281, -62548, -93819, -125094, -156373, -187656, -218943?\nAnswer: -250234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -26. Let l(a) = -33 - 8*a**3 + q*a + 34 - a**2 - 2*a. Let r be l(-1). Solve b - 2*h - r = 3*h, 0 = -4*h - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1100110?\nAnswer: 1101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**3*p**3 - 989*l**3 - 36*p**4 wrt p?\nAnswer: 3*l**3*p**2 - 144*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**2 - 249*p - 848. Give i(-79).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (3 + -6)) + -66 + 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 - z**5 + 2*z**5 + (2 - 2 + 2*z**2)*(-3*z**3 + 0*z**3 + 5*z**3) + 2*z**5 + z**2 + z**2 + 2*z**5 + (2*z**4 + 2 - 2)*(-3*z + 3*z + z).\nAnswer: 13*z**5 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 4*c + 12, 21*t - 24*t - 2*c - 16 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 6*a + 6. Let r be c(4). Let j(g) = -2*g - 2. Let o(q) = 4*q + 5. What is r*o(m) - 5*j(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/45 and -61\/144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5536 divided by -17?\nAnswer: 5536\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22905 + 22909)*(-71)\/4.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 10*q - 200. Let c(m) = 2*m - 6. Let v be c(5). What is the second derivative of q*g**4 - 4*g - g**5 + 14*g - 34*g**v wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (6 + 0)) + (-8 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562304 is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.9 - 0. Let i = m + 0.1. Let k = 2 - 1. What is the second biggest value in k, i, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -25, -0.21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14196 and 7?\nAnswer: 14196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j - 7 + j + 45*j - 6*j in the form k + q*j and give q.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -368 + 367.8. What is the closest to 8 in z, 29, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4941 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -475*x**2 + 792 wrt x?\nAnswer: -950*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2799 = 3*q + 2793. Solve -3*y + 3*s - 5*s - 15 = 0, -3*s = q*y + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3727652 is divided by 374?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 1, 9\/7, 0.5 in decreasing order.\nAnswer: 25, 9\/7, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19123 + 19121.2009. Let g = j + 1.8. What is g rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209880 and 1126620?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*n**3 - 31 + 58 - 2*n - 3*n**2 - 29 in the form f*n**2 + x + r*n**3 + z*n and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 35.78. Let i = 0.22 - q. Let f be 3\/(-105) + (-4)\/10. Which is the second biggest value? (a) f (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1011 - -1003. Is (-123822)\/72*h\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56349, 1\/4, 207 in decreasing order.\nAnswer: 207, 1\/4, -56349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 17121*g - 634837. Determine s(-37).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -593988 = 3*c - 4*m, 2*c - 3*m + 229073 + 166918 = 0. What is c rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 75 - 75 + 14*w**4 - 6*w**4 + 2*w**4 + 2*w**4 + (-15 - 5*w**2 + 15)*(0*w**2 - 3*w**2 + 2*w**2) as n*w + d*w**3 + t*w**2 + a + p*w**4 and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from duzdd?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*y**3 - 2 - 2*y**2 + 22*y**3 + 42*y**3 + 3*y + 3*y to k + c*y**3 + q*y + n*y**2 and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1343\/6 + 224. Factor 0*b + 0 + m*b**2.\nAnswer: b**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31178403847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in -2, 13, -13462?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(356 - 707 + 480)*(2*q - 4*q - 3*q).\nAnswer: -1935*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j - 105608 = 0. Suppose o = -3*z + 19040 + 7354, o - j = z. Suppose 28*p = 32*p - o. What is p rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2142, -2107, -2048, -1965, -1858?\nAnswer: -1727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2.6. Let x = b - 2.4. What is the third smallest value in x, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -2, -4, -5 in ascending order.\nAnswer: -50, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/5 + 10*p**3.\nAnswer: -2*p**3*(p - 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpppppppppppphppppp. Give prob of sequence ph.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -395, -3245, -11015, -26165, -51155?\nAnswer: -88445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a gram in milligrams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 44.\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -12*x**2 - 6*x - 20. Let z(c) = -c**2 - c. Let r(b) = p(b) - 6*z(b). Find the first derivative of r(a) wrt a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*f - 15 = -4*j, -3 = -j + 4*f. Let u be (-22)\/(-18)*3 - j. Factor 0 + 0*m**3 - 2\/3*m**2 + u*m**4 + 0*m.\nAnswer: 2*m**2*(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*v + 10140, -4*v = 4*o - 3*o + 3395. Let b = o + 5992. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -33. Calculate the remainder when p is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**4 + 0*y**4 + 4*y**4 + (y**3 + 3*y**3 - 5*y**3)*(3*y - 3*y - 2*y) + (2*y**2 - 3*y**2 + 3*y**2)*(1 - 3 - 2)*(-20*y - 15*y**2 - 3*y + 29*y).\nAnswer: 123*y**4 - 48*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/8)*s)\/(s\/s**(3\/7)))**(-1\/26)\/(s**5*s**5)**18 assuming s is positive.\nAnswer: s**(-262153\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-1) - ((-36)\/9 - 136\/17). Suppose 3*c = -3*i + c - 1, 3*i - 4*c - 11 = 0. Calculate the highest common divisor of i and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3658 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4217, -3, -0.5 in decreasing order.\nAnswer: 4217, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*x + 308 = -380 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12))\/(28\/(1680\/(-5))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28233172 and 0.01.\nAnswer: 282331.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j*j**(2\/71)\/j)\/j)*j)**(3\/2)\/((j*j**(2\/81))\/(j*j**29*j)))**2 assuming j is positive.\nAnswer: j**(413302\/5751)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 8. Let y be (-1 - -2*1)*p. Find the first derivative of 0 + y + 2*m**4 - 4*m**4 wrt m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3117 + -3105. What is the remainder when 2795 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -587d0d + -3?\nAnswer: -587d10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 25*r**6 + r**5\/5 + 277*r**2 + 2301. What is the second derivative of n(j) wrt j?\nAnswer: 3000*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b**3 - 134*b**2 + 81*b - 153. Let a(o) = -o**3 - 27*o**2 + 16*o - 31. Let k(u) = 11*a(u) - 2*t(u). List the prime factors of k(-30).\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(833)*5 + -3*(-2 + sqrt(833) - sqrt(833))**2 + sqrt(833) - -3*sqrt(68)\/((sqrt(80)\/sqrt(4) + sqrt(20))\/sqrt(5))*4.\nAnswer: -12 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 61*d - 223. Let s be (-1)\/((-1)\/140) + -4. Suppose -167 = -5*y + 2*q + 188, 2*y = 2*q + s. What is the remainder when y is divided by x(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.1741 times 14\nAnswer: -30.4374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 42*k**2 + 73*k + 3107. Determine a(-42).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37132 is divided by 54?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 + 85 = -3*m - 2*q, -m - 10 = -5*q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/(77\/(-308)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525 divided by -35.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6012400 divided by 100.\nAnswer: 60124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + u - 23 = 0, -13 = 2*b - b - 2*u. Let o = b + 16. Suppose 23 = o*c + 3. Solve -3*r = y + r - 8, -c*y = -3*r - 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.8 - 3.6. What is the smallest value in -37, m, 0.1?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 d when three letters picked without replacement from {d: 7, u: 5, h: 1}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11340 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 662.3458mm?\nAnswer: 662345.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 198, 284, 426, 624?\n\"Answer: 28*m**2 + 2*m + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*x + 5*i, -10*i = 144*x - 147*x + 36. Suppose 338\/9 + 98\/9*m**x - 364\/9*m = 0. Calculate m.\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 485601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1537733 divided by 19\nAnswer: 1537733\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9381472 and 12192?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.8 - -3.9. Let f = t - 2.09956. Round f to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 5*u = -20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200223012 - -32?\nAnswer: -200222320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 11040*f**2 - 22071*f - 11034.\nAnswer: -3*(f + 1)**2*(f + 3678)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*h + 36 + 51*h + 151 - 25*h.\nAnswer: 89*h + 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 443968667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 10) to base 8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 926.1 and 0.31.\nAnswer: 926.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a - 7*a + 2*a**3 - 2 + a + a**4 as f*a**4 + r*a**3 + d + g*a**2 + s*a and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 5*a**2 - a + 7. Let b be j(5). Suppose -2*h - 3*p - 2 = 1, -9 = -5*h - b*p. Find the second derivative of 0*l**4 - h*l + 2*l + 2*l**4 wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 times 8.8?\nAnswer: -316.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*(-1)\/(-2)*-10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (312\/(-72))\/(-4*35\/1260).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 1:58 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61174 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**4\/24 - 12*i**2 + 2*i. Let w(c) = -126*c. Give g(w(y)).\nAnswer: 126*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/74711 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from luiuiiiuiuuopuo. What is prob of sequence iipl?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*97 - (-1 + 0). Let a(c) = -c**3 + 15*c**2 - 43*c + 105. Let l be a(12). Suppose -j = -l*q + 14*q. Solve 3*d - 1 - q = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(119) - -5*2*sqrt(119))\/sqrt(7))**2 - 3*(1 + (sqrt(17) - (sqrt(425) - sqrt(17))**2) + sqrt(17) + 2).\nAnswer: 60*sqrt(17) + 2873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41\/2 + -20. Suppose 0*l = 4*l - 20. Sort l, s, -0.5 in descending order.\nAnswer: l, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -2033?\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**4 - 438*h**3 - 2709*h**2 - 4092*h - 1824 = 0?\nAnswer: -4, -1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -585 by 65.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -3. Let x = z - -5.95. Round x to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrdduudnrududnvd. What is prob of sequence dudv?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/12 (b) -0.61 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, 1.14, 0, 3, 0.4, -25, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 18) + (-3 - 16) - (-11 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 241*n**4 - 2*n**3 + 4*n - 48. Let d(v) = -1927*v**4 + 17*v**3 - 34*v + 382. Let s(t) = -6*d(t) - 51*m(t). Find the first derivative of s(j) wrt j.\nAnswer: -2916*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 3. Let p be q(0). Let u(m) = p + m**2 + 5*m + 0 + 2*m**2. What is the units digit of u(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2251*c**2 + 29272*c - 113. Give m(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**2 - 1344*u - 33984 = 0?\nAnswer: -24, 472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4\/5 + 87*f**3\/5 - 18*f**2.\nAnswer: 3*f**2*(f - 1)*(f + 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28.46, 4, -515 in increasing order.\nAnswer: -515, -28.46, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 3*n**2 + 5*n + 4. Suppose -3*g + y - 167 = 0, -4*g = -g - 3*y + 159. Let r = -61 - g. Determine i(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -246, -489, -732, -975?\nAnswer: -1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1386 + 21 + 87 - 3*h)*(-h**2 + 3*h**2 + h**2) to v*h**2 + b*h**3 + w + i*h and give v.\nAnswer: -3834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2*(-4)\/8)\/(1\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 - 83 - (-210)\/(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 16 = -0*t + 3*q, -4*t + 8 = -4*q. Let c be t + (4 - 0) + 3. Let j = -10 - -6. What is the nearest to -2 in c, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1106 + -1103. Solve 0 = 5*j - d*p - 11 - 12, -3*j + 13 = -p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-60))\/((-10)\/150)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.4 + -20.6. Let y = -28 - m. Sort 4, y, -4\/5 in decreasing order.\nAnswer: 4, -4\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -252509\nAnswer: 25250.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + (12 - 6 - ((2 - 7) + 15 - 5)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*r - 9, r + r = 4*z. Suppose z = 2*l - 1. Let d = 582 - 580. Solve 0 = d*y - l - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 7*v**2 - v + 9. Calculate the least common multiple of 4 and u(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**(2\/3)*a)*a**(4\/9)\/a)**(-1\/10))**(-23))**1 assuming a is positive.\nAnswer: a**(-46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*3*-3)\/sqrt(1296).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*h + 2944 = 323*h for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 3*z**5\/5 - 7*z**3\/6 - 4*z. Find the second derivative of i(v) wrt v.\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-585\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*l = -52*l - 18 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 - -62. Solve -2*l = -d - 0 + v, -2*d + 11 = -3*l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 7*w**5\/30 - 7*w**4\/12 - 17*w**2. What is the second derivative of b(q) wrt q?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 193422?\nAnswer: 193421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/640*15)\/(3\/(-216))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 18 = 2*k. Suppose -i + 2*b + k = 0, 4*b = b + 9. Solve -i = -3*v + 7*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41645910 by 20822955.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t + 10 - t**2 - 7*t)*(t**3 + t**3 + 2*t**3).\nAnswer: -4*t**5 + 40*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*z + 1. Let j(q) = q**3 - 6*q**2 - 7*q + 2. Let t be j(7). Let y be (0 - 0)*t\/4. Put y, 3, z in decreasing order.\nAnswer: 3, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 less than or equal to 467910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - y + 1. Let j(v) = 5*v**2 - 10*v + 1. Let k(h) = -j(h) + 4*o(h). Let q be k(6). Factor -2*m + 2*m**q + 2*m.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 25 = -311. What is the highest common factor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 41428442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s. Let d(f) = 663*f. Give n(d(p)).\nAnswer: -1989*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(847) - (1 + sqrt(847))**2) + -3 - (-1*sqrt(847)*1)**2).\nAnswer: 55*sqrt(7) + 8490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -386443*c**2*j**2 - 2*c**2 - 2*j**2 - 79663*j wrt j.\nAnswer: -772886*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -30*l + 15*l - 4 + 14*l. Let d = 17 - 29. Is h(d) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 338 and 1.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4475, 16148, 27821, 39494?\n\"Answer: 11673*l - 7198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 8*g + 15 = 0. Suppose -3*v = -g*m, -m - 6*v + 20 = -2*v. Find the second derivative of -4*c + 2*c - m*c**2 - 7*c**2 wrt c.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -217, -274, -353, -454, -577?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**3 + 326*q**2 - 1343*q + 205. What is b(4)?\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 36.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -26.017. Let i = 1503.483 - 1503. Let b = w + i. What is the smallest value in b, 1, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -367*b + 363*b + 4*o + 48, -b - 18 = 4*o. Let i(c) = 5*c + 5. Let n(y) = -y - 1. Give b*n(z) + i(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 + 122 + -3 + -53 + (8 - 2)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/20 and -47\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 6*l + 2*l + 18, -2*r + 19 = 3*l. Suppose 9 + 5 = r*i. What is the units digit of (i - -3)\/((-2)\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 219 = -2*c, -c - 4*q + 456 = 3*c. Suppose 4*u - c = -1. Let r = 34 - u. Solve -r*b - 2 = -3*b, 4*b + 3 = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j - 4. Let z(r) = 8*r**2. Calculate z(n(h)).\nAnswer: 288*h**2 + 384*h + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - 34 - (51 - (8 + -3 + -7) - -5)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27288065 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*o = t - 40*o + 27, 0 = 3*t - 4*o - 47 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -139, -268, -413, -580?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 5\/24*o**4 + 0 - 1\/6*o**3 - 2*o**2 - 1\/60*o**5 + 0*o. Let n(i) be the first derivative of w(i). Calculate n(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20277*x - 10164*x + 1344 = 10161*x for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*b - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -169, -255, -341?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a microgram in nanograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 not equal to 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**2 - 2. Let n(j) = 11*j**2 + 7. Let w(p) = -7*d(p) - 2*n(p). Let y(r) = -132 - 138 + 28*r - 140 + 410. Give w(y(q)).\nAnswer: 4704*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 285, 432, 581, 732, 885?\nAnswer: 1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11971 + 6562. What are the prime factors of b?\nAnswer: 43, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21254*s - 21215*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/6*8\/12. Suppose d - 5 = b. Is (-3 - b)*(144 - 5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/144510070 and 73\/1583672.\nAnswer: 578040280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88932*n*r**2 + 53416*n*r wrt r?\nAnswer: 177864*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -cee81 (base 15) in base 10?\nAnswer: -658021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*l + 2*w, -5 = l - 2*w + 2. Let h = 0.01 + -2.01. Let n = h + 2.5. Sort 4, l, n in decreasing order.\nAnswer: 4, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 1051 - 48*l**2 + 50*l**2 - 1049. Give t(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -3*b + 3 + 1\/2*b**2. Differentiate l(i) wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 88557, 177113, 265669, 354225, 442781, 531337?\n\"Answer: 88556*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 24*p - 5 + 13)*(7 - 2*p**2 + 6 + 7).\nAnswer: -48*p**3 + 4*p**2 + 480*p - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128.5 - -128.9. Let b = 1361\/2345 + -3\/335. Sort -1, q, b, 2\/3.\nAnswer: -1, q, b, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 15. Suppose 0*b = y*b - 2*t - 121, t - 143 = -4*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lil. Give prob of picking 1 i and 1 l.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 269\/2 + 9\/(-6)*1. Let q = 165 - l. Solve 3*y - 7 = 4*r, y + 3*y + q = -5*r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 + 7*o**5 - 4*o**5 + (2*o - o**2 - 2*o)*(-11*o**3 + 4*o**3 - 9*o**3).\nAnswer: 17*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -608 + 609. Let g be w + 27\/12 - -3. Factor -5\/2 - 5*p**2 - 5\/4*p**3 - g*p.\nAnswer: -5*(p + 1)**2*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3*(-5 - -4). What is the nearest to 13 in u, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004008 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/8 of a week?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 51\/12*1*-52. Let w = 241 + v. Calculate the greatest common factor of 380 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*r**2 - 1 + 10*r**2 + 12*r**2)*(0*r - r + 3*r)*(-5 + 4 + 5 + (1 - 2 + 0)*(-4 + 2 + 0) + 1 + 1 + 0).\nAnswer: 576*r**3 - 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3823.269 plus -68396251?\nAnswer: -68400074.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85365, -85364, -85363, -85362, -85361?\nAnswer: -85360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/8)\/(3\/(-26)*(-60)\/360).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*s + 57 - 1. Let d = 18 + -13. Solve -3*z + 3 + 2 = -d*c, -8 = -s*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 10*t - 15*t. Suppose -4*x = -2*z - 8, 5*x + z = -0 + 3. Sort t, 0, x in increasing order.\nAnswer: t, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 20 = 5*v - 5*j, 5*v - 35 = -j. Suppose v*l - 1080 = -5*l. Which is greater: l or 88?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*g - 136 - 227 = 0 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 1669545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 6 - 20, 3*p + l = 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17284250 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.198 - 0.407. Let b = -2.791 + x. What is the second smallest value in 3, 0.2, b, 22\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.1 + 5.1. Which is the biggest value? (a) -3 (b) m (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -5*m - 447 + 463, -l - 14*m + 60 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4542245 + -315.\nAnswer: -4542560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 587 + -344. Let a be (-3)\/(-2) - g\/18. What are the prime factors of a\/7*(-23 - 5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*v = -7*v + 19, -2*k - 5*v + 43 = 0. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9217615?\nAnswer: 5, 11, 167593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16.7004 * 26\nAnswer: -434.2104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.94 - 0.06. Suppose 5*d + 15 = 4*v, 0 = -4*d - 3*v + 6 - 18. Let p be 46*3\/48 + d. What is the third smallest value in o, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*r = -783 + 213 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3285143 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 7:33 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -3. Suppose 5 = h*v + 2. Let x be 0 - (-3)\/(v - 10). Which is smaller: x or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*d + 17, -2*d - 1 = 72*s - 69*s. Solve -2*v = -v + d*j - 3, -4*v = 3*j + 14 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g\/(g\/(g**12*g))*g)\/g)\/(g*g**5))**(4\/19))**48)**(-1) assuming g is positive.\nAnswer: g**(-1344\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3648830?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/25 + (-16)\/(-5). Let p(f) = f**2 + f - 2. Let a be p(l). Let c be (a - 2010)*20*-85. What is c rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7314 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:29 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 + 914*z\/3 - 170116\/3.\nAnswer: 2*(z - 142)*(z + 599)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 186*h*x**2 - 14*h - x**4 - 4*x wrt x.\nAnswer: 372*h - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487997271.\nAnswer: 3, 71, 277, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.952 + -9. Let u = 9.152 - x. What is u rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -791 + 6056 = 5*x - 5*w, 5*x + 4*w - 5283 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -178, -366, -682, -1168, -1866, -2818, -4066?\nAnswer: -5652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d**5 + d**3 - d - 17 wrt d.\nAnswer: 120*d**3 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18550 and 15050.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*j**2 + 31*j**2 + 9*j**3 + (3*j**2 - 2*j**2 + j**2)*(-2*j - j + 2*j) - 5*j**3 - 36*j**3 - 45*j**3 in the form n*j**3 + z*j**2 + q*j + a and give n.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1561 + 35902\/23. Which is smaller: -43 or k?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 27 = -45. Let q = -16 + a. Suppose -3*x = -q*y - 61 + 9, y = 5*x - 96. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**2 - 4*a - 23. Suppose 4*l = -n - l + 19, 0 = 5*l - 15. Let s(b) = b - 1. Give n*s(h) - j(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -102*x**2 + 6*x + 24. Let i be h(-4). Is 24\/(-8*8\/i) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 3 - 7 - (1 - 4) - 27?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71ca (base 13) to base 14.\nAnswer: -5a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 136389, 545652, 1227759, 2182710?\n\"Answer: 136422*z**2 - 3*z - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 0*j + 0*j)*(-450 + 62 - 1074).\nAnswer: -4386*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**5\/30 + 5*g**4\/24 - g**3\/2 - 4*g**2. What is the remainder when l(3) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91201917.\nAnswer: 3, 41, 741479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*m + 4 = 23, w - 3*m + 11 = 0. Suppose 4*s - 5*y + 3 = 0, 5*s + 2 = w*y + 5. What is the second derivative of -29*d**s + d + 24*d - 40 + 40 wrt d?\nAnswer: -174*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -43. What is the greatest common factor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x + 2. Let z be h(-2). Let v(a) = -65*a + 2. Let c be v(z). Suppose -c + 52 = -4*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v. Let w(d) = 3*d**2 - 44*d. What is j(w(c))?\nAnswer: -6*c**2 + 88*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04 and -1563.\nAnswer: -1563.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, a: 1, v: 1, k: 1, q: 1}. Give prob of sequence kvaq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 3. Let u be 1\/((16\/12)\/(-4)). Let p(a) = -6*a**2 - 16. Let f(k) = -3*k + 5. Let q be f(7). What is q*t(v) + u*p(v)?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 3\/2*k**3 + 1\/12*k**4 + 10*k + 0 - 9\/2*k**2. Let u be t(-10). Solve z + u = 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2 - 3 - 4*u + 11*u - 6*u. Let q(h) = -3*h. Suppose -5*b = -5*i - 0*b, 5*i + 4*b - 36 = 0. Suppose -i*z - 2 = -m, m + 1 = -1. Give z*q(a) - c(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + 3)*(-8)\/6. Let k(r) = -r - 7. Let d(g) = -2*g - 23. Let t(m) = -3*d(m) + 8*k(m). Calculate the remainder when 85 is divided by t(p).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (11 + 6 + -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**3 + 11*j**2 - 8. Let h(i) = -4*i**3 - 10*i**2 + 7. What is 6*h(x) + 5*z(x)?\nAnswer: x**3 - 5*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h. Let a(c) = 655*c**2 - 2. What is t(a(p))?\nAnswer: -3930*p**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.62 + -0.6. Let l = 785016 - 785016.02000115. Let i = l + b. Round i to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngng when four letters picked without replacement from {n: 2, g: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*a = -5*h + 542, -3*h = a - 548. Let r = -23 + h. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - 0.05. What is the nearest to 1\/4 in -2, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t - 3 = -31*t. Suppose 2*n = 2 + 6. Solve 0 = t*u - 5 - n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 81222, 324885, 730988, 1299531, 2030514?\n\"Answer: 81220*o**2 + 3*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/28101 and -71\/595935.\nAnswer: 17282115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.128 + 16.341. Does n = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -612583342289 and 0.0681?\nAnswer: 612583342289.0681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 133a6 - 40?\nAnswer: 13366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 6 + 41. Suppose o - 4*o - x*m + 3 = 0, 5*o - 3*m - 5 = 0. Sort 0.039, o, -0.1.\nAnswer: -0.1, 0.039, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 4*j**2 - 4*j + 3. Let b be o(2). Let d = b - -38. Suppose 3*u + d = 6*u + x, 2*u = -x + 28. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 64\/16 - 2\/(-2). Suppose k*d = -4*j + 17522, -2*d + 7014 = 3*j - 4*j. Let q = d + -1963. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqd when three letters picked without replacement from {h: 1, g: 4, c: 5, q: 3, d: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*p + 21519 - 11839 = 0 for p.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 = 4*b - 227 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 + 208*n**2 - 184*n - 2301. Give p(103).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1566755 is divided by 108.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 13 = -2*k, 5*x - 3*k + 18 = 5. Let o be ((-2)\/x)\/((-7)\/595). Let n = o + 56. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325875 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 9*a + 3. Suppose -43 = -4*l - 7. Let y be u(l). Sort y, -4, -3 in ascending order.\nAnswer: -4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzgz when four letters picked without replacement from {g: 2, z: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - ((-10 - -21) + 1 + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 2:16 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**6\/24 + p**5\/3 + 25*p**4\/6 - 40*p**3 + 5*p**2 + 40. Find l, given that n(l) = 0.\nAnswer: -4, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41375 and 118500?\nAnswer: 39223500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 48, -10\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by 2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 790773.5 hours to microseconds.\nAnswer: 2846784600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 401774677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130131984, 260263967, 390395950, 520527933?\nAnswer: 650659916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*l - 4. Find the second derivative of -40 - l*i**4 - i + 40 wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*w + 35. Suppose -106 = -5*m - w. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -1. Suppose -a*n + 7 = -5. Let r(t) = 2*t**2 - 3*t + 1. What are the prime factors of r(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.15396 and -1.1.\nAnswer: -0.94604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1172*b*f**2*o + 54*f**2 + f*o + 9*f wrt b.\nAnswer: -1172*f**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 14 + 2533*r - 21 + 362*r + 2964*r to a + p*r and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r**(-8)))\/r**(-8)*(r**(5\/6)*r*r)\/r**(-8) assuming r is positive.\nAnswer: r**(167\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7464235?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201 - -102?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s**2 + 2*s + 15*s**2 + 8*s.\nAnswer: -s**2 + 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 135.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 801*t - 288*t + 2486*t + 2090*t**3 + 1748*t**3 wrt t?\nAnswer: 23028*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211 + 336. Is m a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9067 + 2*c**2 - 3*c - 3562 + 2939 + 3*c in the form p*c**2 + n*c + m and give m.\nAnswer: 8444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7739438?\nAnswer: 2, 7, 37, 67, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -14235.85 and -1\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/34319, 0.2, 19, -3, 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 505675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-2))\/((-20)\/(-40))*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 97.6?\nAnswer: 97.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - -0.1. Let u = -1.2 - -0.2. Let j = -50 + 49.5. Put j, y, u in descending order.\nAnswer: y, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -1.2 (c) -1 (d) -5 (e) 3\/7 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*a + (20 - 25 + 14)*(4*a - a - 5*a).\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -534+-849142.9\nAnswer: -849676.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.41914 + 20.43714054. Let j = -1238 + 1237.982. Let g = x + j. What is g rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*s + m, 3*m - 62 = -4*s + 4. What is the least common multiple of (-180)\/(-28) + (-39)\/91 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 4)\/(-8)*-2 - 3. Let d(g) = 0 + 5*g - 2 - 11*g. Give d(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -201 > -202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-3)*w*w**(-1\/2)*(w**0*w)\/w**(1\/2))\/(w**4\/(w*w**6*w)*(w*w\/(w**(-6)*w*w))\/(w*w*w**2*w*w)) assuming w is positive.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5928\/5434)\/(8\/88).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301 - -2220110333?\nAnswer: 2220111300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - (sqrt(90) + sqrt(90) + sqrt(90) + (sqrt(90) - 2*sqrt(90)) + sqrt(90))\/sqrt(9))\/(sqrt(315)\/sqrt(7)) + 1 + -1*sqrt(288) + -2*sqrt(288) + 2.\nAnswer: -110*sqrt(2)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -275*g - 651. Let c(o) = -279*o - 650. Let i(r) = -4*c(r) + 5*s(r). What is the derivative of i(f) wrt f?\nAnswer: -259","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 1013272.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 241717?\nAnswer: -241712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-200)\/(-175))\/(2\/(-7)). Let g = 0.36 + -0.06. Suppose p - 1 + 0 = -2*u, -2*p + 5 = u. Put g, s, p in ascending order.\nAnswer: s, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25114 (base 10) to base 5.\nAnswer: 1300424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14226259*b**3*t**3 - 1221*b**2*t**3 + 5295*b**2 wrt b?\nAnswer: -85357554*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 996*b**5 + 18932*b**4 + 56924*b**3 - 173844*b**2 + 96208*b + 784 = 0?\nAnswer: -14, -7, -2\/249, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.866 and -3?\nAnswer: 2.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00521338 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 94*m + 1893. Let t be s(-20). Let g(p) be the second derivative of 0 + 4\/3*p**4 + t*p + 0*p**3 - 7\/2*p**2. Find the first derivative of g(u) wrt u.\nAnswer: 32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1513671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(((-18)\/54)\/((-2)\/2)). Solve -45 = 9*t - s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*w - 74 + 64 = -3*q - 0*w, 32*q = w - 139 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 13. Calculate the smallest common multiple of l(-17) and (-2)\/6 - 129\/(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 0.1, -0.2, -9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*q = -25781 + 8007 - 22066 for q.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 30*i**2 - 2609*i - 180. Calculate l(87).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 1, 0.18, 0.5, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/5))**(-12)*(g**(2\/5))**(-24))\/(((g\/g**(1\/3))\/(g*g**(-6)))\/(g**(2\/3))**47) assuming g is positive.\nAnswer: g**(313\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffvffffffff. Give prob of sequence fff.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-136)\/36 + (-4)\/18. Let v(u) = u**2 + 4*u + 4. Calculate v(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z - 3 + 39 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + q = -180, 5*k + q = k + 135. Let f(z) = -6*z - 44 + 21 + 23 + z**2. Let r be f(7). What is the greatest common divisor of k and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8901152 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*p + 55800 = -977*p for p.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 784999863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2244.052*0.55\nAnswer: 1234.2286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 16*i**2 - 80*i - 30. Let q be 0 - (-2)\/(-5)*40. What are the prime factors of w(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a kilometer in meters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*g - 152. Let a = g - 149\/4. Let m = 551\/5 - 111. What is the third biggest value in -1\/3, a, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -466.685, 4\/7, 2\/3?\nAnswer: -466.685","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - 12?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**2 + 182880*p + 4180636800 = 0?\nAnswer: -45720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.21 and -12185.\nAnswer: 2558.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.32 - -2.62. Let o be (-6 - -7) + 3\/48*-6. Which is the third biggest value? (a) o (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2 + 2*d. Let b(z) = z**2 - z. Let t(j) = 6*b(j) + 3*r(j). Let w(n) be the second derivative of 11*n**3\/6 + 2*n + 1. What is t(w(u))?\nAnswer: -363*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2 - 28*s + 4. Let k(d) = -4*d**2 - 24*d + 9. What is -7*k(v) + 6*y(v)?\nAnswer: 10*v**2 - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-4)*-1*34 is divided by (-8)\/(-28) + 204\/21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (256\/(-336))\/((-68)\/(-119))*975\/(-20)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -40, -31, -8, 35, 104, 205, 344?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 248454893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 31*a - 41777 = -27*a, -2*a = -2*d + 83500. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1106602 - -1605?\nAnswer: -1104664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3345 divided by 1115?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -146753 (base 12) in base 15?\nAnswer: -6ba60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/20 in -0.2, 2\/9, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l + 6*l**2 + 0*l**2 - 2*l**2 + 3*l**3 + 9. Let i(h) = 4*h**3 + 4*h**2 - 7*h + 10. Let j(g) = 5*i(g) - 6*w(g). What is the tens digit of j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-369)\/41 - (0 + -1096) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2*u**3 + 4 - 4*u**3 + 0*u**3 + u**3 - 4*u**3 + (-1 - 5 + 4)*(-2*u**3 - u**3 + 2*u**3) in the form z*u**3 + l*u + x*u**2 + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 288035563?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-25)\/15)\/(4\/42). Let h(k) = 4*k - k - l - 1 - 5*k + 5*k. Let g(x) = -2*x + 5. Calculate -8*g(n) - 5*h(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47809503509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 23*k**2 - 165*k + 2008. What is z(11)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -30077 and 0.715?\nAnswer: 30077.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, 7, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (17 + -13)*2*(-1)\/8. Are c and -8\/35 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - 5*w - 3. Calculate the remainder when x(7) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.094 * -0.3.\nAnswer: 0.0282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 572619673 and 661?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2. Suppose 0 = -u + 4*h + 8, 3*u = -2*u + 5*h + 10. Let z(g) = 5*g - g + u*g. Determine j(z(v)).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -540 divided by -12\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 835610574701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*r**4 + 149740622*r**2 - 325776458.\nAnswer: -12*r**3 + 299481244*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/9 - 75149*q**2\/3 - 225438*q.\nAnswer: -q*(q + 9)*(q + 225438)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*j**3 + 39*j + 80*j - 248*j - j**2 + 21*j + 6 - 7 as f*j + g*j**3 + o*j**2 + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hiii when four letters picked without replacement from {g: 2, v: 4, i: 4, z: 5, h: 2}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 119348893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -833 - -882. Suppose 56*q = n*q. Solve -6\/7*o + q + 3\/7*o**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -150.12326 to one dp.\nAnswer: -150.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72648 - -28114984\/387. Let o = s + -4\/43. Find r, given that -4\/9*r**2 + o + 2\/9*r**3 - 2\/9*r = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160124 = -75*a + 71*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -35*r**2 + 680*r - 1805. Let w(m) = -3*m**2 + 62*m - 164. Let d(l) = 4*g(l) - 45*w(l). Factor d(i).\nAnswer: -5*(i - 2)*(i + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 1254423?\nAnswer: -1254422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20572816?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 169 by 169.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -514430, -514394, -514358, -514322, -514286, -514250?\nAnswer: -514214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -387 from -0.26.\nAnswer: 386.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133*d**2*t**4 + d**2*t - 5*d*t**2 - 92*d wrt t?\nAnswer: -3192*d**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - 5. Let y be i(5). Let t(d) be the second derivative of -d**3\/6 + 2*d**2 + 3*d. Let b be t(y). Put b, -0.2, 2 in ascending order.\nAnswer: b, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -125 - -15?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 80966 divided by -2211?\nAnswer: -80966\/2211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.32.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/7 - 9*r**3\/7 - 11*r**2\/7 + 9*r\/7 + 10\/7.\nAnswer: (r - 10)*(r - 1)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30 - (-1331)\/(-44)) + 1325\/4 + -2. What is the highest common factor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4134 (base 5) to base 15\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3656046 - -4?\nAnswer: 3656053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -3, -0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d + 5. Let r be x(4). Let k(v) = -v - 3. Let h be k(r). Find the second derivative of l + l + 5*l**3 - h*l**3 wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 37 = -5*m, -3*m + 43 = 3*v + 2*m. Suppose 4*u + y - v = 0, u + u - 8 = 4*y. Let q = 4.3 - 4. What is the nearest to 0.2 in -5, q, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 221688639 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 168, 334, 500, 666?\n\"Answer: 166*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 43540000 and 11.\nAnswer: 43540011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*f**2 - 8*f**2 - 12*f**2 + (-f - f + 4*f)*(-30*f - 11*f + 7*f).\nAnswer: -98*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 - 5*d**2 - 9*d + 7. Let p(w) = -2*w**3 + 3*w**2 + 8*w - 6. Give -7*p(b) - 6*r(b).\nAnswer: 2*b**3 + 9*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.27, -5, -9, -0.3 in decreasing order.\nAnswer: -0.27, -0.3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102 + w - 158 - 1351*w**3 + 3*w + 110 wrt w.\nAnswer: -8106*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1461, 1310, 1149, 978, 797, 606?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 1. Let n(x) = x - 4. Let g(i) = -n(i) + 3*r(i). Suppose -4*j + 132 = 148. Let q(y) = -4*y - 1. Calculate j*q(k) - 7*g(k).\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, g: 6}. Give prob of picking 1 j and 1 g.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c - c - 1)*(20*c - 17*c - 59*c).\nAnswer: 112*c**2 + 56*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1659216*j**2 - 1368269.\nAnswer: -3318432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1626575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25189\/35 + -719. What is the common denominator of m and (33239\/2924 - 4\/34)*-2?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 1. Let z = 7 + v. Suppose 12 = 2*u - z. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 17 + 3 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25695 divided by -300?\nAnswer: 1713\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65\/3 - 24. Let u = 24 - 16. Calculate the common denominator of 18*(0 - (-2)\/u) and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Let l(n) = n**2 + 10*n + 6. Let a be l(-9). Let g be a + -1 + 1 + 0. Put g, q, 3 in ascending order.\nAnswer: g, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1*u)**(-42))**(-3\/8) assuming u is positive.\nAnswer: u**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28774286.\nAnswer: 2, 103, 139681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, -12, -49, -122, -243, -424?\n\"Answer: -2*d**3 + d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaaasaassasas. What is prob of picking 2 s and 2 a?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/104)\/(-1 - 81\/(-84)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**0*v)\/v*v**(-11)\/v)\/(v**(-3))**(2\/11) assuming v is positive.\nAnswer: v**(-115\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1148157335?\nAnswer: 5, 13, 1993, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 9 = -5*a, -24 = 2*i + 3*a + a. Let x be i\/(-9) + (-7)\/(-3). Suppose -42 = x*v - 186. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 197401313 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o = 26*o + 825. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -3. Let a = b - 45. Suppose 0 = 11*p + a*p - 18. Let j(f) = -f. Give j(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -12*n**3 + 2*n**2 - 11*n - 6. Let l be v(-5). Let q be -1 - 399\/4*(5 + l). What is q rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*t + 5*s - 3, 3*t - 2*s - 5 = 0. Suppose -t*n + 4*z = 6, 3*n = 2*z - z - 6. What is the remainder when 53 is divided by n\/11 + 620\/22?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1433 or 1?\nAnswer: -3\/1433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*l**3 + 4\/5*l**2 + 2\/5*l - 4\/5.\nAnswer: -2*(l - 2)*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 625, 642, 659?\n\"Answer: 17*t + 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113 + 112.8. Do -6 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/(-8)*(-208)\/(-8424)*-162.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 5*p**2 - 18*p - 69. Let z be k(-6). Solve 2*g + 4 = z*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*3\/27)\/((-3)\/((-216)\/(-20)))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v = -21*v + 560. Let z = v - -113. Calculate the highest common divisor of 264 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34892 divided by -671?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 308159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3484*-1.8126.\nAnswer: -0.63150984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (14 - -5 - 22) - 39.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 50 = 2*c, c + c = 0. Let q = 6 + 21. Calculate the remainder when q is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -24. Sort s, 3\/4, -2\/7.\nAnswer: -2\/7, 3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-15)*(-15)\/(-27). Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.04 (b) -0.15 (c) -2\/73 (d) -2 (e) -4\/5 (f) 1 (g) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**5\/20 - 5*r**4\/12 - r**3\/6 - r**2\/2 + 9*r. Let s = -97 + 117. Suppose 9*x - 13*x = s. Give c(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1494558 months to millennia.\nAnswer: 0.00001245465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24436012323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -5*z - 10, 11 = -2*n + 5*z - 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-40) + 234\/780?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143 - 27. What is the highest common divisor of h and 522?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -796857, -796982, -797107, -797232?\nAnswer: -797357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 8:00 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.051141 and -2492.\nAnswer: -2492.051141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 4*a**2 + 4*a. Let w be u(4). Let n be w\/12*3 - -665. Suppose x = 4*x - n. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13603 + -448864\/33. Calculate the common denominator of 61\/39 and q.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -555 - -550. Put 3, y, -3, 34 in decreasing order.\nAnswer: 34, 3, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107026952*l**3*y**2*z - 85315*l**2*y**2*z - 27*l**2*y**2 + 4*l*y*z - 2 wrt l.\nAnswer: -642161712*y**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.08481 + -0.0848095345. Round c to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + (-2 - -26) + 13 - -3?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d**(-2)\/d)\/d*d)**(9\/7)*d**(-1\/6)*d\/(d**(1\/3)\/d)*d assuming d is positive.\nAnswer: d**(17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-56 + 54)*(-4 + 9)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1048015 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2749596 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 4)*(8*p + 23*p + 10*p) + 2 + 12*p - 2.\nAnswer: 135*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7830.443 rounded to the nearest ten?\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 54631 times -35.86\nAnswer: -1959067.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 624162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (224\/420)\/(764\/146115).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/9*(-3)\/5\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234 - 184 = 5*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c2 (base 13) in base 7?\nAnswer: -1306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -494.8 + 496.8. Which is the closest to 0.2? (a) 4.6 (b) -0.44 (c) s (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18574778 to the nearest integer?\nAnswer: 4310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(7\/(14\/(-44)))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1. Let i(b) = 40*b + 57. Suppose 0 = -4*q - 177 + 181. Let c(k) = q*i(k) - 5*n(k). Differentiate c(h) wrt h.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.4 - -0.4. Let k = 4.6 - 5. Which is the nearest to -0.1? (a) 0.3 (b) x (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022102212 - 12112022?\nAnswer: 10002220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132 - -103?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (3 - (0 - 1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.36 in 0, -176, 82?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164319 is divided by 2567.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**6\/120 - k**3\/2 + 3*k**2. Let q(r) be the first derivative of h(r). Let j(b) = -3*b + 2*b + 3*b. Calculate q(j(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 64 = -8. Let p be -1 - 6 - (-1 - -1). Let b = o + p. Solve 6 = d + b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**7\/5040 - s**4\/8 + 4*s**2. Let n(z) be the second derivative of a(z). Factor n(x).\nAnswer: x**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**4 + 8*k - 1. Let v(y) = -6*y**4 - 210*y**3 - 792*y**2 + 24*y - 3. Let m(o) = -3*q(o) + v(o). Factor m(n).\nAnswer: -3*n**2*(n + 4)*(n + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48551*p + 48550*p - 4*z = 27, 2*z + 20 = 6*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 530008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 17233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 237.052.\nAnswer: -71.1156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.64845 decades in months?\nAnswer: 6797.814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0.9. Which is bigger: 0.85 or w?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + c - 1. Let u(o) = 12*o**2 + 10*o - 10. Let x(j) = -2*j**2 - j - 1. Let n be x(0). What is n*u(z) + 10*w(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/5331?\nAnswer: -5\/5331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40967*f**3 + f - 40969*f**3 - f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31.81 + 9.29. Let y = o - 41. Let u = 170\/279 - 12\/31. Sort u, 0.4, y.\nAnswer: y, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173 + 173. Which is the nearest to 2? (a) 0.5 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-4 - (1 - 6))) + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(539) + -1)*5)**2 + (0 + sqrt(539) + -3 - sqrt(539) - 6*(1 + sqrt(539))).\nAnswer: -392*sqrt(11) + 13493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -77 (b) 2 (c) 8 (d) 3 (e) 29 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17902 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159545 divided by 1877.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -13. Suppose -6*o + 3*o = -2*m + 1, 3*o - 11 = c*m. Does -5 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8744 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 299*z**3 + 30 + 598 - 1143*z**3 wrt z?\nAnswer: -2532*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2.3 (b) 2\/19 (c) 1\/5 (d) 2\/9 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294 + 37426*n + 294 + 105317*n.\nAnswer: 142743*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.2. Let m(u) = -u + 8. Let c be m(6). Let l(t) = -2*t + 1. Let h be l(c). Put z, 1, h in descending order.\nAnswer: 1, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6 + 2 + 2 - 2*b + 24*b**3. Let o be z(5). Round o to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 60 = -60. Let y(f) be the third derivative of 23*f**4\/24 - f**3\/6 + 3*f**2. Let m be y(2). Calculate the greatest common divisor of m and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206, 234, 288, 380, 522?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 5)*(-5*d**3 + 0*d**3 + 3*d**3) + (-3*d**2 + d**2 + d**2)*(-12 + 11*d + 12) in the form n*d**3 + g*d**2 + u + v*d and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135 and 450?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -20 + 1. Let r = 28 - y. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -309 - -312. Let z(n) = n**3 - 4*n**2 + n - 2. Let x be z(4). What is the second derivative of 3*f**r - 61*f**2 + 16 + 59*f**x - f + 3*f wrt f?\nAnswer: 18*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by 4.\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 9) to base 13\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1886 + 650 = -3*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 1, p: 1, i: 1, c: 1, v: 2}. What is prob of picking 1 i and 1 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8)*2*(-4)\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/2, 3\/4, 0.001?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 761, 0, 3, 2, 10.\nAnswer: -3, -1, 0, 2, 3, 10, 761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*m + 5 + 27, 0 = -3*k - m - 16. Let i be ((-108)\/(-8) + 2)*(-280)\/k. Suppose 124*g = 129*g - i. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6987 at most 202598\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -40*s**4 + 13*s**2 + 8*s. Let p(i) = 27*i**4 - 9*i**2 - 5*i. Let m(h) = 5*c(h) + 8*p(h). What is the third derivative of m(j) wrt j?\nAnswer: 384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from {x: 1, t: 3, j: 11}?\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-38 + 15 + 27) - (-1 - 73)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37427269.5 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from meoooeoe?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -40. Which is the nearest to -3\/2? (a) z (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h - 12 = -4*p, -5*h - 2*p = -62. Suppose 13*j = h*j - 3. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3772 - 1589. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 53. Is (-47205)\/(-60) + (-2)\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 42*n**2 - 132*n + 140. Give x(-45).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 394565*l + 535521 wrt l.\nAnswer: 394565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 245*d**3 - 8*d**2 + 435*d - 8. Let t(w) = 82*w**3 - 3*w**2 + 145*w - 3. Let s(a) = -3*f(a) + 8*t(a). Find the second derivative of s(i) wrt i.\nAnswer: -474*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a microgram in nanograms?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2025 + 3523555?\nAnswer: 3521530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*u**3 - 17 + u**2 + 93*u**3 - 14 - 2*u**4 - 5 wrt u?\nAnswer: -48*u + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3. Let h(q) = 3*q + 20. Let g be h(-6). Let o(l) = -1 + 435*l**2 - 219*l**g - 214*l**2. Determine o(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -59306, -118486, -177654, -236810, -295954?\n\"Answer: 6*m**2 - 59198*m - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 265524 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -14*m + 6408. What are the prime factors of m?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 102, 107, 112, 117, 122?\n\"Answer: 5*b + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.7 (b) -10 (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 722.3752 tonnes?\nAnswer: 722375200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12745 + 57109. Suppose 2*r - 5*h = -12196 + b, 4*r + 5*h - 115316 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5144*k - 54*k**2 - 1704*k - 1716*k - 1725*k.\nAnswer: -54*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 4. Suppose 0*r - 4*r = c. Suppose o - 5*v + 18 - 3 = r, -2*o + 6 = 2*v. Which is greater: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*i - 109*i + 2 - 62*i)*(0*i + 0*i + i - i - i + 4*i + (0*i + 2*i - i)*(3 - 4 + 3)).\nAnswer: -625*i**2 + 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77)*2 - sqrt(77))*-2)\/sqrt(7))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3569 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v + 53. Determine q(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/6670 and -37\/38019.\nAnswer: 380190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 4*r + 13 - 9, 3*u + 2*r = -20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**4\/8 - x**3\/6 + 3*x**2. Let h(r) = -3 - 52*r + 17*r + 19*r + 23*r. Calculate -2*h(p) + 5*m(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 44*f**2 + 154*f + 1269. Calculate y(-41).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10*(117\/6)\/((-15)\/(-44))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(500) + (sqrt(500) - (sqrt(500) + 2)) + -4 + (((sqrt(500) + -2)**2 + sqrt(500))*-1 - sqrt(500)).\nAnswer: -515 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13495320 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - a + 3*a - 7*a - 2*a + a - 4*a + a + 5*a + (2 + 0 - 1)*(-5*a + 4*a + 2*a) - a - a + 0*a + 37*a - 574 + 574)*(-7*a - 8*a + 5*a).\nAnswer: -310*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 26 - 10 - 3*a**3 - 16*a**2 + 13*a**3. Let j(s) = -2*s**3 + 3*s**2 - 3. Suppose 0 = -3*t - 2*i + 9 + 29, -t - i + 11 = 0. Calculate t*j(c) + 3*x(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1759094199 to the nearest integer?\nAnswer: 41942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/27))**(-44)*f**37*f*f**(-1\/5) assuming f is positive.\nAnswer: f**(4663\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 12*m**2 + 5*m + 64. Let w be j(-12). Let d(z) = -z - 3. What is d(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g*z**4 - 14*g*z**2 + 56*g - z**4 wrt z.\nAnswer: -4*g*z**3 - 28*g*z - 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.138954 from -4.\nAnswer: -3.861046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 9:05 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**6\/60 - 7*m**5\/60 - 5*m**3\/6 - 7*m**2. Let c(u) = -2*u**3 + 6*u**2 + 4. Determine 7*c(s) + 6*d(s).\nAnswer: -2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/267 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2217.5 - -57.\nAnswer: 2274.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -26\/59 (b) 4 (c) -2.4 (d) -0.2 (e) 0.4 (f) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.485031 rounded to two decimal places?\nAnswer: 1.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 3:52 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95662?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 79095 (base 13) to base 7\nAnswer: 1603611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 1)*(-6)\/9. Suppose -q + 2 - 1 = -2*f, -4*q + 32 = -f. Let r = q - 5. Solve r*x = v*p - 10, 2*x + 5*p + 9 = -26 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-12) + 9\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/23? (a) 4 (b) -7 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -953 - -4176. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 31*n**2 + 40*n - 178. Calculate j(32).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04784093712 to five dps.\nAnswer: -0.04784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/9 and 2\/109?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94\/1551*22)\/((-1)\/24).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + x - 20. Calculate m(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = -s. Let x be (-2 - -2) + s + -1. Let y = x - -14. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71658989863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20401 - 20391. Calculate the smallest common multiple of 5308 and k.\nAnswer: 26540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -50a7d97 + 3?\nAnswer: -50a7d94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 78191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59681, -59674, -59663, -59648, -59629?\nAnswer: -59606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/9 - 6*r**2 - 160*r\/9 + 184\/3 = 0. What is r?\nAnswer: -23, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/7*(-1 + 0). Let w = -0.05 - -0.15. Let z = -12 - -7. Which is the closest to w? (a) -4 (b) r (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*d - 38*d + 33*d + 25*d + 20*d + 22*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -160. Let r be ((-3)\/(-3))\/(7\/1939). Let s = u + r. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 21 (c) -0.03 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -352, -1172, -2756, -5356, -9224, -14612?\nAnswer: -21772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138 by 1.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 459357 and 20247?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*a - 13 = 5*x, -2*a - 3*x = 19. Suppose 5*g - 3*w + 27 = 0, 8*g + 31 = 3*g + 4*w. Let b = a - g. Is b greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 - 0 - (0 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 - 7*c - 3. Let x be d(-3). Suppose -4*r + 22 + 74 = x. Let v = r - 4. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 51 = -237. Calculate the least common multiple of i and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34005 + (-5)\/(55\/(-154)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*p + 2*p + 14392 = 0, -4*p - 8624 = 3*z. Round z to the nearest one hundred.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1036)\/(-8) - -1*(-1)\/(-2) is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 11:54 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-60)*9*15. Let f be (9\/(-6))\/(y\/12048). Suppose -5*c + 763 = 3*i - 6*c, -4*i = 2*c - f. Is 21 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -646358596 rounded to the nearest 100000?\nAnswer: -646400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26312 is divided by 295?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 83, 27, -0.2, 647 in increasing order.\nAnswer: -1, -0.2, 5, 27, 83, 647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -832579 + 832578.8776049. Let v = p - -46.0255051. Let o = v - 45.9. Round o to 4 decimal places.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 730664.1 months in centuries?\nAnswer: 608.88675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 4*u**2 - 4)*(-u - 2 + 2) - 11*u**3 + 14*u**3 + 18*u**3 + u + 2*u**3 - u - u**3 + 3*u**3 + 0*u**3 to x*u**3 + b + a*u**2 + n*u and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3690 + 8717. What are the prime factors of r?\nAnswer: 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21942*j*r**2 - 2822*j + 9*r**2 + 207*r wrt r.\nAnswer: 43884*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114235 is divided by 446?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 1. Let n be 28*(-2 + 2 + 1). Let l = 70 - n. Calculate the highest common factor of l and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-132)\/5*(78\/(-4) - -2). Suppose 33*k = 26*k + o. What is the remainder when k is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 19*k**2 + 26*k - 22. Let b be m(18). Suppose -125*s + 177 = -b*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1948925 and 984720.\nAnswer: 93548400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3 = 7. Let t be ((-2)\/3)\/(2\/(-6)). Let s(m) = -3 + 6*m + m**2 - m**f + 0 + m**t. Give s(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 5*d + 7. Let z(j) = 1. Let a(y) = m(y) - 3*z(y). Let k be a(-5). Solve -3*n + 0*n = 5*r + 20, 0 = k*r - 2*n - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/42 + (-3 - (-52)\/(-28)). Suppose 0 = 2*g - 0 - 6. Suppose 0 = -a - 4*d + g*d, -a + d = 6. Sort m, a, 2.\nAnswer: m, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -10*f + 5. Let v be z(-5). Let a = 2 - v. Let s = 20 + a. What is s rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/((-648)\/488))\/((-127)\/((-45720)\/(-80))).\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 12) to base 8.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/i**3)\/i))\/(i\/i**19*i*i)*(i**(-6))**(5\/3) assuming i is positive.\nAnswer: i**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 7 (c) 4 (d) 0.84 (e) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00950620867 to five dps.\nAnswer: 0.00951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1874218 - 33?\nAnswer: -1874250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwbbwmzbzzzzm. What is prob of picking 1 z and 1 m?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1557.7, -2\/5, -3\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000044097137 rounded to 7 decimal places?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3040 by 380.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1521 (base 6) to base 8\nAnswer: -631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(19) + -4)**2 + sqrt(1216) + (0 + sqrt(1216) - sqrt(1216)) + 1.\nAnswer: -8*sqrt(19) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 5*i**2 + 11*i - 7. Let l(w) = -w**2 + 23*w - 55. Let y be l(15). Let r = 69 - y. What are the prime factors of d(r)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 - 23*i - 1. Let r be v(-11). Solve -3*u - r = u - 5*c, -u + 3*c + 1 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 413? (a) 2\/5 (b) 1 (c) -16 (d) 5 (e) -94\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*k - 77*k = f - 5, -3*f + 15 = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -355544*i + 162985.\nAnswer: -355544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 8:56 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3443650 and 350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/110 - 0) + (-64)\/(-352). Solve 2\/5*b**3 + 0*b - q*b**4 + 0 + 0*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**8\/336 - 12*b**7\/35 - 271*b**6\/120 + 6*b**5\/5 + 34*b**4\/3 - 8*b**2 - 107*b. Solve p(m) = 0 for m.\nAnswer: -68, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9601704 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l = -4, 3*l = -3*i + 192. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2121.99 - 2121.09007. Let a = -0.8 - 0.1. Let l = a + g. Round l to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/3 + 376*b**2\/3 - 18400*b\/3 + 67712\/3.\nAnswer: -2*(b - 92)**2*(b - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 52 + -50 + 2\/(-4). What is the closest to -5 in 3\/4, f, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, a: 1, o: 3, p: 3}. Give prob of picking 2 p.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -54.353, -1\/2?\nAnswer: -54.353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/30)\/4)\/((44580\/93618)\/(24\/7))?\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 7*j = 17*j - 96. Solve -j*k = -49 + 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5649 - -80439.\nAnswer: 86088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-18))\/((-3)\/4)*-36. Is (474\/v)\/((-2)\/(-16)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4215, -16899, -38039, -67635?\n\"Answer: -4228*x**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtmmmmtmmrmbttmmm. Give prob of sequence mm.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -395367, -790747, -1186127, -1581507?\n\"Answer: -395380*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1344827 (base 9) in base 10?\nAnswer: -738421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-3))\/(8\/24*-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/8 of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 13*f - 26. Let a be d(6). Let w = -9 + a. Calculate the remainder when 39 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -402053453 - -1?\nAnswer: -402053452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24864, -49711, -74554, -99393?\n\"Answer: 2*w**2 - 24853*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9242 + -9195. Suppose 4*d + 183 = 747. What is the greatest common divisor of h and d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01903877 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5406873 * 0.2\nAnswer: 1081374.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1680 and 585270?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 789245.7 rounded to the nearest one hundred?\nAnswer: 789200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a. Let f(v) = -12158*v**2. Give f(c(q)).\nAnswer: -48632*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (42 - -23) + -49 + -25 - ((0 - 0) + -9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 6:45 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 2*z. Let f(p) = 2*p + 1. Let y(x) = -14*x - 6. Let a(o) = -6*f(o) - y(o). Give a(b(w)).\nAnswer: -2*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*i - 82, -2*k + i + 43 = -13. Suppose -k*s - 22 = -32*s. What is the greatest common divisor of 22 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-28))\/(m*m**25)*(m*m**12)**(-33) assuming m is positive.\nAnswer: m**(-482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-4)*20\/(-125))\/(263\/3945)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = k + 2313 - 2315, -3*v + 26*k + 86 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**3\/5 - 78*w**2 + 1177*w\/5 - 786\/5 = 0.\nAnswer: -393, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 0. Suppose 0*j - q*j + 8 = 0, -k = -5*j - 44. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/3, 56, 0, 3, 0.07?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + sqrt(171))**2 + 3) + -4.\nAnswer: -874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2209*n + 889. Let h(z) = -13*z. Let d(b) = 6*h(b) - l(b). Differentiate d(i) with respect to i.\nAnswer: 2131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1392 - 11044 = -118*v + 31058. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 69*y - 154. Let n(k) = 66*k - 157. Let g(h) = 3*n(h) - 2*o(h). What is the derivative of g(p) wrt p?\nAnswer: 4*p + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2878194?\nAnswer: 2, 3, 11, 43609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -52 - 2*i - 18 + 20. Let j be v(-15). Let m = 29 + j. Solve m*u = 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1. Let w(b) = -b**2 + 5*b - 12. Let o(p) = 6*m(p) + w(p). Let x(l) = l**2 - 2*l + 2. Let c be x(3). Determine o(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -263\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.31 * 0.5.\nAnswer: -0.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 0.3, -5041, 2\/711?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 10. Let u(b) = -b + 2. Let o be u(p). Solve 2*f + o*f - 15 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11*n - 77. Let b(w) = -4*w + 28. Let t(l) = 8*b(l) + 3*o(l). Let h = -2 + 5. Calculate t(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 73\/5? (a) 0 (b) 11.1 (c) -0.5 (d) 0.06 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1069, -2054, -2951, -3760?\nAnswer: -4481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -917775 divided by 61185.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1048137*k**2*l**3 - 12*k**2*l + 2*k**2 - k*l**2 - 162*l**2 wrt l?\nAnswer: -6288822*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a hour in seconds?\nAnswer: 41040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from qmasc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 2:47 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10445, -9312, -7423, -4778, -1377?\n\"Answer: 378*m**2 - m - 10822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 12:17 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 8. Let c be 1 - (-4 + (1 - f)). Solve 4 + 5 = -c*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 - 149. What is the units digit of 21658\/42 - 1\/g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -431*t**6*u - 41*t**6 - t**2*u + 311*t**2 + 4*t*u + 4*t wrt t.\nAnswer: -51720*t**3*u - 4920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 19. Solve 5 = 3*c - p + 15, 0 = -3*c - z*p - 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f + 5. Suppose -3 = -2*o - 9. Let c be -2 + (-12)\/o + -8. Is f bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1440 + 1442. Sort h, 0.08, -10, 1\/3 in increasing order.\nAnswer: -10, 0.08, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*1792\/(-1536)*6\/(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l = 14*l - 6*l + 63*l - 546 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*y + 969*y + 185*y + 118482 = 0 for y.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**2*x**2 + 2*q**2 + 25190032*q*x - 10941070*x**2 wrt x?\nAnswer: -4*q**2 - 21882140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 5*u**2 - u - 28. Let q be h(6). What is the second derivative of -54 - s + 25 + 65*s**q - 34 wrt s?\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747066?\nAnswer: 2, 3, 89, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 14*p - 19*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 - 34*i**2 - 43*i - 24. Is b(-59) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -13. Calculate the remainder when 37 is divided by 9 - (1 - 1 - a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1004 - 937) + (-42 - 0).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*j - 4*j + 378 = 0, -2*u + 5*j + 378 = 0. What is the remainder when u is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2 + 1) - 4\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(-1))*g)**(-2\/5)*g**(-13)\/g*g**(11\/3)\/g)**(-5\/7))**50 assuming g is positive.\nAnswer: g**(1300\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51474, -51423, -51386, -51369, -51378, -51419?\n\"Answer: -j**3 - j**2 + 61*j - 51533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6464739\/8 + 808095. Factor -9\/4 - 3\/8*z**3 + 0*z**2 + h*z.\nAnswer: -3*(z - 2)*(z - 1)*(z + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -3*l**4\/8 - 5*l**3\/6 - 867*l**2. Let z(n) = -3*n - 2. Calculate -4*v(s) + 11*z(s).\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 5441?\nAnswer: 1\/5441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**2*r**3 + 3*i**2*r + 3*i*r + 2*r**3 - 13*r**2 wrt r?\nAnswer: -6*i**2*r + 12*r - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55505*b**2*n**3 - 479*b**2*n**2*z - 2*b**2*n + 2*b*n**2*z**3 - 7*b*n*z**3 - 5*n**3*z**3 + n**2 - n*z**3 wrt n?\nAnswer: -333030*b**2 - 30*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133438451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Does -23942 = -23958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 0.19, -1844, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 4*o - 3*c, 292*o - 5*c - 56 = 295*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4531*k**3 + k**2. Let n be h(4). Round n to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13c (base 14) to base 12.\nAnswer: -18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38 + 233*n - 329*n**2 + 41 - 230*n - 1713*n**4 wrt n?\nAnswer: -41112*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3875 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*b**3 - 62*b**3 + 28*b**3 - 27*b**3 - 7 as z*b + w + i*b**3 + j*b**2 and give i.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 32*j**3 + j**2 + j - 5. Let f(d) = d**3 + d - 2. Calculate -2*f(w) + x(w).\nAnswer: 30*w**3 + w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**5\/20 - v**4\/8 + v**3\/4 + v**2\/2 - 19*v + 17. Let j(f) be the first derivative of q(f). Determine w, given that j(w) = 0.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 0*r**4 - 7\/30*r**5 - 1\/24*r**6 + 0 + 0*r + 0*r**3 - 11*r**2. Find the third derivative of y(c) wrt c.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10122012 (base 3) in base 10?\nAnswer: -2651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16418571.\nAnswer: 3, 13, 197, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2667, 5290, 9753, 16062, 24223, 34242, 46125, 59878?\nAnswer: 75507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 = 1354\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -20 + 13 + -39 + -2 - (1 - 11)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 1:08 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3*t + 450, 4*u + 4*t - 1669 = 99. Suppose 4*y - 10*y + u = 0. Let d = y + -72. Let b(j) = -2*j**2 - 8*j. Let a(w) = -w. Give d*b(n) - 6*a(n).\nAnswer: -2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117692715 and 7846181?\nAnswer: 117692715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-9) - (-1640)\/(-7245). Let a = k + -1\/23. Is 1 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7904992*c**3 - 3952485*c**3 - 3952486*c**3.\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10053, 40162, 90335, 160566, 250849, 361178?\nAnswer: 491547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - p = 7217, 0*i - 7213 = -5*i - p. List the prime factors of i.\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -3005*k**6\/6 + 3989*k**3\/3 - 1933. What is the third derivative of u(c) wrt c?\nAnswer: -180300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l - 4. Let h(p) = p - 1. Suppose 0*q + 12 = 5*u + 2*q, -5*u + 2*q + 8 = 0. Let j = u - 1. Let x be (15\/6)\/((-11)\/22). What is j*k(f) + x*h(f)?\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6579, 13160, 19731, 26286, 32819, 39324, 45795?\n\"Answer: -m**3 + m**2 + 6585*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 times -7.8?\nAnswer: 483.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6264)\/12*(-168)\/16.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 2*v**2 + 2. Calculate l(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/12*3)\/(((-37)\/(-888))\/(9\/(-27)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1020*d**2 + 282*d**2 - 4*d + 4*d.\nAnswer: -738*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:04 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 6*u + 4 - 3)*(18*u**3 + 1 + 9*u**3 - 9).\nAnswer: -54*u**4 + 27*u**3 + 16*u - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78864, -157724, -236586, -315450, -394316, -473184?\nAnswer: -552054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 12*i + 18. Let m be y(-13). Suppose -2*s = 2*n - 2 - 6, 0 = -m*n + 15. Which is smaller: -2\/27 or s?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43292\/(-548) + (2 - -68)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -201791 and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 155028 divided by -38757?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 0*z**4 - 2 + 3\/2*z**2 + 0*z + 0*z**3 + 1\/30*z**5. Let j(u) be the second derivative of b(u). Let l(i) = 2*i. Give j(l(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 + 2*l + 7789. Let m(x) = -x**2 + 7*x. Let s be m(7). Is r(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**2. Let f(m) = 13366*m. Determine c(f(d)).\nAnswer: 1071899736*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:36 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 12:33 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*y + 6*y - 8, -3*y + o = -6. Solve -3\/5*h**y + 3\/5 + 0*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 735 + -603. What is the greatest common factor of 297 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130 + -48. Let m = y - 71. What is the third derivative of -240*d**5 - m*d**2 + 8*d**2 + 242*d**5 - 18*d**2 wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-30) + 86\/12)*40. Suppose -s*t + 304*t = 20. What is the third smallest value in -5, 3, -3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 - 3*m. Let v(c) = c**2 + c + 1. Let h(q) = -r(q) - 3*v(q). Let l be h(-9). Let k be -3 + 18*l\/(-9). What is k rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-720)\/(-360))\/(2*(-2)\/(-134)). What is the greatest common divisor of b and 13869?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 11*a + 1. Let s(t) = 3*t**2 + 6*t - 13*t**2 - 4 + 4*t**2 + 3*t**3 - 2*t**3. Let i be s(5). What is the tens digit of f(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 198\/(-12)*(-66)\/363. Solve 2*x - 5*w = -3, -5*x - r*w + 15 = 38 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3335 * 0.0303.\nAnswer: 101.0505","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23190655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 11*q**2 - 6*q - 8. Let a be (0 + 1)\/(2\/(-8)). Let u be t(a). What is the highest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-18)*1\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 266010164 less than 116?\nAnswer: -266010048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 32580103+1268.2\nAnswer: 32581371.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 574747?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - w**2 - w. Let k(p) = 20*p**3 + 6*p**2 + 4*p. What is 6*d(i) + k(i)?\nAnswer: 14*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21333110310 - -20?\nAnswer: -21333110230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0177326 and -9?\nAnswer: 0.1595934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 - -48. Let x(k) = -k**3 + 6*k**2 + 6*k - 8. Let t be x(7). Let c = u - t. Solve c*h + 12 = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11892939 not equal to 11892939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 - 1)*(1 - 2*j - 1)*(16 - 16 + 6*j**2) + j**3 - 2*j**3 + 0*j**3 as l*j**3 + i*j**2 + t*j + f and give l.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3204 divided by 446?\nAnswer: -1602\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -835572 + 22554614\/27. Let a = q + 216. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(4*w**2 - 4*w**2 + 4*w**2)*(3*w - 4*w + 0*w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 343789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t + 5. Let m be -3 - 4*(t + -3). Let o(g) = g**2 - g**2 + g**3 + 1 - 829*g - 4*g**2 + 825*g. What is o(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by ((-85)\/20 + 4)*-136.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**2 + 5*p**2 - 3 - 4*p - p**3 - 5*p**2. Determine j(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 367 + -602. Let k = h + 345. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 336*v**3 - 890511*v**2 + 591960474*v - 2546728695 = 0.\nAnswer: 485\/112, 1323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2.9. Let u = t + -0.3. Let v = -0.16 - u. Round v to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-510)\/(-3315) - 276\/442\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-268)\/(-52) + (-2)\/13. Does 9 divide 27\/o*20\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 5:56 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbbbbbbdbbb. Give prob of picking 4 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -b?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -79\/81353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3615 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48? (a) 0 (b) -3\/83 (c) -0.01 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Solve -n + 5 - 1 = z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 293322 and 16.\nAnswer: 2346576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ac (base 15) to base 3\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 59*g**3 + 948*g**2 + 45*g - 303. Calculate r(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00127 to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2 + 515*w - 59826 = 0.\nAnswer: 177, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 36 = -0*u. Find the common denominator of 61\/10 and (598\/(-20) - 3) + u\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(12) - (sqrt(825)\/sqrt(11))**2.\nAnswer: -75 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -47\/5*l**5 - 31\/2*l**2 + 0*l**3 + 0*l**4 - 22 + 0*l. Find the second derivative of j(z) wrt z.\nAnswer: -564*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/10 (b) -1 (c) 0.7 (d) -270 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -662 + 104. Let p = o - -571.56. Round p to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 greater than or equal to 168\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.24, 0.5166, -5, 2\/9, -2\/5 in increasing order.\nAnswer: -5, -2\/5, 2\/9, 0.24, 0.5166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-6*sqrt(2160)*-1 + sqrt(2160)))\/(sqrt(192)*-5 + (sqrt(144)*3)\/sqrt(12)).\nAnswer: 168*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**4*(k\/k**5*k)\/k*(((k*k**0\/k)\/k)\/k)**(1\/26)*((k\/(k**(1\/5)\/k))\/((k*k**1*k*k)\/k*k))**(6\/13) assuming k is positive.\nAnswer: k**(-71\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -830, -736, -656, -596, -562, -560, -596?\n\"Answer: -b**3 - b**2 + 104*b - 932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -128986 or -2966652\/23?\nAnswer: -2966652\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - r**2 - 7*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01928338 to 3 decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9271, -9310, -9419, -9634, -9991, -10526, -11275, -12274?\n\"Answer: -6*j**3 + j**2 - 9266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-1 - -6) + 199*(-14)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (638\/(-957))\/((-2)\/36)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 2*w + 31. Let n be a(0). Let f = n - 26. Let z(q) = -4*q - 12*q + 15*q - f. Determine z(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1911827*q + 13098 = 1911716*q for q.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 58 = n + 61, -4*d - 2*n + 98 = 0. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, o: 8}. Give prob of picking 2 o and 1 v.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 4*z = -20*i - 32, -34*i + 7*i - 5*z + 10 = -22*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -5 - (-1 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154\/2 + 8\/2 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*l - g + 4491 = -2*g, 0*l + 0*l + 4*g = l - 36 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 69, -153, -567, -1233, -2211, -3561?\nAnswer: -5343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + (131 + -86 - 17)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/17, 0.1, 1, -10, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -376 + 798?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2. Let o(w) = -19*w - 69. Give d(o(s)).\nAnswer: -722*s**2 - 5244*s - 9522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001 (base 3) in base 15?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8198*q + 1834*q = 1642*q - 713150 for q.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-4)*(-64)\/(-480).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + t - 4 + (-2 + 1 - 1)*(2 + 3*t - 2) + (3 - 2 + 3)*(-2 + 2 + t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 788552 and 4908.\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - d + 1. Suppose 3*h + 0 = 3. Let b be o(h). Solve b*k = 4*p, -4*k + 4 = -k - 4*p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/28*(-3)\/6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4*f + 4, 3*o + f = 2 + 6. Let r be (6\/o)\/1*2. Sort 5, -3, r in ascending order.\nAnswer: -3, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7948 + 8038. Calculate the greatest common factor of f and 3546.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 63. Let z(f) = f**2 - f - 1. Let r be z(-1). Is 4 a factor of (r*3)\/(u\/80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/35 - -33\/70. Sort j, 2, 1 in ascending order.\nAnswer: j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.147 rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98216*r**3 - 4693532*r**2 + 4693532*r**2.\nAnswer: 98216*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/360 and 51\/440?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttptvttttttttttvtttv. What is prob of picking 2 v?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000018255899 to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*h**5 - 176*h**4 + 732*h**3 - 1128*h**2 + 400*h + 288 = 0. What is h?\nAnswer: -1\/3, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 70 in 1\/5, -3\/5, 0.1, -0.1119?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4733*b - 13863. Determine n(3).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 9, -5*x + 4*c + 1292 = -9*x. What is x rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 + (481 - 3)*11)*3. What is j rounded to the nearest one hundred?\nAnswer: 15800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, y: 5, m: 5, f: 1, g: 7}. What is prob of sequence ym?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 233351290.93?\nAnswer: 233351290.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 2, -3, 7 in increasing order.\nAnswer: -3, -2, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*x, 55*x - 57*x = 0. Suppose m + 4 = 2. What is the nearest to m in l, 2\/7, 32?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 17*a + 1. Calculate p(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 124427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/140 + (68\/(-6))\/((-480)\/9)?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62716 is divided by 2984.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 924*q + 21314. Give p(-22).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**3\/2 - 718407*g**2\/2 + 1436811*g\/2 - 718405\/2 = 0.\nAnswer: 1, 718405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.5, 2\/3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -726015151 - 3.436?\nAnswer: -726015154.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1404 and 1.3.\nAnswer: -1402.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18653\/5 + -142206\/35. Let m = b + 333. What is the second biggest value in m, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 + 2*h**2 + 4*h**2 + (-h + 3*h - h)*(-h + 2*h - 2*h) - 2*h**2 + 5*h**2 + 0*h**2 + 6*h**2 + 0*h**2 - 4*h**2.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y. Let g be i(-1). Suppose 0 = -6*s + g*s + 8. Suppose -q - 2*r = 2 + s, 14 = 4*q + 2*r. What is the highest common factor of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 3:39 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 377 and 17134.\nAnswer: 496886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -4*q - 499 + 252 + 251, -16*k = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-17)*(-2)\/(-8)*2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4085, -0.5, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3+-72837232\nAnswer: -72837235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/23*(3542\/(-44))\/(-7)*(-6)\/1122.\nAnswer: -1\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3)*h*h*h\/(h*h**(-17)) assuming h is positive.\nAnswer: h**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 11*j = -561. What is the remainder when 167 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, 655, 2931, 7349, 14623, 25467, 40595, 60721?\nAnswer: 86559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1575 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -100111101100110110110 (base 2) to base 14\nAnswer: -25c14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 52736337429?\nAnswer: -52736337428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 434\/1703 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 smaller than -197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 78588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -125, -3, 1\/5, -2\/147.\nAnswer: -125, -3, -2\/147, 1\/5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 6*d**2 - 2*d + 2. Suppose -5*s + 4*r + 38 = 0, 4*r + 15 = 4*s - 17. What is z(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, -129, 42 in descending order.\nAnswer: 42, -61, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.288 rounded to two dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k = 11*k + 4. Calculate the smallest common multiple of k and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, -1483, -1\/5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 p when four letters picked without replacement from {i: 9, b: 3, p: 4}?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 2*o - 19, v + 30 = 5*o + 7 + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h**2 - h + 4. Let q be b(2). Is (-82)\/q + 3 + 28641\/13 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10867 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiioiiioiioiioiiiii.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 15 = -24*u - 18*u + 5*q, 0 = -4*u - 4*q + 3 + 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.30113 centuries to months.\nAnswer: 63961.356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**4\/a*a*a*a**(3\/5)*a*(a\/a**3*a)**(-26\/5) assuming a is positive.\nAnswer: a**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 11*d**2 - 12*d - 32. Let f be y(9). Sort 0, -3, -2, f in ascending order.\nAnswer: -3, -2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6725 + -6725.2. What is the closest to 6 in -11, 0, 0.2, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(-61 + 61 + 10*o)*(4 - 5 - 21) + (6*o - 2*o - 2*o)*(3 - 4 + 0).\nAnswer: -222*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123472, -246635, -369798, -492961, -616124?\nAnswer: -739287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeg when three letters picked without replacement from {e: 3, p: 1, u: 2, g: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.32692 - 1.22692. Let p = -7 - -6.84. Which is the biggest value? (a) p (b) -0.05 (c) t (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -135\/7 (c) -2 (d) -4 (e) 3 (f) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*i**6*k + 151*i**4*o - 3*i**2 - 83*i*k - 10*k - 2*o wrt i.\nAnswer: -2160*i**3*k + 3624*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/(-2100))\/(10\/(-150))*(-5)\/21.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 108 in -3, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - v)*(6 - 6 - 1) + 2 - 2 - 2*v + (-3*v + 4*v - 3*v)*(2 - 2 + 2) + 3*v + v - 7*v as s + a*v and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2287780 is divided by 469.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/17 and 56\/3.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 27 = -19. Let l(k) = 112*k**3 - 5*k**2 + 9*k - 12. List the prime factors of l(o).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6507 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24 - -1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1530\/595 - 6674\/1316.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, x: 5, g: 3}. What is prob of sequence xxxg?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 - -116. Suppose 7*g - 10*g = -b. What is the highest common divisor of g and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3208354?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23946*i**3 + 11*i**2 + 2*i - 542402 wrt i?\nAnswer: 71838*i**2 + 22*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/10)\/(5\/25). Let c = 49 + 7. Calculate the common denominator of 69\/2 and 436\/r*(-6)\/c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 193.97 - 196. Let l = 0.03 + s. Sort 4, l, -1\/2 in descending order.\nAnswer: 4, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*s**5 + 2*s**3 + 1224*s**2 + 5882*s wrt s?\nAnswer: -60*s**3 + 12*s + 2448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200 - -113001?\nAnswer: 112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1499585, -1500514, -1501445, -1502378, -1503313, -1504250, -1505189?\nAnswer: -1506130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 80 = i. Let h = i - -141. Does 29 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, a: 4, w: 1, k: 3}. Give prob of picking 2 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35211301?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 15*y**2 - 13*y - 9. Let r(x) = 17*x**2 - 13*x - 9. Let g(q) = -8*r(q) + 9*u(q). What is g(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 4\/5, -75?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 3, 117, 3\/5?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0329027 micrometers in meters?\nAnswer: 0.0000000329027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 1. Let x(c) = 29*c + 2. Give x(o) + 2*z(o).\nAnswer: 31*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*g - 27*g - 50*g + 2*g**2 to the form j + v*g**2 + c*g and give c.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/35 in -0.04, 140, -3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -2*n - 257717 - 78371. List the prime factors of n.\nAnswer: 43, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 934*x - 8712 = 736*x for x.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 147, 404, 837, 1488, 2399, 3612?\nAnswer: 5169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 740 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 - (2 + 1))*72\/14. Let r be c\/(3*-1)*(-30)\/40. Suppose -17*y + r*y = -32. Solve -5 = 3*m + y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 15*z = -200. Let k(j) = j - 22. Let i be k(z). Let r(d) = -d**2 + 2*d + 5. Let f be r(i). Calculate the greatest common factor of 5 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.48 + -19.52. Which is bigger: u or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 2*t**3\/27 + 2*t**2\/9 - 10*t\/3 + 13124. Factor m(f).\nAnswer: 2*(f - 3)*(f + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*n + l, -5*n - l + 5*l - 4 = 0. Let s = 56 - 55. Which is the nearest to s? (a) n (b) -0.2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-27))\/(10\/15))\/(228\/(-72)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7579 at most 7579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 171170*r**5 - 10*r**3*x - r**2*x - r**2 - 7*r + 255*x wrt r?\nAnswer: 10270200*r**2 - 60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 1. Let z be u(-3). Let w(c) = 20*c**2 - 35*c + 2. Let i be w(2). Solve 2*r + g - 11 = -r, 0 = -4*r + z*g - i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - 0.3. Let q = 3 + -3. Let w = 0.01 + -3.01. Which is the smallest value? (a) w (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539362 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (2 - (6 - -2)) + 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549464?\nAnswer: 2, 68683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2590)\/(-148) + (-2)\/4\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(0*u - u + 0*u) + 1 - 1 + u - 9 + 12 + 18*u - 5.\nAnswer: 21*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101720.4470258 less than -13?\nAnswer: -101733.4470258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 516 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258504, 516888, 775248, 1033572, 1291848, 1550064?\nAnswer: 1808208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2167172 to the power of 1\/2, to the nearest integer?\nAnswer: 1472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 57*p + 5 + 57*p)*(-19*p**2 + 43*p - 43*p).\nAnswer: -57*p**4 - 95*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -3\/4 (c) -0.0333\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 24*w**2 - 2*w - 1. Let c be r(-3). Suppose 5*v = 2*t - 83, -5*t - 3*v = -2*v - c. Let g = t - 19. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*c**2*f**2 + 5*c**2*f*p**2 + 6*c**2*p**2 - c*f**5 - 4*f**2*p**2 wrt f.\nAnswer: 22*c**2 - 20*c*f**3 - 8*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12153349 a multiple of 921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66*m**2 - 466357*m + 932978.\nAnswer: -(m - 2)*(66*m + 466489)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/11)\/((q**4\/q)\/q*q) assuming q is positive.\nAnswer: q**(-31\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 164.8915507 - -161.1084632. Let d = -811 + 1137. Let y = d - c. What is y rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -36. Calculate the greatest common divisor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3720864, -3720870, -3720876, -3720882, -3720888, -3720894?\n\"Answer: -6*s - 3720858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14103 + 27819 = -381*b for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 2321 - 2330. Let x(o) = o**2 + 13*o - 5. Let k(b) = -b**2 - 12*b + 6. Let j(i) = -5*k(i) - 4*x(i). Give j(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 + 45. Let s(a) be the third derivative of 1\/12*a**4 + x*a**2 + 0 + 0*a**3 + 0*a. Let c(y) = -4*y**2. Calculate s(c(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 + 4)*(-14*b**2 + 14*b**2 - b**3)*(126 - 120 - 8*b + 10*b) in the form c + m*b**4 + w*b + q*b**3 + t*b**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 107, 551, 1329, 2441, 3887, 5667?\n\"Answer: 167*s**2 - 57*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millimeter in micrometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6652 + 7420. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*q**3 + 35295*q**2 - 563080*q + 59925 = 0. What is q?\nAnswer: 3\/28, 17, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 283986 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.27 - 14.27. Which is the third biggest value? (a) q (b) 3\/7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3297650, -6595293, -9892936, -13190579, -16488222, -19785865?\n\"Answer: -3297643*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 0 + 1\/2*c**4 + 2\/5*c**5 - 4\/3*c**3 + 1\/15*c**6 - 4*c**2 - 5*c. Factor h(v).\nAnswer: 2*(v - 1)*(v + 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Let c = 41 - -59. Suppose -i = 5*p - 64 - 55, 4*p + 2*i - c = d. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, d: 5}. What is prob of sequence dg?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334156?\nAnswer: 2, 139, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q + 3 = 0. Let h be (-52)\/(-12) - 2\/q. Let g = h - 1. Solve y = 5 - g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417336277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 4*p**2 + 6*p. Let b be c(-5). Suppose -3*u - 2*u + 65 = 0. Let x = b + u. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2715*f**2 + 5387*f**2 - 2676*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 111818 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2. Let q be s(1). Let a be (1\/(-3))\/(3\/(-54)). Solve -a*z = -q*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/63)\/(4\/6)*-1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 - (-22 - (-41 + 34)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/10 - -1)\/(2\/4). Suppose -4*t = n - 11. Suppose t*m - q + 0 = -2, 3*m - 5*q = -17. Let y(d) = -23*d**2 + d - 1. Calculate y(m).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 3*j - 6 - 2*j + 4*j. What is the units digit of x(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 2*h**3\/3 + 2*h**2 + 9. Suppose 10*u - 7*u + 2*o + 15 = 0, u = o. What is f(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 506534280*y**4 - 2*y**2 - 90790329*y.\nAnswer: 12156822720*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -1250?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1312 - 1309. Let i(o) = -60*o. Let s be i(-5). Suppose -s = -f*z - 3*z. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9426, 19401, 29926, 41007, 52650, 64861?\nAnswer: 77646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4197.61 rounded to the nearest ten?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-2)\/3))\/((-6)\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a0 - 163515?\nAnswer: -163805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 52547 (b) 2 (c) -3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y - 5*y - y + 5*y**2.\nAnswer: 5*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 15, 2*y = 5*f + 122 - 505. Let w = y - -301. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1097 divided by -6\nAnswer: -1097\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0111 + 694.0111. Let u = -697 + o. Let y = 2 + -2.1. What is the closest to 1\/5 in y, 1\/3, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215772171383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 26 = r, -r + 0*o - 5*o + 38 = 0. Let v = r - 23. Solve 0 = -v*a + 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -20, 4*b - 4*t - 17 = 7. Suppose -4*h - 5*y = -h - 40, -y = -b. What is the lowest common multiple of h and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 234*t**4 - 15750*t - 13844430 wrt t.\nAnswer: 936*t**3 - 15750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10839 + -7669. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 7:09 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2099205*q**2 - 286878*q - 24.\nAnswer: -4198410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**3 + q**3 - 2*q**3 + (-70*q - 134 - q + 136)*(-3*q**2 + 2*q**2 + 2*q**2).\nAnswer: -69*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 67 + 143 = -9*b for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16223 - 178342\/11. Suppose -3*f + 11 + 22 = 0. Which is greater: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, -22, 13, -149 in increasing order.\nAnswer: -149, -22, -9, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/21 + 4669702*b\/21 - 667100\/3 = 0.\nAnswer: 1, 2334850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 6*a - 4. Let p be n(6). Let k be -1 + 4 + p - -2. Suppose x - 7 = -k. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 9*u**2 - 6*u - 7. Suppose 0 = c + 1 + 5. Let l(k) = -8*k**2 + 5*k + 6. Calculate c*f(t) - 7*l(t).\nAnswer: 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 580.00543 + -580. Round s to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28330 divided by 1\nAnswer: 28330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 17. Solve -4*l + 3*l**2 - 6*l**3 - 8*l**2 - q*l**2 + 2*l**4 + 2*l**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**2 + 4*t**3 - 16*t - t**3 - 2*t**2 + 31*t in the form y*t + p*t**2 + k + r*t**3 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 + 18*c - 7. Calculate the least common multiple of ((-2070)\/24 - 4\/(-16))\/(-1) and x(5).\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**2 + 4*h + 2. Suppose 0 = 2*d - 5*d - 3*l + 30, 0 = 2*d + 4*l - 22. Let a be 3\/d + (-7)\/3. Give t(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 51*f**2 - 909*f - 76. Determine d(18).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1723 + -1727. Put x, -154, 4 in decreasing order.\nAnswer: 4, x, -154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22036204?\nAnswer: 2, 5509051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 11 + 4. Let i be o\/(-6) - 1*-3. Which is the closest to i? (a) 4 (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 6. Let r(p) = p**2 - 43*p - 3. Let w be r(0). Let u(j) = -1. Calculate w*u(b) + q(b).\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**2*w**2 + 146527*k**2*w - 553*k*w - 90401292*w**3 wrt w?\nAnswer: -4*k**2 - 542407752*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 17, u: 1}. Give prob of picking 3 t and 1 u.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 5*c + 1. Suppose 0*q = q + 5. Let w be z(q). Let o = 1 - w. Solve o = 5*p + 12 + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/(-8)*-3370 - (-5 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 728 and 52822.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1026 divided by -18\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*(3 + 3*sqrt(112) + -4 + (-4 + (sqrt(112) - (sqrt(112) - (-1 + sqrt(112)) - sqrt(112))))*5)*-5)**2.\nAnswer: -2433600*sqrt(7) + 17643600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -3.301\nAnswer: 9.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 + -15. Suppose 2*c + p = h + 52, c - 3*p = 64. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 - 131*b**2 - 145*b**2 + 279*b**2 - 327)*(-2 + 2 - 3).\nAnswer: -9*b**2 + 1179","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14537 is divided by 3586?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/14 + 59\/(-413) + (-16)\/(-42). Let z = -5.3 + 5. Which is the nearest to -0.1? (a) z (b) j (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26756341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1099 divide 233028663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1095057 and 58\/63.\nAnswer: 7665399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439117 is divided by 19089?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4699\/185 - 13)\/(8\/15) + -11.\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 549. Let b(k) = 22*k**2 + k + 181. Determine b(h(m)).\nAnswer: 22*m**2 - 24157*m + 6631552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, a: 1, g: 1, l: 2, q: 1}. Give prob of sequence gll.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 3*m**2 - 6*m - 6. Let r be g(-4). Suppose 0 = -r*x + 9 - 7. Suppose x = 2*f - 5. Solve -2*c + 24 = -5*j, 7 + f = 5*c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 196 = 2*w - 99, -r + 37 = 4*w. Calculate the remainder when 434 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.05, -2, -1\/224?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(267 + 371 - 912)*(0*r - 3*r + r).\nAnswer: -1096*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxlxnxnnxnxxl. What is prob of picking 2 x and 1 l?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -295, -1060, -2225, -3706, -5419, -7280, -9205, -11110?\n\"Answer: 14*i**3 - 284*i**2 - 11*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -47, -153, -335, -617, -1023?\n\"Answer: -4*f**3 - 14*f**2 - 36*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3820*y**4 + y**3 + 22294*y**2?\nAnswer: -91680*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.8 - 18. Let x = w - 2.8. What is the third biggest value in x, 4, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**32\/w**(-22) assuming w is positive.\nAnswer: w**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 6*f - 4*f - 1155, -3*f - 2*k + 1725 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -15668*j + 391714. Give n(25).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 - -2.2. Let j = 0 - 0.1. What is the nearest to r in 4\/5, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 12:07 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 302869 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(190) + sqrt(190)*-1 + sqrt(190) + sqrt(190)) + sqrt(190))\/sqrt(10) - (sqrt(57)\/(2*sqrt(3)) + sqrt(19) - (sqrt(1539) + (sqrt(1539)*-2)**2)).\nAnswer: -7*sqrt(19)\/2 + 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 1, e: 2, z: 2}. What is prob of sequence zc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (-4 + (sqrt(147) - 1*sqrt(147)))) + -3)**2 + 5 + sqrt(147) + (-2*sqrt(147)*6)**2.\nAnswer: 21*sqrt(3) + 21321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-149) - 6318691\/(-1302707). Let -12\/7*r + 6\/7*r**3 + m*r**2 + 0 = 0. What is r?\nAnswer: -6, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 100306, 201258, 302210, 403162, 504114, 605066?\n\"Answer: 100952*a - 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -75094379 or -75094378?\nAnswer: -75094378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 924\/2310*-45*(5\/(-20))\/(1\/1)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + 1*(sqrt(66) + -5*sqrt(66)) + sqrt(66))\/sqrt(2))\/((sqrt(1200)*1)\/sqrt(4)).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7771 by -804.\nAnswer: -7771\/804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-6)*(2 - -100)\/(-3). Let y = -36 - -110. What is the derivative of -156 + 0*j + 71 + y + u*j wrt j?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + b - 5. Suppose 0 = -3*y + 4*y - 5. Let q(d) = -d**2 + d - 7. Let z(c) = y*q(c) - 7*n(c). Calculate z(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 13*c**2 - 4*c + 1. Let v(f) = -26*f**2 + 8*f - 2. Determine 9*d(y) + 4*v(y).\nAnswer: 13*y**2 - 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/173 or 0?\nAnswer: 8\/173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (sqrt(99) - (sqrt(99) - (sqrt(99)*2 - sqrt(99)))))\/sqrt(3))\/(2*sqrt(108)) + (-5*(sqrt(11) + 1 + sqrt(11) + 5) + 4)*-3.\nAnswer: 78 + 181*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214880 is divided by 1513?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8)*(-3)\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g + 1 - 6 + 2*g. Let t be p(-7). Factor 18*f - 4*f**t - 8 - 6*f + 0*f.\nAnswer: -4*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608072?\nAnswer: 2, 29, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 6*d**2 + 6*d + 2. Let f be q(-4). Let o be (-25)\/f*(-8)\/70. What is the third biggest value in 0.1, o, 1.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130\/(-26)*1\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpjb when four letters picked without replacement from tbtmtpmbmbjmbb.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18243959\/24600 - 5933\/8. Let t = 2392505200789\/6150 + -389025238. Let i = t + y. Find the common denominator of -83\/4 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 8:51 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*d**4 + d**3 + 6*d**2 + 167*d + 993293?\nAnswer: -36*d**3 + 3*d**2 + 12*d + 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + v**2 + 5*v - 1. Calculate o(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1328785731?\nAnswer: 3, 7, 13, 1622449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 10. Let a be k(13). Let l(c) = c**3 + 7*c**2 + c. Let p be l(a). Calculate the greatest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 835 = -4*t. Let l = -117 + t. Let x = 70 - l. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.07, 1, 3, -8, -13\/4, -0.5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-14))*p\/p**(2\/11))**(1\/3) assuming p is positive.\nAnswer: p**(163\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3*7\/((-98)\/(-21))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-13)*w**(-9)*(w\/(w**(-16)\/w*w))\/w**(-2\/31) assuming w is positive.\nAnswer: w**(-153\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-7 + 10) - (1 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 5*k + 20, 0 = -7*z + 2*z + 3*k + 20. Let w(m) = -2*m. Let p be (-6 + -2)*(-39)\/6. Let a(n) = 18*n. Let j(f) = p*w(f) + 6*a(f). Determine j(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 2*x. Let j be i(0). Suppose j = -4*u - 17 + 37. Suppose u*k - 2*k + 0*k = 0. Solve k = -0*g + g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 28. Let o be (-10)\/m - (-215)\/3. Suppose -t + o = 3*t. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 29*m = 760. What is the highest common divisor of 2071 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4741 or -1093?\nAnswer: -1093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 120325606 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -256 (b) -0.3 (c) 5 (d) -5 (e) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 15) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 210*w**3 - 348*w**3 - 41*w + 12*w wrt w.\nAnswer: -828*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -8*h + 2. What is l(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, 1, 23, 45, 67?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 51.011?\nAnswer: 51.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (25 + (33 - 60)) - -132\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10001110100 (base 2) to base 12\nAnswer: -7b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*o = 6142, 4*o + o = d - 1508. Is d\/28 + (-1)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**6\/195 - 41*y**5\/65 + 85*y**4\/26 - 228*y - 4. Factor v(a).\nAnswer: -2*a**2*(a - 3)*(a + 85)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 1:33 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**39\/l)\/(l**(-33)*l))\/((l\/(l**(1\/4)*l))\/l**(4\/7)) assuming l is positive.\nAnswer: l**(1983\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -2, 1\/2, -60360?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 957610 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218819, 437244, 655669?\nAnswer: 874094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 + 11*n**2 + 37*n + 183. Determine j(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*l - c + 237964 = 272*l, -5 = -c. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxvxxxxx. Give prob of picking 1 x and 1 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10228502, -10228504, -10228506, -10228508?\nAnswer: -10228510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 9*l**2 + 4*l + 17. Calculate the smallest common multiple of 98 and u(-8).\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2116 - -20001?\nAnswer: 14552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-270)\/4*(-16)\/(-20). Let f = 107 + -151. Let v = f - i. Solve 2*z - z + v = 5*q, q = 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3) + -3 - (sqrt(363) + 1*sqrt(363) + sqrt(363)) - -4*(-1 + sqrt(3) + -1)) + 5.\nAnswer: -30*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*x**3 + 42*x**3 - x**3 + 21*x**3 + 5*x**3.\nAnswer: 88*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7825 + 9400 = -2205*j - 13645 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1735128 and 3944.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) + 39\/(-6). Let r be t\/(-14) - (-5)\/2. What is the derivative of -d**3 - 5 + 4 + 3*d**3 + r wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anna when four letters picked without replacement from kkkaknannaaakkanakn.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 27*z**3 - z**2 + 2*z - 2. Give r(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333398 - 330098 = 100*r for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-63))\/((-16)\/(-4))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**7\/42 + 4*x**3\/3 - x**2\/2 + 6*x. Let u(y) be the first derivative of t(y). Find the first derivative of u(r) wrt r.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -351?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/15)\/((-15)\/((-45)\/8)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(-3\/28)\/(n**12\/(n**(2\/9)*n)) assuming n is positive.\nAnswer: n**(-2743\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -12*y + 1. Suppose 0 = -0*b - 5*b + 25. Suppose 26 = b*p + v, -6*v = -2*v - 4. Suppose p = -0*m + 5*m. Determine g(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 7. Let m(k) be the first derivative of -k**4\/4 - 8*k**3\/3 - 5*k**2\/2 + 18*k - 5. Let d be m(-7). Solve d*c - 2*c - 10 = 2*p, p + q = 2*c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 18. Let x be v(-9). Suppose 8*w = x*w + 1. Calculate the lowest common multiple of w\/((-146)\/48 - -3) and 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u. Let x(m) = 6*m + 5. Let f(s) = -3*s - 3. Let v(a) = -a - 1. Let i(p) = -f(p) + 4*v(p). Let d(y) = 5*i(y) + x(y). Calculate d(o(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1453648 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 37, 2\/35, 0.3, 0.5, -120?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*w + 12, 0 = -5*q - 13 - 2. Suppose 5*c - 8 - 12 = w. What is the closest to -0.1 in c, 0.3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-8) + (-49)\/(-6). Let u = x - 8. Let f be (-2)\/(-2) + (9 - 11) - -3. Which is the second smallest value? (a) f (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 1:47 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 - 4*m + 6. Let i(x) = 483*x**2 - 241*x**2 + 3*x - 244*x**2 - 5. Determine 3*d(a) + 4*i(a).\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 + r**4 + r**4 - 41*r**4 - 56*r + 56*r - 4*r**4 - 5*r + 2*r**4 - 4*r + (0*r**2 + 2*r**2 + 0*r**2)*(-r**2 + 0*r**2 + 0*r**2) + r**4 + r**2 - r**2.\nAnswer: -45*r**4 - 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 109*q + 3 + 111*q)*(q + 4*q - 3*q).\nAnswer: 4*q**2 + 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 2*z**3\/3 + 1223. Let p(v) = 3604*v**2. Calculate a(p(n)).\nAnswer: 25977632*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2794002461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 3280*g**2 - 22804*g + 32520.\nAnswer: -4*(g - 813)*(g - 5)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0123 + 2795884873?\nAnswer: 2795884873.0123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*x + 4*x + 4, 0 = 3*t + 9. Solve 2*g = -x - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/6 - 16*y\/3 + 31\/6.\nAnswer: (y - 31)*(y - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1121101021200?\nAnswer: 1121101021111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 - k. Let r be j(1). Let v be (-1)\/(-2*r\/(-54)). Let y = v - 7. Solve -y*m = 6, 3*a - 3*m = m + 27 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4*10 - 1. Suppose 0 + 8 = z + 2*y, 2*y = o. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -2*p**3\/51 - 26*p**2\/17 - 338*p\/17 + 55. Factor x(o).\nAnswer: -2*(o + 13)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 1 - 9 + 8. Let l(y) be the third derivative of 11*y**8\/20160 + y**5\/10 - 5*y**2. Let p(v) be the third derivative of l(v). Calculate a(p(m)).\nAnswer: -121*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67552 is divided by 16845.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {w: 1, o: 9, h: 4}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2229*q**2 + 9. Let b(w) = -557*w**2 - 2. Calculate 9*b(c) + 2*l(c).\nAnswer: -555*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 12:07 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93 + 53 + 49 + h)*(-3*h**3 + 3*h**3 - h**3).\nAnswer: -h**4 - 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2, -3\/2, 1066, -0.5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 8. Suppose -4*b - q + 25 = 0, o*b = b - q. Suppose -b*y - 26 = -6*y. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 777, 46, -24.\nAnswer: -24, 46, 777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 + 5 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 957 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100011111 + -1000110111010001101?\nAnswer: -1000111001110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -445b7 - 3?\nAnswer: -445ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20202)\/168)\/(-37)*((-2)\/2)\/(4\/32)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384*b - 145 = -3*z + 389*b, -3*b + 27 = 2*z. Calculate the remainder when (1045\/2)\/(-5)*-2 is divided by z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*g + 12, -2*r + 10 = 3*g - 2*g. What is the remainder when (73\/g)\/(20\/40) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4884\/17 and -287 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in 9, 0.05, -2\/3, -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 4*a + 5*d = -31, -5*d = -5*a - 25. Let c(r) = 18*r + 131. Calculate c(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 at most 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-34)*(l*l**(-1\/18))**25)**(-13\/4) assuming l is positive.\nAnswer: l**(-13481\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386812 is divided by 35162?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 5*m**2 + 9*m - 7. Let s be t(-6). Let v = s - -29. Solve -5*x = -0*x + v*o + 7, -4*o + 23 = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -21. Let u(d) = 57*d**2 - 1. Let j be u(-1). Calculate the highest common factor of z and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 172\/(-22) + 6\/(-33). Let g = j - -20. Calculate the highest common factor of 48 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**11)**2 assuming o is positive.\nAnswer: o**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*1 - (2 + sqrt(72) - sqrt(72)))**2.\nAnswer: -12*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 - 112 - (-7 - (-22 - -2))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 6, -15, -44?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 135227917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 11*w - 26. Let s be x(13). Let p(h) be the first derivative of -3\/4*h**4 + 1 + s*h**3 - 3*h + 0*h**2. Differentiate p(q) with respect to q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1592 + 0?\nAnswer: -1592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5))**(-30)*(f**(1\/2))**(-20))**(2\/9) assuming f is positive.\nAnswer: f**(280\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 910 + -529. List the prime factors of r.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2114240, -2114233, -2114228, -2114225?\n\"Answer: -h**2 + 10*h - 2114249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 166970030 and 2680.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpsspspppppszp. What is prob of picking 1 s and 1 p?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 130?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 38 + 22. Let v = 5 + w. Let j be 36\/(-15) - 6\/v. Sort 1, 5, j.\nAnswer: j, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17376\/7240*(-10)\/2412\nAnswer: -2\/201","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24226 bigger than 24226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -53*i**2 + 0*i**3 + 5*i**3 - 2*i**3 - 2 + 44*i + 10*i**3. Let f(z) = 3*z**3 - 13*z**2 + 11*z - 1. Let b(a) = 2*c(a) - 9*f(a). Determine b(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5\/7, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3739 - 3739 + 1816*c + 780*c to the form b*c + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, s: 5}. Give prob of picking 1 f and 2 s.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 6*y + 11*y - 2*y)*(-3*y + 3*y + 3*y) to the form x + c*y + b*y**2 and give c.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39038187896 + -1400768258194397\/35882. Let s = -6\/2563 + q. Find the common denominator of -101\/16 and s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3302144 (base 6) in base 7?\nAnswer: -1251346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**2*t**2*z + 15*i**2*t*z + 2*i**2*t + i**2*z - 18*t**2*z + 1 wrt t?\nAnswer: 10*i**2*z - 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 21*t**3 + 4*t**2 - t + 9. Is j(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139 - 285*z**3 - 139.\nAnswer: -285*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3.0934 - -0.3\nAnswer: -2.7934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -20 + 0*j + 2\/17*j**3 - 5\/204*j**4 - 1\/255*j**5 + 6*j**2 + 1\/1020*j**6. Factor f(q).\nAnswer: 2*(q - 3)*(q - 1)*(q + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y - 4*y - y + (1 - 1 - 2*y)*(-1 + 1 + 1) + 2 - 3*y - 2 + 187*y + 255*y - 504*y + 188*y to p + u*y and give u.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/sqrt(72)*2.\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162888901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i - 2. Let y(w) = -2*w**2. Give h(y(k)).\nAnswer: -10*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Suppose 2*n - 10 = h*r, -5*r = -3*n - 4*r + 10. Suppose -n*z = -2*g + 71, 5*z - 41 = -4*g + 90. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 7*n + 5. Let x = -166 - -162. What is v(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from {n: 5, b: 1, d: 1, k: 1, s: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -117 in increasing order.\nAnswer: -117, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 272271 to the power of 1\/2, to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) -1 (c) -6 (d) 0.05 (e) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11361752 and 383459130?\nAnswer: 1533836520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3581888 to the nearest integer?\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/25 (b) 32 (c) 2\/3 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-1\/2)\/w))\/(w*w**4*w*w))\/(w*w*w\/(w\/(w\/(w**(-1)\/w*w*w)))*w*w*w)**(-2\/3)*(w*w**(1\/3))**(-22)*(w\/w**(-2\/11))\/(w\/w**(-7)) assuming w is positive.\nAnswer: w**(-2419\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-28) - 511\/(-49). Let j be (-2)\/(-11) - (-31)\/y. Suppose -o + 3*h - 2116 = -j*o, h + 1053 = o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 + 160*j**3 + 1830*j**2 + 8800*j + 15125.\nAnswer: 5*(j + 5)**2*(j + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 39, 54, 69, 84, 99?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - -4. Let x(w) = -w**2 - 5*w + 5. Let s be x(-5). Suppose 4*b = -3*p + i, 2*b + 12 + 7 = s*p. Put b, 1, 0.09 in increasing order.\nAnswer: 0.09, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*r - 6 = 0. Suppose r*n + 0*n = 14. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m - 7045 = 8*m + 3215. What is the least common multiple of 1140 and m?\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-176)\/(-11))\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*x**2 + 85*x**2 - 40*x**3 + 86*x**2 - 343*x**2 + 85*x**2.\nAnswer: -40*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10*22*20\/2200\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x + 5. Let r = 14 - 10. Let h = -689 - -696. Let d(o) = 18*o - 11. Let k(f) = h*u(f) + r*d(f). What is the first derivative of k(s) wrt s?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s + 3*s - s + (0 - 12 + 3)*(-1 + 1 - 2*s) - 4 + 4 + s)*(-2 + 0 + 3)*(-2 - 2 + 6) to the form r*s + u and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2595620 rounded to the nearest ten thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k*(k**(-2\/3)*k)\/k)\/k)\/k)**(-16\/3)\/((k*k*k\/k**1)\/k)**(-36) assuming k is positive.\nAnswer: k**(356\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14 + 215 - (-18)\/2?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.463 + 0.363. What is the nearest to 3 in -5, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*t + 6*k + 16, 3*t = -2*k. Suppose 2*y = 2*q - 6, -3*q - 6 = t*y - 5. What is the fourth smallest value in -2, 0.15, 0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 33 = 27. Suppose -4*q + 0*q = 92. Let d = q - -25. Solve -2*w - d*w = -o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01570566655 rounded to five dps?\nAnswer: 0.01571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2)\/(-7)*(-41776)\/(-128312).\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4359247605*u - 1719*u**2 - 4359247605*u.\nAnswer: -1719*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least as big as -0.274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -717183 divided by -3.\nAnswer: 239061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -14165*n**2 - 2*n. Let m(o) = o - 1. Give m(h(b)).\nAnswer: -14165*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/16 and 23\/772.\nAnswer: 3088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 87992, 177115, 266228, 355325, 444400, 533447, 622460?\n\"Answer: -t**3 + t**2 + 89127*t - 1135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-2\/5)\/s))**8*s**(-1)*(s*s*s*s**(-2)\/s)\/s*s*((s*(s*s*s**(-1\/3)*s)\/s)\/(s**(-4\/3)*s))**(-2\/31) assuming s is positive.\nAnswer: s**(1551\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o - 675*o**2 + 670*o**2 + 2*o to the form u + g*o**2 + s*o and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k - 3 = 0. Let g be (k*3 - 1)*-6. Suppose 5*h = h + g. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 240*l**2 - 4795*l + 255. Calculate y(-218).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 - 12.7. Let t = r + 53. Let q = t - 41. Which is the second smallest value? (a) -0.1 (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/103 - 316\/721. Suppose 0 = 3*t - 4*i + 146 + 45, -328 = 5*t + 3*i. Let z = t + 261\/4. Which is the closest to -1\/4? (a) d (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 1, 0.02, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 114 - 51 + 92)*(1 + 2*t**2 - 1).\nAnswer: 278*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95050 and 300?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)*5 + -2)*-4)**2*2 + 5.\nAnswer: -1920*sqrt(3) + 21733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 33*y**2 + 946*y - 1427. What is o(51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 10:44 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336, -361, -386?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31686.\nAnswer: 2, 3, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from vmy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1546*l**2 + 1546*l**2 + 24*l**3.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 65753*d**3 - 65752*d**3 - 64*d + 3 to i + q*d**3 + a*d**2 + z*d and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - q - 2*q + 89 = 0, -103 = 3*d + 5*q. Let k = -23 - d. Suppose 31 + 164 = k*a. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 5:50 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 8, 3, 4, -214, 1, -3 in ascending order.\nAnswer: -214, -8, -3, 1, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3 + 5. Solve n = -0*i + 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5308 + -5286. Let s = 183 + 15. What is the highest common factor of x and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-32))\/((-9)\/(-510)) + 6 - -9.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a year in months?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*q**2 - 4990*q + 5*q**2 + 4990*q.\nAnswer: -29*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51.1 - 3662888.\nAnswer: -3662939.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 12*j**2 - 281*j + 114. Determine k(23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283, -1131, -3533, -8299, -16239, -28163?\nAnswer: -44881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - ((-3408)\/110 + 49 + -44)?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o - 70*o = 336 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w = -22*w - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -152, -156, -160?\n\"Answer: -4*y - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c**2 + 190*c + 67. What is w(-48)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 875355 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i - i)*(9*i**4 + 50*i**3 - 50*i**3) + 0*i**3 + 0*i**3 - 2*i**5.\nAnswer: 7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 34*y + 2. Let r be z(-5). Let f = 284 + r. Calculate the highest common divisor of 29 and f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**5 + 21*j**4 + 5*j**3.\nAnswer: j**3*(j + 5)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22781 is divided by 2001.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*t + 20, 0 = -5*t - 5*r - 30 + 5. Let o = t + 14. What is the tens digit of (-18)\/63 + 704\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8534.434 millennia?\nAnswer: 85344.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 2:11 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114 + 501?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 - j**2 + 4*j - 3*j**2 - j**2 - 11 + 9 to the form h + d*j**2 + q*j + z*j**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27fd5 + 4?\nAnswer: -27fd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -16*h. Let y(b) = -27*b. Give p(y(s)).\nAnswer: 432*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 6*m + 54, 0 = 3*j - 6*m + 3*m - 57. Suppose 3*h = 2*h + 340. Calculate the highest common factor of j and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205458 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3025 + 6225. Suppose 12*f + 5*m = 10*f - 3438, -4*m - 6876 = 4*f. Let t = f + v. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 218564580 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 7:17 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129615352.\nAnswer: 2, 2503, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 2 - 9 - (5 - 44).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -223922 divided by 206\nAnswer: -1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -13*v + 18*v - 11*x, 5*v + 4*x + 12 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - (-76 + 50 + -21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5 + -24.5. Let j = 58296.1 - 58296. Which is the nearest to -0.1? (a) 2\/9 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 times -1?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/224 and 53\/9296.\nAnswer: 18592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*i**2 - 10*i**2 - 8*i**2)*(-2 + 0 + 3 - 7*i).\nAnswer: 189*i**3 - 27*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -3, 0, -8, -122 in ascending order.\nAnswer: -122, -8, -3, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a**2 - 15009*a. Let p(f) = -52*f - 4. What is p(z(i))?\nAnswer: -416*i**2 + 780468*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -40*c**4 - 415*c**3 - 150*c**2 = 0.\nAnswer: -10, -3\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5708414978?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -90 - 222 + 139 + 8*r - 19. Calculate d(21).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 9*f + 15*f + 80 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76760 is divided by 25442?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + -72 + 6 + -3 + 55 + 2.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55\/4? (a) 5 (b) -1\/8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -5*j**3\/6 + 3*j**2 - 5*j. Let u = 9 - 5. Give a(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -123\/8 (c) -3 (d) -949 (e) -0.2 (f) 0.045\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 < 11349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 90*g. Let h(m) = -m. Let n(c) = -c**2 - 3*c. Let p(a) = -6*h(a) + 2*n(a). Give p(i(t)).\nAnswer: -16200*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 7*o**2 + 10*o + 11. Let m(t) = -t**2 - t + 3. Let s be m(0). Suppose -5*v + s*i = 15, 5*v + 3*i = 3*v - 27. Is n(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 141\/94*-22*4\/(-2). Let x = s - 62. Which is the second biggest value? (a) x (b) -0.4 (c) -0.02 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393706230 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2\/4 + 23421990*b + 548589615560100 = 0 for b.\nAnswer: -46843980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n - 16. Let p be q(5). Let t be 10\/8 + p\/4. Which is the fourth biggest value? (a) 0.2 (b) t (c) 0 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -2\/5, 0.24, 4.\nAnswer: -2, -2\/5, 0.24, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4035\/82 < 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**3 - t - 20*t**3 + 56*t**3 + 28 - 7*t**3. Let q(u) = -37*u**3 + 2*u - 41. Let x(j) = -5*q(j) - 7*r(j). Differentiate x(k) wrt k.\nAnswer: 30*k**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4 - 9 = 5*j, 5*o = -4*j - 7. Sort 5, j, -1 in descending order.\nAnswer: 5, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -1 (b) 3\/8 (c) -1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1135 (base 7) to base 9\nAnswer: -514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90 + 94. Suppose 11*x + a = -7. Suppose -4*w + 3*v = 23, v + v - 20 = 5*w. Which is bigger: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334377 is divided by 47752.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 17192 + 15*n**4 - 4*n**2 - 14*n**3 - 17189 - 17*n**4 + 3*n**2 to d*n**3 + t*n**4 + y*n + l*n**2 + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 35. Suppose 4*l - 28 = j. Suppose -39 = -5*b + 11. Calculate the greatest common factor of l and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, -137, -132, -127, -122, -117?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -112122122220 (base 3) to base 16\nAnswer: -466b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -396\/3815 - -14\/1635. What is the third biggest value in -2, c, -1\/8, 0.42?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/64, -0.08, 5, -2671 in descending order.\nAnswer: 5, 3\/64, -0.08, -2671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*x - 277 = -79, -20 = -5*x. What is the lowest common multiple of o and (10\/4 - 0\/4)*2?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2926 + 2686 = 186*u + 4224 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 8)*(-13*l - 6*l**2 + 13*l).\nAnswer: 54*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.9 in -4, 2.73, -14, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f - 209. Let a(v) = 36*v**2 + 13*v + 2. Calculate a(z(s)).\nAnswer: 144*s**2 + 30070*s + 1569801","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 5:59 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28965?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {l: 6, s: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 459\/34*(1 - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, q: 1, l: 2, h: 1, b: 1, d: 1}. Give prob of sequence blq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1881 + -0.9306?\nAnswer: 1880.0694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -227759 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 765*t + 961. Let s(m) = -385*m - 482. Let i(l) = -5*s(l) - 3*v(l). Differentiate i(b) wrt b.\nAnswer: -370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47451*t**2 + 49018*t**2 - 88827*t**2 as w*t + b*t**2 + c and give b.\nAnswer: 7642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 252*v - 203*v - 40882709. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 841178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f - 1 - 3 - 3*f + 1 + 4.\nAnswer: 19*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -74829, -74851, -74873, -74895, -74917?\n\"Answer: -22*a - 74807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3148125 and 276?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2) + (-6)\/(-36). Put b, -4, 3, 0.1 in ascending order.\nAnswer: -4, 0.1, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.27825 millilitres to litres.\nAnswer: 0.05927825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 14256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 334 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 332 and 20.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 5:37 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5418285728 to the nearest integer?\nAnswer: 1756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(3*a**4 + 28 - 29 + 0*a**4).\nAnswer: 3*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283382 to the power of 1\/2, to the nearest integer?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**2 - 1536*s - 3080 = 0?\nAnswer: -2, 770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o + 45 = 0. Let s be (-38)\/(-10) - (-6 + o). Factor -s*k - 2\/5 - 2\/5*k**2.\nAnswer: -2*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 42 = 45. Let m = 26 + w. What are the prime factors of m?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i. Let d = -7 - -2. Let q be g(d). What is the units digit of (q\/(-4))\/((-3)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k**2 + 6*k. Let s(a) = 5*a**2 - 4*a + 2. Determine 3*q(x) + 4*s(x).\nAnswer: 2*x**2 + 2*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011001000100001 (base 2) to base 14.\nAnswer: 3a62d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206300 is divided by 41235.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b**3 - 2*b**2 - b. Let g(i) = i**3 + 12*i**2 + i + 13. Let q be g(-12). Suppose -6 = 5*c - q. What is o(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182507*y + 182505*y = 4, -5*y + 250 = 4*n for n.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.06, -1, -0.02, 11, -2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 9:21 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**4 + 36*t**3 + 658631*t**2 - 376652675*t wrt t?\nAnswer: -24*t**2 + 216*t + 1317262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*l**2*n**3 + 5*l**2*n**2 - 2*l**2*n + 713*l**2 + l*n**2 wrt n?\nAnswer: -210*l**2*n + 10*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*v - 2*v**5 + 8*v + (0*v**4 - 3*v**4 + 4*v**4)*(-1 + 1 + v).\nAnswer: -v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 6128.\nAnswer: 1\/766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(162) + 0)*4 - (3 + sqrt(72) + (-1*sqrt(198))\/sqrt(11))))**2.\nAnswer: -1782*sqrt(2) + 19683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 - 91 + 3*o**2 - 2*o - 97 + 183 - o**3 as n*o + a*o**3 + k*o**2 + w and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, x: 4, p: 4, k: 2, q: 2, j: 3}. Give prob of sequence xs.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 43, 80, 143, 238?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**3 + 2 - 5*o**3 + 4*o**3 + (-o + 1 - 1)*(-3*o**2 - 2*o**2 + 3*o**2) + o**3 - 4 + 4 - 2*o**3 + 4*o**3 - o**3.\nAnswer: 3*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10*g**3 + 10*g**2 + 3*g - 11. Let j(y) = -y**3 - y**2 - y + 1. Let t(o) = c(o) + 3*j(o). Let w(a) = a**3 + a**2 - 1. Give -t(v) + 6*w(v).\nAnswer: -v**3 - v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 1139656?\nAnswer: -1139652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 11*c = -42600000. Round c to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 - 67. Find the second derivative of 44*a**5 + 33*a + 16*a - 21*a**b wrt a.\nAnswer: 460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -67*b. Suppose -5*z + 5*x + 20 = 0, x - 4 = -5. Let o(f) = f**2 + 3*f. Let n(k) = 4*k**2 + 10*k. Let m(u) = z*n(u) - 10*o(u). Calculate m(r(h)).\nAnswer: 8978*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (13 + 3 + -30)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*n + 0 + 1\/2*n**3 - 1\/8*n**2 - 1\/8*n**4.\nAnswer: -n*(n - 3)*(n - 2)*(n + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (29 - (-8 + 2 - -18))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/((d*d*d**(-7)*d)\/d)))\/(d\/d**(-1\/4))*d**5*(((d\/d**(-2\/7)*d)\/d)\/d)\/d)\/(d**(-1\/6)\/(d*d*d*d**(-2\/19)))**(-1\/16) assuming d is positive.\nAnswer: d**(-27523\/12768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-220 - 11*z + 220).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 50831.69 weeks?\nAnswer: 355821.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 1331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1263 + 2754. List the prime factors of v.\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-9))\/2*-3. Let i = 1 + p. Let j be i\/4 + (-3)\/(-12). Does j = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94*p**4 + 7850*p**2 + 429*p - 3351 wrt p.\nAnswer: 1128*p**2 + 15700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9953916 minutes in seconds?\nAnswer: 59.723496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -43. Let a = p - -14. Let o(s) = 2144*s**2 - 2*s + 4. Let c be o(a). Round c to the nearest one thousand.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 281.3866.\nAnswer: 281.1866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, t: 3}. Give prob of picking 2 r.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = -4*m - 40, -149*m + 75*m + 78*m + 4*n = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 + 58 + 303*b - 29 + 93*b to a + w*b and give w.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 2\/13, 7, -9\/7, 0.07, -3 in ascending order.\nAnswer: -32, -3, -9\/7, 0.07, 2\/13, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166047 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -3 - (-9 + 17 - (-1 + 6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/3)\/(d*d\/(d**(1\/15)\/d)))\/(d*d**(-9)*d*d*d**(-12\/13)) assuming d is positive.\nAnswer: d**(346\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-20)*15*2\/3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*x**2 + 241*x + 251*x + 8*x**2 - 492*x.\nAnswer: -31*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27784, 53548, 79312, 105076, 130840?\nAnswer: 156604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012526 rounded to 5 decimal places?\nAnswer: -0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*3*-4 + -6*-3*sqrt(187))\/(-4*(sqrt(88)*6)\/sqrt(8)) + 5)**2*-5.\nAnswer: -2085\/16 + 25*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.017? (a) 2\/13 (b) -4 (c) 2\/7 (d) 0.2 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10227 (base 8) to base 3\nAnswer: -12211022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 995667 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1439145 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-36)*9)\/(14\/(-8))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.8 + -32.8. Let f = u + 28.8. Round f to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 15, v: 4}. Give prob of picking 2 m.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937\/16 > 120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7d4 (base 15) to base 2\nAnswer: 11011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-160)*((-18)\/4 - -2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + x. Let c be m(1). Suppose 0 = -3*i, v + 2*i + 0 - c = 0. Let y = 13 - 8. What is the second biggest value in v, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - 199a?\nAnswer: -1991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2. Let t(i) = 13544*i**2 + 8*i - 12. Let z(j) = -13541*j**2 - 10*j + 15. Let f(o) = -5*t(o) - 4*z(o). What is f(k(p))?\nAnswer: -13556*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 12 + (-64 + 1 - -25).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -95, -79, -65, -53, -43, -35, -29?\n\"Answer: -y**2 + 19*y - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -193 - -189. Find the common denominator of (j\/(-200))\/((6\/76)\/(-3)) and 103\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 21 = -6*v, 8*w - 5*w + 21 = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19071 divided by -3.\nAnswer: 6357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**2 - 26*b + 243*b - 3*b**2 - 72*b + 198*b + 5 to v*b**2 + x*b + j and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1.9 (b) 2\/9 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b7 + -1?\nAnswer: -4b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72 or -100?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a century in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1854843 or -5564530\/3?\nAnswer: -5564530\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 30 = -q - 3*v, 72 = 4*q + 4*v. Let m(i) = -11*i**2 + 11*i + 57. Let n be m(q). Round n to the nearest 100.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -350\/963?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 4*r**2 - 4*r**2)*(2*r**2 + 2*r**2 - 3*r**2) + 13*r**2 - 13*r**2 + 336*r**4 + 145*r**4.\nAnswer: 483*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/36*87\/(-116). Let l(d) be the third derivative of 0*d + 0 + 1\/6*d**5 + 0*d**3 - q*d**6 + 0*d**4 + 16*d**2. Factor l(g).\nAnswer: -5*g**2*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 35.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 9:09 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 214188, 213798, 213406, 213012, 212616?\n\"Answer: -r**2 - 387*r + 214576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**2 + 26*k - 4. Let i be d(5). Let o be 6*i\/4*(3 + -1). Solve -2*z = o*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**4\/12 - t. Let f be 5\/(20\/12) - 15. Let d(j) = -14*j**2. What is f*a(v) + d(v)?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 135\/(-18)*((-4)\/10 + 0). Suppose 3*i + u = 0, 3*v - 10*i + 15*i - 1186 = 0. Calculate the remainder when v is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -3 - (-3 - -756). Let i = -521 - f. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6672, 6683, 6686, 6675, 6644, 6587?\nAnswer: 6498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -538405 (base 11) in base 10?\nAnswer: -860315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 2. Let l = -2 + v. Let u = -4 + l. What is the third smallest value in 4, -1, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 - 21186*v\/5 + 56105824\/5.\nAnswer: 2*(v - 5297)*(v - 5296)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 4 (b) -8 (c) 16\/5 (d) 708 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39084 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14445\/(-49220) - ((-2)\/(-1))\/(-8).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7}. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*d - 118*d + 24 - 35*d - 26.\nAnswer: 148*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2755858 is divided by 918464?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 2:33 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*h - 9*h + 18 = 0, -4*v + 5*h + 39 = 0. Suppose 12 + 8 = 4*f. Suppose f*x - 28 = a + 4, -6 = -2*a. Which is bigger: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 0*s**6 + 0*s**5 + 0*s**2 + 1\/3*s**3 + 0*s**4 - 2 - 3\/7*s**7 + 0*s. Find the third derivative of i(a) wrt a.\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -47*n**2 - 410*n - 339. Give t(-7).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1408) + (sqrt(1408) - ((sqrt(1408) - 1*sqrt(1408)) + sqrt(1408))))\/sqrt(2) + 1 + (-1*sqrt(66))\/sqrt(6) + 3.\nAnswer: 1 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**3 + 144*w**2 + 2189*w + 3810 = 0.\nAnswer: -127, -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, j: 1, n: 2, w: 1, i: 2}. Give prob of sequence jv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a = -9*a + 7*a - 273 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 434212 (base 5) in base 15?\nAnswer: 4657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21161, 41171, 61181, 81191, 101201?\n\"Answer: 20010*l + 1151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -13*k. Let g(x) = -6*x + 11. Let c(m) = -m + 2. Let d(f) = -33*c(f) + 6*g(f). Determine o(d(s)).\nAnswer: 39*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 - 1 + 7*j + 3*j.\nAnswer: 10*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 163 - 159. Let w = -0.7 + -0.7. Let r = -1.5 - w. Which is the third biggest value? (a) r (b) x (c) -0.2 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -153*o**3 + 867*o**2\/2 + 1216. What is the second derivative of c(k) wrt k?\nAnswer: -918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4 + 48*m**3 - 330*m**2 + 484*m = 0. Calculate m.\nAnswer: 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*g + 2*t + 1536, 5*g = 2*t - 2556. What is g rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3881172 and 1868088?\nAnswer: 3372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1167149 or -1167133?\nAnswer: -1167149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + h + 1040 = 0, 3*a + 222 = 5*h + 3344. What is the remainder when a is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + u - 4. Let g be z(0). Let x(s) be the second derivative of -s**3\/6 - 4*s**2 - 754*s + 3. Determine x(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5748 - -5745. Let u = -41 + 22. Which is the nearest to -2? (a) 0.3 (b) m (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3925, -3936, -3961, -4006, -4077, -4180, -4321, -4506?\nAnswer: -4741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-42)\/120*-5)\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-2 + -18)) + -1897 + 1911?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 488554.1 millilitres to litres.\nAnswer: 488.5541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -15. Let z = -90.5 - -90.5. Which is the third biggest value? (a) k (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/20 and 93\/116.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -13*i + 60. Give l(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.076 and -0.393?\nAnswer: -1.208868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4388891 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/5 - 116*c\/5 - 89644.\nAnswer: (c - 730)*(c + 614)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owz when three letters picked without replacement from {g: 2, m: 2, s: 1, o: 6, z: 1, w: 5}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + n**3 - n**3)*(-4668 - 3085 + 1714).\nAnswer: 6039*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17 - 4*u - 5*u + 9*u - 10*u**3 wrt u.\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4979 (b) -1927 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2054626299?\nAnswer: 3, 11, 3541, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -5 - 6) + -22 + 34.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -191077 or -191078?\nAnswer: -191078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -25. Suppose d - 8 = q*d. Let n = 9 + -5. What is the nearest to -0.1 in n, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 270 + -263. Suppose -3 = -5*d - x, z*d - 10*d - 4*x + 12 = 0. Which is greater: -29\/24 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(-29) + 1\/((-4)\/4)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1388.116 millilitres to litres.\nAnswer: 1.388116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from blaryrbazbrbbyr.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(24\/9)*(-2)\/3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8895 is divided by 202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 - 18*t - t**2 - 14*t + 7*t**3 + 33*t - 9*t**4 as l + w*t**3 + y*t**4 + s*t**2 + o*t and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670678119 to the power of 1\/3, to the nearest integer?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 52489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*f**2 + 178 - 126 - 52 - 3*f as v*f**2 + i*f + j and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 5*p**2 - 3*p - 7. Let j be g(6). Let i = -8 + j. Suppose i*y = 2*y + 15. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 14 = h + 2*x, -3*h = 3*x - 24. Let s(o) = -h*o - 5*o + 4*o. Calculate s(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.635 to 1 dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 2*n**3 + 5. Let d(l) = -2*l**2. Determine s(d(f)).\nAnswer: 24*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 360*w - 31030. Determine q(-143).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1281985034 and 5533.\nAnswer: 5533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1741 + -9562?\nAnswer: -11303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q**2 - 24*q. Let t(a) = -247*a - 2. Calculate g(t(r)).\nAnswer: -488072*r**2 - 1976*r + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(3)*5)\/(sqrt(242) + 2*sqrt(242) + sqrt(242)).\nAnswer: 5*sqrt(13)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + m - 7. Let k(w) = -10*w + w**2 + 8*w + 13 + 2*w**2 - w**2. Calculate -7*i(v) - 4*k(v).\nAnswer: -v**2 + v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15048 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 17*y - 18 + 6.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17980 + 12097. Let l = 5893.082 + k. Let j = 0.118 + l. What is j rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -34.6 (b) -0.1137 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2807, -2812, -2819, -2828, -2839, -2852, -2867?\n\"Answer: -u**2 - 2*u - 2804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (9 + -4)) + 6. Sort -1, l, 0, -3 in ascending order.\nAnswer: -3, -1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.1 (b) 0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t. Let f(s) be the third derivative of -s**4\/12 - 22*s**2. What is f(c(g))?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*1\/(-2) + -1. Let i(q) = -q**2 + 7*q - 6. Let j be i(5). Let z = x + j. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 329651700 to the nearest 100000.\nAnswer: 329700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.63, -2, 2, 1\/6, -3, 2864 in descending order.\nAnswer: 2864, 2, 0.63, 1\/6, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**3 + q**2 - 4*q - 3. Let o be x(-2). Let u be ((-2)\/(-3))\/((-2)\/o). Is 2\/u + (-2622)\/(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v = -5*l - 21*v + 6, -2*l + 3 = -v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + -2 + 2 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/u**(-2\/5))**(-39)*(u*u**(1\/2)*u)**(2\/17)*((u*u\/(u*u**(-2)*u)*u)\/u)**16\/((u\/(u*u**(-1))*u)\/u**(-2\/3)) assuming u is positive.\nAnswer: u**(-26258\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 12*z**4 - 69*z**3 - 2790*z**2 + 22539*z + 5808 = 0.\nAnswer: -16, -1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331318 is divided by 330.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.761.\nAnswer: 0.1522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/27 and -25\/2784.\nAnswer: 25056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 108*v**2 + 2457*v + 1629. Calculate k(-22).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(200) + sqrt(200) + -1*sqrt(200))**2.\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 1641376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 148, 222, 296, 370?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-12))\/((-3)\/(84\/(-35))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -20*m. Let r(o) = -4*o. Let b(f) = 3*l(f) - 16*r(f). Let p(y) = 2*y**2. Determine p(b(s)).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2\/9 - 34984*v\/9 - 7776256 = 0. Calculate v.\nAnswer: -15188, -2304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64813404161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5346*v + 101549. Determine c(19).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**5*x)\/x*x\/(x\/(x\/(x\/x**7))))\/(x**(2\/13)\/(x*x\/(x**8*x))) assuming x is positive.\nAnswer: x**(63\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1117 + 3*l - 9*l**2 - 1113 - 2*l**2 + 2*l - 3*l in the form k*l**2 + w + v*l and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*r**3 - 697777*r**2 + 2*r + 28337661 wrt r.\nAnswer: 36*r**2 - 1395554*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -18*z**3 - 5*z**2 - 8*z + 9. Let t(r) = 19*r**3 + 4*r**2 + 6*r - 7. Let j(q) = -4*t(q) - 3*w(q). Give j(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 3:38 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*q - 3. Let y be 2 + 3 - (q + 1). What is the second derivative of -2*n**2 + 2*n - y + 6 wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11614053.\nAnswer: 3, 11, 353, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (sqrt(102) - -3*(sqrt(102) + -3*sqrt(102))))\/(sqrt(150) + sqrt(150) + (sqrt(150) - -2*sqrt(150))).\nAnswer: 6*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46415 is divided by 1218.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + sqrt(65) + (sqrt(65) + (sqrt(65)*2 - sqrt(65)) + sqrt(65))*-1 + sqrt(65) - (sqrt(65) - -4*-1*sqrt(65)))\/(3*-1*sqrt(500)*5))**2.\nAnswer: 13\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -197 + 203 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**7\/1260 + n**6\/240 - 2*n**2 + 16*n. Determine m, given that o(m) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (69\/9)\/((-5)\/(-75)) is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26377900 rounded to the nearest one hundred thousand?\nAnswer: -26400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - (-22 - -23) - -23.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*s**3 + 45*s**3 + 85*s**3 + 37*s**3 - 55*s**3.\nAnswer: 151*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-1))\/((-31)\/((-682)\/(-198)))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 632\/11060 + ((-10705)\/(-5600) - (2 - 0))?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + -72 - (7 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4004)\/(-42))\/26*5\/((-10)\/6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 22 = -34. Suppose h = -v + 8, 4*h - f*v = v + 24. Suppose 3*r - 18 = -2*j, -4*r = j - 0*r - 9. Calculate the smallest common multiple of h and j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + (-45 - -2) - 22) + (0 - (3 + 1))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/2037 + 4156\/83517. Suppose -t + 9 = 2*c, -5*t = -0*t - 3*c + 7. Is j > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12606, -25212, -37818, -50424?\nAnswer: -63030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 0 + (-6)\/((-6)\/(-2)). Let z be 2\/52 + 1\/(-2). Which is greater: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -37. Let g(b) = b**2 - 23*b + 44. Let x be g(s). Suppose -j - 17 = -3*z + 4*j, -3*j - 10 = -x*z. Sort 1, -2, z, 0 in decreasing order.\nAnswer: 1, 0, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -104, -94, -84, -74, -64?\n\"Answer: 10*w - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/(-98) + ((-5)\/(-35))\/(99\/177). What is the fourth biggest value in 3\/5, 5, -3, -0.5, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1950*x**2. Let n(w) = -128*w. What is d(n(h))?\nAnswer: -31948800*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, 231, 901, 2235, 4461, 7807, 12501?\n\"Answer: 38*l**3 - 10*l**2 - 2*l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*q + 0 = -2, -2*z = 7*q + 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 2*c**3\/3 - 2724. Let b(i) = -617*i**2. Determine k(b(v)).\nAnswer: 761378*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**5 - 4*f**5 - 2*f**5 + 46*f**2 - 35*f**2 wrt f.\nAnswer: -480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y - y - 8 + 8 = 0. Put 2\/327, y, -3 in decreasing order.\nAnswer: 2\/327, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -498338 > 0.026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 5*h**7\/21 + 4*h**6\/5 - 11*h**5\/10 - 23*h**4\/3 - 12*h**3 - 8*h**2 - 16*h. Let s(l) = 0. What is l?\nAnswer: -2, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (48\/18)\/((-4)\/(-6)) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0498155*-1.25\nAnswer: -0.062269375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 166\/6 + 2\/6. What is the third derivative of -17*a - 11*a - 24*a**4 + x*a - 9*a**2 wrt a?\nAnswer: -576*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/1000*25*-5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -57849 + 0.043\nAnswer: -57848.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by ((-18)\/72)\/(13\/(-10972)).\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 0 + 0)*(2*q - 2*q - 2*q)*(-50*q + 1 - 33*q - 2*q + q + 1 - 1 + (q + q - 4*q)*(-1 + 2 - 2)).\nAnswer: -328*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000022443257 to seven decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5651442 is divided by 464.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2. Let h(w) = 26 + 108*w - 27 + 66*w + 44*w. Determine h(x(s)).\nAnswer: -218*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.57 rounded to 1 decimal place?\nAnswer: 28.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + 4 + 1 + -9 - 27?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/((sqrt(132)\/sqrt(4))\/sqrt(11)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -1, 3*t - t - 2 = 2*r. Let f(q) = 34*q - 112. Let o be f(8). Suppose 38*w - 70*w = -o. Solve -5*g - w*s - 8 = 22, 0 = t*s + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 775.9998564 - 776. What is o rounded to 6 dps?\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 61578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2655*f + 2796*f + 977 - 946 to the form q + z*f and give z.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -28*z + 2. Let c(s) = 142*s - 9. Let y(x) = 2*c(x) + 11*r(x). Calculate the remainder when y(-2) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13732*w + 27426*w - 13695*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 - 1.1. Let k = 31 - 29. Let d = 7 - k. What is the closest to r in 0.1, d, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - f - 4*f)*(1 - 5 + 0)*(-4 + 7*f**3 - 2*f**3 - 3*f**3).\nAnswer: 64*f**4 - 128*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**(-1\/6)*q*q)*q*q\/q**(2\/3)*q\/(q*q\/q**(-9)*q)*q\/(q*q**8) assuming q is positive.\nAnswer: q**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 14*g**2 - 364*g + 27. What is v(13)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 51, 31, 3, -33, -77, -129?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 11 = z + f, -24 = -4*z + 4*f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - x = -22 + 22, -5*x + 16 = -11*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -3*v - 1. Let x be (7\/6)\/(43\/258). What is the highest common factor of x and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*l + 3*l = -23, -r - 2*l = -16. Solve -2*y = -3*w - 2, 0 = 9*y - 4*y - 5*w - r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -197499*j**2 + 4*j + 4. Let t = 39 - 41. Let x be b(t). What is x rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 28. Is -7\/6 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.27 - -1.03. Let m = 1.226 + 3.774. Which is the smallest value? (a) 0 (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -334, -336, -338, -340, -342, -344?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -66.439483 and 0.3?\nAnswer: -19.9318449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1434*w + 4. Let z(s) = 768625*s + 2145. Let j(k) = 2145*v(k) - 4*z(k). Let h(d) = -2*d**2. Give j(h(c)).\nAnswer: -2860*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -0.06, -2\/7, -0.2, -54, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - -100?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 2*q**2 + q**2 + (0 + 1 + 1)*(-2*q**2 - 1 + 1) + 0*q**2 + 2*q**2 - q**2 + (-3 + 3 - q**2)*(3 - 2 + 1) + q - q - 2*q**2 - 1401 - 98*q**2 + 1401.\nAnswer: -103*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 1)\/((-6)\/(-42)). Let g = w + 10. Differentiate 0*h**g - h**3 - 2 + 2*h**3 wrt h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.9 + 19.9. What is the nearest to -0.1 in 4, -1\/10, i?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5996685361.\nAnswer: 19, 7703, 40973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (36 + -1 - 22)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 3)*(8 - 4 - 455\/117)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 94524.\nAnswer: 94524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280 and 224980?\nAnswer: 449960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 1, s: 1}. Give prob of sequence sl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 3423315.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.57 - 32.37. Let t = 3.74 - a. Round t to zero dps.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 13*d - 27. Suppose -s - 2 = -3*h - 3*s, 0 = -4*h - 5*s - d. Let f(q) = q**2 + 4*q - 7. Let z be f(-6). Which is smaller: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/23 (b) 0.3 (c) 33 (d) -12.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 205787428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7142 (base 11) to base 4.\nAnswer: 2110030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - s + 13. Suppose -g + 16 = 2*t - 3*g, -5*g = 4*t + s. Solve t*j - 21 = -9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4\/11 - k**3\/11 - 16*k**2\/11 + 16*k\/11 = 0. What is k?\nAnswer: -4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 282*m**2 - 276*m - 560.\nAnswer: -2*(m - 140)*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 4*n - 6. What is d(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252)\/(1*sqrt(4)))\/(sqrt(1296) - sqrt(1296)*2) + 1)*4 + 5)*5*6.\nAnswer: -10*sqrt(7) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -771 and 418625.\nAnswer: -322759875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fms. What is prob of picking 1 s and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**2\/2 + 17073*z\/2 + 47726 = 0.\nAnswer: -3409, -28\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 5*x - 27 = 0, 3*v - 12 = -3818*x + 3815*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**2\/2 + 9*d - 15. Suppose r = -4*r + 45. Let u be w(r). Solve -2*h = 6 - u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - -1) + (-3 - -51).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10)\/(1001\/(-2145))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 4*a + 204, a = 10*x - 5*x - 285. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 10*j = 3*i - 4833, 3*j = 4*i + 3606. Suppose -81*g + j = -75*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 334 = -2414. Let b = 1383 - o. List the prime factors of b.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 7854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -16*b**3\/3 + 25*b. Let z(f) = 2*f**2. Determine g(z(t)).\nAnswer: -64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -29399 times -0.2?\nAnswer: 5879.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -28. Let r be -7 + 4 + -9*(-2)\/3. Suppose r*k = 4*d - 466, -d - d = 4*k - 222. Calculate the remainder when d is divided by b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 6*j - 3. Let s be d(5). Let n = s + 1. Let l = 62 + n. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 13 - 12 = 0. Let s be (-1)\/((-3)\/t)*3. Let x(k) = 11*k - 7*k - 7*k - k**3 - 5 - k**2 - 4*k**2. Give x(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*p = -15. Let w(n) = -n**3 - n**2 + n + 4. Let r be w(0). Suppose -r = g - 3. Sort p, g, -5 in descending order.\nAnswer: p, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -589*a**2 + 589*a**2 + 25*a**3.\nAnswer: 25*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 935 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -3\/10219754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -516 + 520 - (4 + (3 - 5 - -5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - -0.1. Let n = -0.6967 - -0.5967. What is the third smallest value in n, i, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5523931036?\nAnswer: 2, 13, 181, 586903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10398496.\nAnswer: 2, 324953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -42, 28.\nAnswer: -42, -4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**5\/60 - u**4\/24 + 10*u**3\/3 - 26*u**2. Determine h(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69523, -133645, -197767, -261889, -326011?\nAnswer: -390133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2465.49 and 542.\nAnswer: -1923.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58415143, 58415109, 58415073, 58415035, 58414995, 58414953?\nAnswer: 58414909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**4 - m**4 - 25*m + 10 + 29*m + 12 with respect to m.\nAnswer: -12*m**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 - s**2 + s**2)*(-2 - 1 + 1) + 57681*s**3 - 10754*s**3 + 2500*s**3.\nAnswer: 49433*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -57*c + 3*c**2 + 24*c + 28*c. Let m(y) = 20*y**2 - 32*y. Let j(v) = -32*i(v) + 5*m(v). Let g(p) = -14*p. Calculate j(g(a)).\nAnswer: 784*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 12) to base 5\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2 (b) 0.4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5698287l to millilitres.\nAnswer: 569.8287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3181477196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -46*t + 548. Is s(-28) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 4. Let m be 1\/(-2) - (-63)\/14. Solve -o + i*o + m = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -190*i + i**4 - 3*i**4 - 33*i**2 - 6*i - 530*i - 77*i**2 + 38*i**3 = 0.\nAnswer: -3, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**24\/t)\/(t\/(t\/(t*t\/t**(-3\/8)))))**(1\/2) assuming t is positive.\nAnswer: t**(165\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 344464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4738636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k - 85*k**2 + 84*k**2 - 3*k + 18. Let g(v) = -2*v**2 + 27. Let w(p) = -5*g(p) + 8*s(p). Let c(a) = -2*a. Give c(w(t)).\nAnswer: -4*t**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5.10342 - -11181.8\nAnswer: 11186.90342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -354482*n**3 + 698860*n**2 + 20136*n + 144.\nAnswer: -2*(n - 2)*(421*n + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 45. Suppose -x - 49 = -5*b, x - q = -2*b - x. Solve b = -4*w + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4322490268 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4941.53 or 9?\nAnswer: 4941.53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 5*c - 19, 3*c = -4*b + 8*c - 33 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(2\/17))\/(k**(-2\/3)\/k*k)*k**(1\/11)*k**(-19) assuming k is positive.\nAnswer: k**(-9046\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 12. Let i = g - 3. Which is the second smallest value? (a) -3 (b) i (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/56)\/(-1)*(-42)\/63\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Let y = 7 + -10. What is the nearest to 1 in 1\/6, y, x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10099265 or 10099295?\nAnswer: 10099295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7.4*0.32\nAnswer: 2.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006729779 rounded to seven dps?\nAnswer: 0.0000673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 120 - 199. Let g = 78.961 + c. What is g rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 + 2*v**3 + 16 - 44 - 19*v + 68.\nAnswer: -2*v**3 - 19*v + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/39)\/(1*(-6)\/162).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -312, -659, -1134, -1731, -2444, -3267?\nAnswer: -4194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 512 - 416 = 0. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2042?\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from ssevshhsesshsvhesse.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i + 10. Let p(v) = -1 - v + 0 - 2 + 5. Calculate -2*l(u) + 11*p(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -160*x + 150*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 1\/3*k**3 - 2*k - 4 + 1\/2*k**2. Does 9 divide q(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*r**2 + 104*r**2 - 67*r**2.\nAnswer: -19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 11*d**2 - 1611*d - 16. What is o(-35)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6)\/((-60)\/24)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 846383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffjjffj. What is prob of sequence fjfj?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26603594?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 w when three letters picked without replacement from {e: 4, a: 5, w: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1111110001100011001100 (base 2) to base 13\nAnswer: b1a21b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - y**2 + y - 3. Let l(d) = -5*d**3 - 3*d**2 + 2*d - 8. Suppose f - 6 - 2 = 0. Suppose n - 294 = 99*n. Give f*u(w) + n*l(w).\nAnswer: -w**3 + w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 13. Let w be ((-18)\/4)\/((-77)\/54 - 2\/27). Let x(y) = y**2 + 4*y - 8. Let j be x(-6). Let t(g) = 3 + j - w. What is -2*s(l) + 7*t(l)?\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -483 or -965\/2?\nAnswer: -483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 100631 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: Evaluate ((-1)\/(-2)*18)\/(-55*(-189)\/13860).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x - 369 = -61 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 463142.4l?\nAnswer: 463142400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p + 3. Let r(b) be the second derivative of -b**3\/3 - 3*b**2\/2 + 512*b. Give -3*r(n) - 2*u(n).\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14985202 is divided by 2344?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 5. Suppose n*o + 50 = 5*v, -2*v = -3*o - 7 - 15. Solve -h + v = -2*b, -12 - 11 = -4*h + 5*b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 122, 0.133, -7\/235?\nAnswer: 0.133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2081662 or -2082236?\nAnswer: -2082236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14133 - 212113323?\nAnswer: -212044140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 15, b: 3}. Give prob of picking 3 l and 1 b.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = r + 11 + 106, -5*l = 2*r - 206. What is the second derivative of -48*o**2 - 15*o + l*o - 13*o - 6 - 15*o wrt o?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 244, 615, 986, 1357, 1728?\n\"Answer: 371*r - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.1, 5, 2\/5, -2, -13.64, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**2 - 51*v**2 + 31*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - (32643\/(-45))\/31)*(-65)\/(-4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 2*x - 14, -5*x + 0*x + 5 = -5*q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 2*i**2 - 3*i. What is g(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*k = 22, 4*a + 2*k = -0*k + 26. Let f = a + -11. Let g(i) = -11*i - 9. What is the units digit of g(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 = -28*q + 22*q. Let m(l) = l**3 - 2. Let a be m(-4). Let o = a + q. Solve -32 = 3*u - 5*s, 4*u + 7 + 1 = -o*s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1540141 (base 7) to base 6.\nAnswer: -4310314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065622082 rounded to six decimal places?\nAnswer: 0.065622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 3, 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/7))**(2\/173)\/(u\/u**1)**18)\/(((u\/u**1)\/u)**(2\/7)*(u**1)**2) assuming u is positive.\nAnswer: u**(-296\/173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 7*n**2 + 5*n + 3. Let s be y(-6). Suppose -308 = 2*p - s*p. Let k be 1\/(1\/2) + 42. Is k smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -8*c**4 - 4*c**3 + 39. Let y(q) = 23*q**4 + 11*q**3 - 116. Let o = -80 - -86. Let v(b) = o*y(b) + 17*t(b). Differentiate v(x) wrt x.\nAnswer: 8*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + 233?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14400 + 2061 = 5*w + 452*w for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4771, -6, 2, 4, 3 in increasing order.\nAnswer: -6, -3, 2, 3, 4, 4771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j. Suppose 0*m + w = -4*m + 1, -12 = 4*w. Suppose -2*a + 36 = 5*v + 14, 3*a - 15 = -3*v. Let q(c) = m + v - 2*c - 5. Give d(q(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 684721008 a multiple of 2032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.24 + 0.17. Let y = -0.04 - d. Let i = y + 0.37. Which is the closest to -2\/5? (a) -2\/3 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(20\/24)*4\/(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of ((-40)\/24)\/((-9)\/8100)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 319 = -545. Calculate the highest common divisor of o and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5+-793.897\nAnswer: -798.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87 (base 10) to base 16.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**2 - 7*a - 5*a**2 + 11 + 0*a**2 - 18. What is j(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1864276, -1864266, -1864254, -1864240, -1864224, -1864206, -1864186?\n\"Answer: p**2 + 7*p - 1864284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 41 - 4553\/116?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3141012 (base 5) in base 9?\nAnswer: 80170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -331 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-45)\/(-2) - (-75)\/50) + 7. Solve 2*m = 4*m - 5*w - z, 34 = 3*m - 5*w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 851.3151km to millimeters.\nAnswer: 851315100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.26 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 - 4*x + 2. Let c(l) = 7*l**2 - 7*l + 4. What is 6*c(q) - 11*d(q)?\nAnswer: -2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*n + 51 = -66*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6)\/f)\/f*(f\/(f\/(f*f**4)))\/f*f*f)\/(f**(-1)\/f)**(-1\/3) assuming f is positive.\nAnswer: f**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.6297814.\nAnswer: -1.2595628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115*q**2 - 34*q**4 - 43*q**2 - 6*q**5 + 361*q - 361*q wrt q.\nAnswer: -360*q**2 - 816*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-2)*5\/(-5) + -3. Let t(b) = 7*b**2 + 8*b - 17. Let x(q) = -3*q**2 - 4*q + 8. Let u(a) = r*t(a) - 9*x(a). Factor u(h).\nAnswer: -(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v - 21. Let b(q) = 5*q + 24. Calculate 3*b(d) + 4*c(d).\nAnswer: -d - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y - 14*y + 9*y)*(-82*y**4 - 114*y**4 + 157*y**4).\nAnswer: -78*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 7*o - 2*o. What is the derivative of 2*i + 1 - 4*i - 1 + o wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, j: 1, m: 1, i: 5, e: 2, n: 1}. Give prob of sequence md.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 (base 8) in base 6?\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*o + 9. Suppose o*x = 4*z + 106, -4*z = 5*x - z - 291. What are the prime factors of x?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a924 (base 11) in base 3?\nAnswer: -12221101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.334*-81.\nAnswer: -27.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -761*l + 748*l = -52 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55236 - 1822558\/33. Which is greater: r or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3 - -1) + -4 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/10)\/(2\/30). Let n = h + 9. Calculate the remainder when 5 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**4\/6 + 5*s**3\/6 - 5*s**2\/6 - 5*s\/6 + 1 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 - (-34 + (25 - 0)) - (-1 + 2 - -12)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - x**2 - 1. Let v(m) = m**3 - 10*m**2 - 5*m. Let u(a) = -5*s(a) + v(a). Let n(b) = -9*b**3 + 8*b**2 + 8*b - 8. Determine 5*n(r) + 8*u(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**23*s\/(s\/((s\/(s*s**(1\/2)))\/s)) assuming s is positive.\nAnswer: s**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1586 + 1588. Solve 284*j = 285*j + c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*l - o, o - 9 = -3*l - 2. Suppose 5*g - g = 80. Suppose -2*f = -6*f + g. Put 1, f, l in decreasing order.\nAnswer: f, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 + 442 = 20*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3458, 13887, 31284, 55643, 86958?\nAnswer: 125223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -2151828430698.\nAnswer: 2151828430698.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a century?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-8) - (-3)\/2. Let u = 10 + g. Suppose -2*o + u = o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 12*r = -14*r + 4, 0 = -5*t + 2*r + 38 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2230?\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -5*k**3\/3 + 630. Let j(a) = -21*a**2. Calculate j(c(q)).\nAnswer: -525*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 505\/6 + -72203\/858. Put j, -0.2, 0.2 in decreasing order.\nAnswer: 0.2, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1883?\nAnswer: 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, b: 6, m: 9}. Give prob of sequence bbmm.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10201 + 102220?\nAnswer: 22012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 6*h**2 + 2*h - 6. Calculate q(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (224\/(-35) - -6)\/(10\/(-75))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-20)\/6) + -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1.3. Which is the smallest value? (a) i (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 11*t + 423. Let o be v(-38). Put 0, -3, o, -22, -5 in decreasing order.\nAnswer: o, 0, -3, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u - 20. Suppose -5*z = -q - 90, -z + 2*q + 0*q = -27. Let i(j) = -j + 7. What is z*i(b) + 6*t(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18170, -18287, -18494, -18797, -19202, -19715?\nAnswer: -20342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 15599 + 15723 = -3*b - 5*j, -4*b - 4*j = 152 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t + 8. Let w be k(3). Suppose 4*z + p = 2239, w*p + 0*p = -z + 551. Let g = 197 + z. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2*v + 8 = 0, 5*n - 6*v + 18 = -9*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -266, 2, 0.031, 5, -1\/3 in descending order.\nAnswer: 30, 5, 2, 0.031, -1\/3, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4077034 + 3?\nAnswer: -4077031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2\/8 + 1321141*c + 3490827083762 = 0. Calculate c.\nAnswer: -5284564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 7 (c) -4 (d) 39 (e) -0.038 (f) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + -4 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 147*b + 53. Let n be h(1). What is the common denominator of 47\/5 and 345\/(-46)*((-9)\/n)\/(-3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 1313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30221 - 20?\nAnswer: 30201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -76024941920 take away 0.2?\nAnswer: -76024941920.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38014027*i**3 - 366474*i + 9 wrt i?\nAnswer: -228084162*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138058386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-27)\/(-12))\/((-2)\/24*-3). What is the highest common factor of 153 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from nnoxxgog?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r - 9. Let g be w(-6). Let q(a) = -4*a**2 + 3*a**g - 2 + a**2 + 2*a**3 + 2*a + 0. Let k(t) = t**3 - t**2 + t. Calculate 3*k(f) - q(f).\nAnswer: -2*f**3 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86818740 a multiple of 1698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-112197.\nAnswer: 112197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65080 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 34\/(-12))\/(4 + 207\/(-54))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23904160 <= -23904158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 57 = -5*t, 0 = -5*o - 5*t + 3*t + 95. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 30381300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 48, -25, -98?\n\"Answer: -73*i + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Suppose 2*d - 4 = -2*y - 2*y, s = 2*y - 3*d. Suppose f + 2 = -y. Sort f, -1, -4.\nAnswer: -4, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 9 = -3*l. Let h(i) = i**2 - 4. Let s be h(l). Suppose -167988 = 4*j + 4*x, 0*j + j + s*x = -41985. Round j to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**3 + 2*u**3 + u**2 - 3*u**4 + u**4 + u + u**2 as d*u**2 + b + w*u**3 + k*u**4 + n*u and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*x - 2425 - 1103. Solve x*d = 73*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -0.5 (b) 4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 979 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 3*u - 3. Suppose -4*w + 17 = -3. Let c = -9 + w. Determine h(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58636 and 37585676.\nAnswer: 37585676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millisecond in microseconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1846 - -2187. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - r - 4*r)*(3 + 3*r**3 - 3) - 3 + 3 + 2*r**4 + (2 - 2 - 2*r**2)*(-5*r - 2*r**2 + 5*r) + 18*r**4 + 2*r**4 + 3*r**4.\nAnswer: 23*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -74, -218, -450, -788, -1250, -1854?\nAnswer: -2618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is bb31 (base 13) in base 6?\nAnswer: 320402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 11 - 6. What is the first derivative of -2*w**4 - 5 + t + 5*w**4 wrt w?\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 - 35. Suppose 4*c = c - q. Let g be (c\/6)\/((-280)\/135 + 2). What is the highest common divisor of g and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -8*t**3 - 9576*t**2 - 12*t - 14370. What is r(-1197)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -21\/104 (b) 0 (c) -4.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 18*p**2 + 16*p - 41. Let t be r(-19). Suppose 5*w - 194 = t. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2124 (base 7) to base 4.\nAnswer: 23301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i + 12*i = -16100. Let r = 2346 - i. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 5:57 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 56abbc?\nAnswer: -56abb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 1:23 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxxxbbbx. Give prob of sequence nx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8236 and 115.7.\nAnswer: 952905.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18852 is divided by 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 309240 and 1368?\nAnswer: 5875560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5679 and 30288.\nAnswer: 90864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, h: 2, l: 4, a: 1, j: 4}. What is prob of picking 2 l?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 + -22055614?\nAnswer: -22055540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3297925840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*g + 10965, -4*a + 5768 = 5*g - 7939. What are the prime factors of g?\nAnswer: 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**7\/840 - k**6\/60 + k**5\/30 + k**4\/12 + 2*k**3\/3 - 2. Let w(z) be the third derivative of u(z). What is w(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613262061?\nAnswer: 3, 68140229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(7*(-14)\/60319). What is the greatest common factor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnffnfngongnfnfxffg. Give prob of sequence fx.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h - 11*h**3 + 7*h + 4 - 4 wrt h.\nAnswer: -66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -609*q**4 - 499*q**2 + 3 wrt q.\nAnswer: -14616*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m. Suppose -5*c = 78 - 283. Suppose -4*o + c = -7. Let y(u) = 10*u + o*u + 2*u - 5*u. Calculate n(y(w)).\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -654116 and -9.\nAnswer: -654125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10871999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1202446 is divided by 398.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23, 88, 199, 356, 559, 808?\n\"Answer: 23*h**2 - 4*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/819 and 68\/585.\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-264)\/968)\/(1\/((-2)\/(-3))).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11346 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-104) - 155\/((-322400)\/22760)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*f - 38 - 5*f + 7*f + 4*f + 10*f to the form m*f + x and give x.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 2*w**7\/105 - w**6\/5 - 12*w**5\/5 - 20*w**4\/3 + 1412*w**2. Factor i(r).\nAnswer: 4*r*(r - 10)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.88 + 117.62. Let f = d - 100. Let y = -23 + f. What is the biggest value in 2\/15, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25983543.6 rounded to the nearest 100000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 2*u + 2. Let h be i(3). Let k = 2 + h. Suppose 0 = -0*m + 4*m - 80. What is the remainder when m is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((14 + -54)\/(-5)). Let o(i) be the third derivative of 0 + i**4 + x*i + 4*i**2 + 6*i**3 + 1\/15*i**5. Factor o(u).\nAnswer: 4*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*o + 253*o + 264*o + 465*o**2 + 237*o - 996*o.\nAnswer: 465*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6*i - 96. Suppose -4*j = -4*a - i, -2*a - a = -j + 4. Suppose -j = t - 58. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.16 - 0.06. Let t = -6.01 - -0.01. Let x = -5.7 - t. Which is the nearest to r? (a) -5 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6536425 less than 6536403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, 3, 2, 1, -1 in descending order.\nAnswer: 86, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*5 + (sqrt(19) - (sqrt(19) - (sqrt(38)\/sqrt(2) + -5))))**2.\nAnswer: -210*sqrt(19) + 8404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -788, 273, 1930, 4093, 6672, 9577, 12718, 16005?\nAnswer: 19348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + t - 2. Let b be c(-5). Let w = -30 - -174. What is the greatest common factor of b and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 6 = 1. Put -4, -0.2, w in decreasing order.\nAnswer: -0.2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -16*l**2 + 19*l - 66. Let d(m) = -3*m**2 + 4*m - 13. Let b(s) = 11*d(s) - 2*v(s). Calculate b(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1 - -0.9. Let l = -0.037 + -0.034. Let s = 1.071 + l. Which is the nearest to s? (a) -4 (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-320)\/800)\/(-5*(-4)\/350)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3695*s - 122255. What is n(33)?\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -13193*i + 79155. Give u(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 - -1.8. Let q = z + -0.1. Let a be (-84)\/208 + 2\/13. What is the closest to q in -4, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46\/7 - 72\/11. Which is the fourth smallest value? (a) 5 (b) p (c) -0.5 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(9\/45*-1*1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 divided by 3?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 37*k**3 + 6. Let p(s) = -1333*s**3 - 217. Determine -217*n(c) - 6*p(c).\nAnswer: -31*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.1948279 to two decimal places.\nAnswer: 5.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = g - 82, 2*h + 4 = g - 84. Let u(t) = -3*t - 12. Let p be u(10). Let m = p + g. What is the highest common divisor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57 - (-25 + 15)) + -22.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.3 + -11. Let u = -1.545 - -0.065. Let z = g + u. Round z to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -264357 times 0.081\nAnswer: -21412.917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**2 - 1705490280*o - 145434854758723920 = 0 for o.\nAnswer: -170549028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*n - 1499, 2*n - 4*t + 753 = 2249. Let v be (-4)\/((-1)\/(-935)*2). Let c = v + n. Round c to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 + 277*i - 551. What is s(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19 + -32*(-11)\/(-22). Solve -15*k + 16*k - 4*h = 8, -d*h = 2*k + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1306 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 140\/(6 + 4) + -17\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 114?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*y - 641, -5*y + 5*g + 1598 = 3*g. Do y and 320 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven sixths of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/((-399)\/(-70)) + 1*-4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*z, -2*w + z - 2*z = -133. Suppose -386 - w = -6*i. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238\/(-168) + 2\/(-12)*-4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62 and 5.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -m - 5, 111937*r - 111935*r = -3*m - 55 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) 0.1 (b) -36 (c) -0.5 (d) 4 (e) 414\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 135. Is 1 - 2 - m\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-25)*-2*35\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = -0*y + 900. What is the greatest common factor of y and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence seue when four letters picked without replacement from uqusehuuehueuuuuq?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (40\/(-16)*-2 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 868389319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1743, 3926, 13381, 26622, 43649, 64462, 89061?\n\"Answer: 1893*w**2 - 10*w - 3626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 611*f**3 + 7*f**2 - 23*f wrt f.\nAnswer: 3666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1))**(-5\/6))**(2\/7))**(2\/27) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-123)\/(-11) - 12\/(-8)*(-4)\/33. Solve o = -11*y - 33 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -89*t**2 - 5 + 76*t**2 + t + 8 - 26 wrt t?\nAnswer: -26*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**4 + 2128*g**3*l**3 - g*l**3 - 16*g*l**2 - 15*g + 3*l**3 wrt g?\nAnswer: 48*g**2 + 12768*g*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 - 1271761*v. Let m(i) = 6*i. Determine m(j(b)).\nAnswer: -18*b**2 - 7630566*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158300 is divided by 1237?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 9*k + 19. Let w be l(-2). Put -4, w, 5, 0.3 in ascending order.\nAnswer: -4, 0.3, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from vododdov?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7d8 - 2d8a5?\nAnswer: -3029d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/8*(28 + -35 + -13) - (10 - 10).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2, 1\/4, -1\/7, 22, -17, 1\/5, -0.605?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3176113 + -4?\nAnswer: -3176117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.08, -2, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (136\/42)\/(6\/(-27) + 448\/2088). Is l at least as big as -423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = c + 2*a, -a - 8 = 11*c - 14*c. Suppose -2*n + 0*n - l = 0, l = -c*n. Let v(m) = m**3 - m**2 - m + 3. Calculate v(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*h - 16*h + 9*h - h**2 as n*h**2 + o*h + u and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -761\/6045 + -3\/403. Let x be (-2)\/(-5) + (-33)\/(-30). Put 4, x, o in ascending order.\nAnswer: o, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/9)\/(2\/(-6)) + 4. Suppose -8*r + 3*s = -3*r - 30, 0 = -h*r + 4*s + 29. Solve -r*g + 7*g - g**2 + 5*g**2 = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (17 + -13 + -20)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 - 1 + 3*i + 6 + 66*i**3 - 55*i**3. Is j(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1267*d - 6346. Let r be b(-5). Suppose 12 + 68 = 3*o - 2*s, 4*o = -s + 92. Suppose -5*h = o + 36. Is r smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5128 + 5114. Put -5, 5, u, 1\/6 in increasing order.\nAnswer: u, -5, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**2\/6 + 55*n\/6 - 70\/3 = 0.\nAnswer: 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -13134.092 to the nearest ten.\nAnswer: -13130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2 - 7*w - 1. Let m(t) = -6*t**2 + 10*t + 2. Let q = -1394 + 1387. Determine q*p(v) - 5*m(v).\nAnswer: 2*v**2 - v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17582535*b**2*u**2 - 9*b**2*u + 2*b*u**2 + 1641018*b*u - 15*u**2 wrt u.\nAnswer: 35165070*b**2 + 4*b - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -8. Suppose 36 = -3*y + 54. Is t > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 7*b - 3. Determine f(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 9:54 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5\/13, 8\/13, 0.1, 4, -2, 1.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -21. Let u = 14 + -9. Solve h*d - 5 = d + c, -u*d + c = -13 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 267 = 197. Solve -13*c = -11*c + v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1340 - -1643. What is the highest common divisor of 404 and m?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.45, -4\/7, 0, 37\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -43168 at least -43168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 4*d - 10. Let k(l) = l + 247*l**2 - 246*l**2 - 3*l - 5. Let a(u) = -11*k(u) + 6*m(u). What is a(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 a, and 1 r when three letters picked without replacement from {z: 4, r: 3, a: 6, q: 4}?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7)**(12\/5)*k**(-1\/14)\/k**(-2\/33) assuming k is positive.\nAnswer: k**(38783\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7190 by -1.\nAnswer: 7190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*d = -13 - 636. Put 0, d, -4, -3 in descending order.\nAnswer: 0, -3, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 714\/59, 0.9, -2\/3.\nAnswer: -2\/3, -2\/9, 0.9, 714\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 453, 923, 1415, 1941, 2513, 3143, 3843?\nAnswer: 4625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 28 - 22 + 46*w**3.\nAnswer: 46*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgf when three letters picked without replacement from {v: 1, o: 1, g: 2, u: 1, f: 1, p: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus 2.4?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.16 - 1.84. Let g = 0.2 + 0.2. Which is the biggest value? (a) p (b) g (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*x + 80*x = 30*x - 484 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1012*t = 1014*t + 32 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*q - 28 = -42*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -19, -2250\/13 in decreasing order.\nAnswer: -2\/17, -19, -2250\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j**2. Let q(p) = 6*p - 3. Let c(y) be the third derivative of -5*y**4\/24 + y**3\/3 + 9*y**2. Let k(s) = 3*c(s) + 2*q(s). Calculate n(k(f)).\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 2079050878?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**2 + 7*o**2 - 10*o**2 + 11*o**2.\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - q - 13600191 = 0, -w = -9*q + 584210 - 7384229. Round w to the nearest one hundred thousand.\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535 + 365 = 15*x. Suppose x = -16*w + 76. Which is the nearest to w? (a) -2\/11 (b) 0.1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 108284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 151947463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 9*a - 8. Let g be v(6). Let r be 5\/g*(-1 + 1). Suppose 3*d + 4*f - 23 = 0, 5*d + 4*f = 5*f. Solve -j + d = r, t = 5*t - j + 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*z + 573 = -20*z - 555 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -1, -18, 23.\nAnswer: -18, -1, -1\/6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (33 + -17 - 18)\/((-4)\/6). Let n(q) = -q**2 + 5*q + 2. Let l be n(4). Suppose z + 10 = l*z. Calculate the highest common divisor of z and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 25*r. Let n be ((-2 - 0) + 29)\/1. Suppose -3*s - 3*i = -n, -81 = -2*s - 3*s + 4*i. Calculate the remainder when u(1) is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n = 2*x - 95 + 37, 1 = 2*x - 5 + 1 - 9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -318 and 18624 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*b**2\/4 + 42*b = 0. Calculate b.\nAnswer: -56\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 96, 709, 2378, 5631, 10996, 19001, 30174, 45043?\n\"Answer: 88*a**3 - 3*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -163 + 166. What is the hundreds digit of (-10 + q)\/(2 - 138\/68)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342292, -1369201, -3080716, -5476837, -8557564, -12322897, -16772836?\nAnswer: -21907381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*x**5 + 12281*x**4 - 2*x**3 + 17594443*x**2.\nAnswer: -2280*x**2 + 294744*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -9)\/(2\/(-28)). What is the highest common divisor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2230772187764?\nAnswer: 2230772187768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -22. Suppose -3*g + 28 + u = 0. Suppose g*m - 180 = 13*m. Calculate the least common multiple of m and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -119, -1036, -2567, -4712, -7471, -10844, -14831?\n\"Answer: -307*n**2 + 4*n + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*x, 3*m + x - 82 + 66 = 0. Solve -b = h - 6 + 2, m*b - 10 = -3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14671 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*j = 28, 5*j = -2*b + 188 - 176 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 9 + (-8 - (33 + -79)) + 23\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(10)\/(sqrt(2)*3))**2.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3 + 5. Let c = t - -10. Let x(h) be the second derivative of h**4\/12 - 5*h**3\/6 - 3*h**2 - 4*h. What is x(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20006 + 20010. Solve 162 - 156 = 2*g - 5*v, -12 = -s*g + v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4954 and 0.942844.\nAnswer: -4953.057156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -287*v - 577. Let b be a(-2). What is the smallest value in 22, -18, b, 0.4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 453*i**4\/4 - 258*i**2 - 672. What is the second derivative of v(z) wrt z?\nAnswer: 2718*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 3*m**2 - 1649*m + 3304. Calculate f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -240\/11, -5, -0.5.\nAnswer: -240\/11, -5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 12. Let a(q) = 18*q. Let y be a(1). Solve 0 = 3*f - b - z, 3*f - 3*b + 3 - y = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 303 = 5*w, -8*w - 3*g + 247 = -4*w. Calculate the remainder when w is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -0.08, -750, -5 in decreasing order.\nAnswer: 5, 2, -0.08, -5, -750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 259545377 a multiple of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-10) + 54\/(-15). Let k be 1\/2 - 2\/l. Let h be 2 - 0 - (k - 559). What is h rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 92135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -19*v**2 - 998*v + 28. Let d(s) = -10*s. Determine y(d(r)).\nAnswer: -1900*r**2 + 9980*r + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -13*o - 244. Calculate the smallest common multiple of z(-28) and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59.12 - 85.09. Round g to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z + 1. Let v = 5 - 3. Let k(b) = b + v*b + 0*b. What is 3*k(t) - 2*w(t)?\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.93097545 + -1.06902265. Let n = u - -10. What is n rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 1. Let z be (-57)\/(-95) + 3\/(-5). Solve z*u = u + l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 322356?\nAnswer: 2256492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -7.1. Let l = i + 1. Let x = 0.4 - l. Which is the nearest to 0? (a) -3 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q**2 + 15*q + 4. Let f(g) = 14*g**2 - 23*g - 6. What is 5*f(s) + 8*u(s)?\nAnswer: -2*s**2 + 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y - 3. Suppose -2*p + 7*p - j = 19, -3*j = -2*p + 5. Suppose p*q = -2*g + 36, -6 = -q - q. Calculate the smallest common multiple of g and h(3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8966239 micrometers to meters.\nAnswer: 0.0000008966239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 21 = -2*o, o = 2*o - 3. Differentiate v - 2 - 4 - 2*u with respect to u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -1\/5*j**3 + 3\/25*j**5 + 0*j**2 + 0*j - 2\/5*j**6 + 3\/5*j**4 + 3. What is x in u(x) = 0?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 7. Let v(c) = c**2 + 9*c - 1. Let i be v(-9). Let l = i - r. Sort -3, l, 4 in ascending order.\nAnswer: -3, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28897?\nAnswer: 11, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-14)\/3)\/((-9)\/((-5076)\/(-8)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(9) + sqrt(90)\/sqrt(810) + sqrt(9)).\nAnswer: 9*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 - 4*w + 4*w + (0 + 0 - 2)*((w - 2 + 2)*(-4*w - w + 4*w) + 4*w**2 - 5*w**2 + 0*w**2).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -11. Suppose -o*b = -4 - 4. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -150 or -2\/1615?\nAnswer: -2\/1615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * -0.1.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 + 62 + -60 + -1 + (-338 - -184)?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6516, 2, 17, 13 in descending order.\nAnswer: 17, 13, 2, -6516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*d - 4*j - j + 174, -4*d + j = -18. Solve 9*w + 3*m - 24 = d*w, -5*w - 3*m = -30 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/53)*h)\/h**1 assuming h is positive.\nAnswer: h**(-2\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5198012?\nAnswer: 2, 43, 47, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - 1\/(1\/(-2)). Is -2\/113 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -48. Let n(f) = -4*f**3 + 2*f**2 - 2*f. Let l be n(-3). Suppose -k*x + 3*x + l = 0. Does 33 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4672431 by -11.\nAnswer: 4672431\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 28*k**2 - 106*k + 11. Give i(5).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.640973791 and 6?\nAnswer: 2.359026209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**5 - 62*n**2 - 3863*n wrt n.\nAnswer: -40*n**3 - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116790529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 10*g**2 - 10*g - 7. Let p be s(9). Let u be p\/(10\/35*(-14)\/(-8)). What is the units digit of 50\/(-4)*u\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 346.\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5258597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -492.9 and -2869770.\nAnswer: -2870262.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 3*t**4\/4 + 4*t**3 - 3*t**2\/2 - 12*t + 4. Find b such that i(b) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 43926771 and -3.\nAnswer: 43926768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 186164 - 186164.265853. Let o = u + 0.266. What is o rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/229, -1, 0.4, -1\/3 in increasing order.\nAnswer: -1, -1\/3, -23\/229, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 55*b**2 - 2*b + 1. Let g be z(2). Let f be 26*(-3)\/24*-124. Suppose -3*l - f = -16*l. Calculate the greatest common divisor of l and g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 119 + 266. What are the prime factors of (i\/(-4) - 3)*(-128)\/(-48)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 1 = -9. Suppose 5*j + g = -3*d - 0, -d = 3*j - 2. Solve -4*u - 5*b - 21 = 0, -b - j - 3 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 + 3*t**3 - 2*t**3)*(-6 + 2 + 2) + 2*t**3 + t**3 - 2*t**3 + (2 + 2 + 0)*(-21*t - 415 + 415)*(-201*t + 201*t - 23*t**2).\nAnswer: 1931*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 228\/19) + -13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -11. Suppose -o*f + 3*c + 1 = -83, c + 84 = 4*f. Let m be 56\/f + 2\/(-3). Solve 0 = 3*j + 13 + m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) 2.2 (c) -2503\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13369166*t + 10068435 wrt t?\nAnswer: 13369166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 121973 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*y - 20449\/2 - 1\/2*y**2 = 0 for y.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.237 and -5.\nAnswer: 1.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*g = 107*g + 48. What is the greatest common factor of g and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((24\/9)\/(-4)). Suppose -3*w - 20 = -5*w. Solve -4*x = 5*d - w, 2*d - 5 = s*x - 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/30)\/((-2)\/(-84)). Suppose -5*o + 15 = z, -s = -3*z - 3*o + 5*o. Let a be (-3)\/(-6)*-2 + z. Is 12 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2567\/15 - 171. Let f = 4380 - 4381. What is the nearest to u in 0.2, -0.6, f, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42470081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-12)*-4 - -53. Let z = t - -441. Suppose -5*q + z = -288. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 141?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1404, 2809, 4214, 5619, 7024, 8429?\nAnswer: 9834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -30.7. Let q = v + -3.4. Suppose -4*y - 4*x - 20 = 0, 10 = -2*y - 2*x + 7*x. What is the nearest to 0 in q, 2, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 966?\nAnswer: 1\/966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 5*l = 4*l - 14, 5*n + 3*l = 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2212693, -2212737, -2212809, -2212909, -2213037, -2213193?\nAnswer: -2213377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -23572, 5, 7, -1.\nAnswer: -23572, -1, 5, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 4:04 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2674528?\nAnswer: 2, 83579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 19*j**2 - 50*j + 25. Determine s(15).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 6\/9)*(4 - (-108)\/(-24)). What is the biggest value in -1\/133, -0.6, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + ((3 + -3 + sqrt(208)*2)*4)**2.\nAnswer: 13308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/63 or 1\/41?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-2))\/(22\/(-33)). Let h = x + 12. Calculate the remainder when h is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0065347037 to 5 decimal places.\nAnswer: -0.00653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -97*q + 6. Let z be k(2). Suppose 7*t - 2*t = -10. List the prime factors of (z\/6)\/(t\/3).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.98 - -0.02. Let o = h - 10.1. Let k be -1*(1 + 18\/(-21)). Which is the closest to o? (a) -5\/3 (b) k (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 9:14 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -55 (b) 6 (c) 1.9 (d) -0.4 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((15 + -18)\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 17743527 divided by 3\nAnswer: 5914509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = p, 0 = -2*q - 3*p + 12 - 6 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460238 is divided by 14220.\nAnswer: 5198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 less than -0.107645486?\nAnswer: -15.107645486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + -57.999851. What is c rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 5*j. Let c(x) = 2*x**2 - 4*x - 1. Calculate -5*c(b) - 4*o(b).\nAnswer: -2*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 1)*(1 - 4 - 1)*(-x**2 - x**2 - 2*x**2) to the form n*x + s + z*x**2 and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k - 71. Let t be h(-18). Let u(b) = 100*b**3 - 35*b**2 - 10*b. Let d(r) = 11*r**3 - 4*r**2 - r. Let q(p) = t*d(p) - 6*u(p). Factor q(y).\nAnswer: 5*y*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**5\/60 + a**4\/6 + a**3\/3 - 7*a**2. Let x be f(4). Let y(u) = 2*u**x + 22*u - u**2 - 25*u - 4. Determine y(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/5)\/u**(-2)*u\/(u*u**(-8))*u\/u**(-8\/5)*(u\/u**1*u**(-1\/3)\/u)\/(u\/((u*u\/u**(1\/2))\/u))**(-4) assuming u is positive.\nAnswer: u**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*36393.\nAnswer: -145572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035633037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 131908303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2432101 (base 5) to base 4.\nAnswer: -23031031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from mammffc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*m = m - 135, 4*m - 208 = 5*f. Let y = -39 - f. What is the common denominator of 36\/7 and y\/(-10) + 21\/(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 2. Let b be m(-5). Let w be (-9)\/((-63)\/(-35))*2\/(-2). Suppose 7 = -w*t - 23. Sort t, 2, b in decreasing order.\nAnswer: b, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, -2\/11, 0, -1, -74.4, 8\/7?\nAnswer: -74.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 h when three letters picked without replacement from hahrawahhjhwh.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(0 - -2))\/(-5). Let k(w) = w**3 - 9*w**2 + 7*w + 8. Let m be k(8). Let a = m + j. What is the second smallest value in -1, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*h = -80, -3*k + h - 26 = -74. Calculate the smallest common multiple of (-165)\/(-3) + 1 + -2 and k.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4770\/(-65455)*(-182)\/(-21)?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - y - 32, -3*o - 3*y + 109 = 43. Suppose o + 3 = -7*g. What is the nearest to 2\/13 in g, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*b**3 + 16*b**3 + 4*b**2 - 8*b**3 - 5*b + b.\nAnswer: -b*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = 3*o, 0 = 3*y - 5*o - 55. Let q be (-1 + 0)\/(2\/(-60)). Suppose 0*z = 3*a - 3*z - q, -3*a - 5*z = 2. Solve -l + a*l = -y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29380 at most as big as -29381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 200 + -124. Let b = -76.00000033 + k. What is b rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + -71.84. Let w = 10 - 9.84. Let x = r - w. Which is the nearest to -1? (a) -3 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxi when three letters picked without replacement from vxrrxivblxibbrrvbvx.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*x + 65 = 5*n, -4*x - 28 = -n. What is the lowest common multiple of n and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (256\/896)\/((-2)\/(-42))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 850574397 is divided by 8944.\nAnswer: 8941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2. Let p(q) = -2766*q. Calculate p(a(c)).\nAnswer: -11064*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15 at least as big as 20563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*s - 874*s - 45933 - 35395 = 0 for s.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1687 is divided by 127.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 442008064 to the power of 1\/3, to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17\/10 + -207\/110. Let d = -681 - -684. Which is the nearest to w? (a) 0 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50780749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1 (c) -1\/3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 16*j**2 - 2867*j + 730. Give g(46).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3 - 56*n**2 - 100*n - 48 = 0. What is n?\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 + -48. Let m(s) be the second derivative of s**3\/6 + s**2 + 2*s. What are the prime factors of m(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbjjjhh. Give prob of sequence bh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1597438*0.4\nAnswer: -0.06389752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3. Suppose s = -q + 4. Let y(d) = -d + 1. Let t be y(-2). Solve -4*i = -t*k, q*i + k - 13 = -0*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3109 is divided by 155?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.95 - 19.\nAnswer: -36.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m + 1240 = 0. Suppose -w = w + m. What is w rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -1a4?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 21. Suppose 7*v + b - 228 = 4*v, 0 = -z*v - 2*b + 228. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 - -59. Is g <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.57? (a) 3 (b) 9\/5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/15 and -77\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-1) + (10 - 18). What is the closest to -3 in -0.4, a, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -45. Suppose j = 4*j - h*x - 126, j - 48 = -5*x. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 5. Suppose z - 32 = -3*z. Let s be f(z). Let l = s - 8. What is the greatest common divisor of 9 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4 = -5*b - 1, 0 = h - 5*b - 1. Solve -4*g + 11 = -4*u - h, 4*g - 5*u - 11 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167310157\/2017 + 82950. Let w = z + -170899\/157326. Find the common denominator of -71\/27 and w.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 15*p - 153. Let w be j(11). Suppose -194145 = -w*r - 1329345. Round r to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 5:39 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2041\/16 + 127. Find the common denominator of x and 5\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 382\/1 - (2 + (-2 - -4)). Suppose -67*z + b = -58*z. Solve -4*g - 22 + z = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.87 - 96.87. Let l = a - -40. Let g = l - -55.9999949. What is g rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 498 divide 271888578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24605 (base 7) in base 14?\nAnswer: 2505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 76\/99 + (-2)\/9. Suppose 10*z = 2*d - 26, 5*z - 10*z + 0*z = 4*d - 77. Let u be -4*((-46)\/44 + 1). Put u, n, z in decreasing order.\nAnswer: z, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/67 and -4082 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in -5\/2, 0.9, -24?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qubuqbubbiq. What is prob of picking 3 b?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42\/11, -0.5, 0.4, 4.\nAnswer: -42\/11, -0.5, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - z + 10 + 41 = 0, 0 = 4*l + 3*z - 105. What is the smallest common multiple of 51 and l?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*4.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 1. Let s be i(-7). Suppose -s*a + 16 = -3*a + 2*v, 8 = 4*v. Calculate the lowest common multiple of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(1 + -3 + 4). Let f be 1*-1 + -3 + d. What are the prime factors of 5\/(-20)*f*81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*u + 14 = -c, -c + 5*u - 6 = 0. Suppose -c*f - 7*f + 3168 = 0. Suppose 0 = -2*b + 1534 - f. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, k: 3, c: 8}. What is prob of picking 3 k and 1 c?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -1\/2 (b) 14 (c) -4 (d) 3 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38d4b (base 15) in base 6?\nAnswer: 3521555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 11228*d + 27 - 11657*d.\nAnswer: -429*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2691)\/(-390) + (-3)\/(-30).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69524 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265, -240, -213, -184, -153, -120?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 122*y = -96*y - 218, -j + y - 5 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (2*(-63)\/70)\/((-1)\/1490) and 126.\nAnswer: 18774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 121\/3 + (-2)\/6. Let h(u) = -4*u + 35. Let v be h(8). Solve 5*y - q = v*b, 3*b = -2*y - y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 5.8\nAnswer: -1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -14\/5 (b) -1\/7 (c) 79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6044841 * 2.\nAnswer: -1.2089682","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -25096 + 126953\/5. Let a = x - 293. Find the common denominator of a and (-8)\/(-6) - (-12)\/(-30).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vry when three letters picked without replacement from vyyybbbymrb?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 1:30 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r\/(r*r**(-14)))\/r*r)\/r**12)\/(r*r\/(r\/(r*r**(1\/10))))**(3\/22))**(7\/8) assuming r is positive.\nAnswer: r**(4179\/1760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/58678632 and -41\/48.\nAnswer: 117357264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(9)*-1 + sqrt(9) + sqrt(9) + sqrt(9)))\/(sqrt(243)*1).\nAnswer: -2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 3*y**2\/2 + 4*y - 2123. Let m be -6 - (-4 - 2*-1). Let j(s) = s + 1. Determine m*j(w) + 2*o(w).\nAnswer: 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -14*z - 2. Let f be k(-5). Suppose -4*d = 4*n - f, 0*n + 2*d + 46 = 2*n. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44075604?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8735 - -96087\/11. Which is the nearest to f? (a) -2 (b) -0.3 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10583139?\nAnswer: 3, 7, 503959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-30)\/(-1) + 0. Suppose 4*f + i + 3*i - 20 = 0, f + 5*i + 15 = 0. Let d be (-2 - -12)*12\/f. Calculate the highest common divisor of z and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 6. Suppose -3*h + 2*t = -7 - 12, 3*t = f*h - 33. What is the greatest common divisor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 + 9*h**2 - 4 + 4*h - 2*h**2 - 3*h**2. Let u be r(-4). What is the highest common factor of u and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -6\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 4)*(-y - 2*y + 2*y).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r. Let i(x) = -264*x. Let k(y) = -4*c(y) - i(y). Let s(h) = -h. Give k(s(m)).\nAnswer: -248*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 3 + 1198\/(-82). Let z = 7689\/574 + i. What is the common denominator of -29\/74 and z?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s. Suppose -9*r + 2*r + 14 = 0. Let q(t) = 158*t - 158*t + 2*t**r. Calculate d(q(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 1\/7, -0.06, -2\/3, -1\/72, -0.022?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -750220.\nAnswer: -1\/150044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 137310 and 607?\nAnswer: 83347170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*c + 22*c - 743 = -1198 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 328641630 to the power of 1\/4, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-43 + 58 + (-5 - 1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-119)\/28 + (-6)\/8. Let g be (-2)\/((-8)\/1) - c\/(-4). Which is smaller: g or 30?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1429440.75 to the nearest 100.\nAnswer: -1429400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706889.\nAnswer: 103, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -829.97 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4, -4\/7, 272, -2 in ascending order.\nAnswer: -4, -2, -4\/7, 0.5, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (972\/132 + -1)\/(21\/231)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-415 - -417)*(-8)\/(-7) - (-1 + (-9)\/(-7)). Find o, given that -9*o**p + 3\/5*o**4 - 18\/5 + 51\/5*o + 9\/5*o**3 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/24)\/((-248)\/93))\/((-6)\/4 + 0).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 7:35 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, k: 1, r: 3, f: 1, a: 1}. Give prob of picking 1 a and 1 c.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4\/5 + 70*w**3 + 2120*w**2 - 280*w - 42432\/5 = 0.\nAnswer: -136, -39, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172826 is divided by 5112?\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*j + 6891 - 1911. Suppose -j*k = -330*k - 482. Is 23 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*(0 + sqrt(147) + 4))**2.\nAnswer: 1400*sqrt(3) + 4075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 = -54*n + 24*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**3 - 525984262*i**2 - 34582430220968448*i + 34582430746952712 = 0.\nAnswer: -131496066, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, o: 15}. What is prob of picking 2 o?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**3 - 15*p**2 - 8*p - 8. Let c(f) = 2*f**3 + 3*f**3 - 3 - 16*f**2 + 0 - 6 - 8*f. Let u(t) = -5*c(t) + 6*w(t). Calculate u(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, v: 1, d: 1, w: 1, z: 1}. What is prob of picking 1 f, 1 w, and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*i + 4 = 0, 0*m - 5*i - 8 = -2*m. What is the units digit of (m - 2) + 1*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - 0) + -132 + 157?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 3*g**3 + 65*g**4 + g**3 - 67*g**4 as x*g + o*g**2 + u + l*g**4 + t*g**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10120222121323 - -1?\nAnswer: -10120222121322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(2 + sqrt(175)).\nAnswer: 5 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 5*b**7\/42 - b**6\/6 - 3*b**5\/4 + 25*b**4\/12 - 5*b**3\/3 - 129*b. Factor a(h).\nAnswer: 5*h*(h - 1)**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from ggggxgqqggqx?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923732333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1612.0894 + -0.0894. Let n = p - 1589.99872. Let y = -22 + n. Round y to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3 = 0, -5*p - 3*a = a - 329. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -11. Let b = -257\/1435 - -5\/41. Let j = -48\/385 + b. What is the closest to -10 in j, -2\/13, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -351 and 4.\nAnswer: -1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 7:17 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) 1 (c) -0.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 588880 - 588878.989764. Let l = -1.01 + o. Round l to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*i = 21*i + 8*i + 938 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 7)*(3*n + 3*n - 4*n)*(-1 + 2*n + 1)*(2*n - 3*n**2 - 2*n) - 33*n**3 + 11*n**4 + 33*n**3.\nAnswer: 107*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22948408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b - 33*b - 15 = 0. Calculate the smallest common multiple of b\/(-9) + 265\/15 and 7.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37963?\nAnswer: 37963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-51 - -51)*(-1)\/2. Put -1, 2, y, -3 in ascending order.\nAnswer: -3, -1, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 9*d**2 + d - 3. Let m be x(9). Let r = m - -31. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 17) + -44 + 76.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5663\/6 + 950. Calculate the common denominator of f and 29\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 - 150. Let k = 406 - 471.6. Let g = k - r. What is the closest to 0.3 in 2\/13, 5, g?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and ((-3)\/3)\/(((-4)\/16)\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 397*c - 394*c - 42 + 2 + 2 + 31.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 0 + 0*o + 1\/8*o**4 + 1\/60*o**5 + 0*o**3 + o**2. Find the second derivative of f(r) wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2. Let b(x) = -36*x + 1. What is n(b(a))?\nAnswer: 2592*a**2 - 144*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -67*c + 170. What is v(3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -5, -389.\nAnswer: -389, -5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53.934 + -54. Let r = a + -146.934. Let b = r + 146.99999937. Round b to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**5\/7 + 272*i**4\/7 - 8972*i**3\/7 - 18768*i**2\/7 - 9522*i\/7.\nAnswer: -2*i*(i - 69)**2*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57204, 226644, 509044, 904404, 1412724, 2034004, 2768244?\nAnswer: 3615444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.0731 - 297.24\nAnswer: -299.3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -431*a**2 + 1025*a + 5650.\nAnswer: -(a - 5)*(431*a + 1130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -585.5 - -583.5. What is the nearest to -2\/7 in 0.06, h, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181 divided by 1.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1068 divided by -89\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5678810576?\nAnswer: 2, 157, 2260673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 0*n - 1 + 1\/6*n**6 + 0*n**5 + 0*n**2 + 2\/3*n**3 + 0*n**4. Find the third derivative of s(d) wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (6 - 25) - -13 - (1 - 4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 8 = -0*o. Let m = 11 - o. Suppose 0 = 4*l - 5*l + m. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 173285198 and 175124?\nAnswer: 346570396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-15)\/(-12)*724\/10. Let f = w - -201. Solve 0 = -4*y + f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2379 a factor of 6102135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 37 = 5*s - 47, 3*q - 18 = -9*s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13.4379 from -373374.\nAnswer: -373360.5621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(5\/3)*t)\/(t\/(t**10*t)))**(15\/4) assuming t is positive.\nAnswer: t**(205\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 6:47 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from lxlcc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 3*c**2 + 0*c + 0 - 1\/15*c**5 + 0*c**4 + 0*c**3. Let v(t) = 2*t. What is v(a(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2545951?\nAnswer: 307, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -78 and -3.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1819 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 7:40 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 43*q - 696. What is v(13)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 0 + 4\/9*r**3 - 5\/18*r**4 - 1\/90*r**6 + 0*r + 4\/45*r**5 - 8*r**2. Factor g(m).\nAnswer: -4*(m - 2)*(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 5\/39, -13 in increasing order.\nAnswer: -13, 1\/11, 5\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**5 + 66306*q**4 - 331623*q**3 - 397830*q**2 + 2122368*q + 2122272 = 0.\nAnswer: -22107, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 44812207 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -72*u**5 + 8180764*u**4 - 232376987472*u**3 - 64549794420*u**2 = 0. What is u?\nAnswer: -5\/18, 0, 56811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 15. Let u = -37 + 24. Let s be (-2)\/(-4) + u\/14. Sort p, 5, s.\nAnswer: s, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -257 (c) -13\/6 (d) -1\/453\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((912\/(-32))\/19)\/((-21)\/(-560)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.52969 - 16328?\nAnswer: -16330.52969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 9.9. Let q = f - 1. Let c = q - -0.9000024. Round c to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-2\/13)\/g*g*g)**9 assuming g is positive.\nAnswer: g**(333\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2263703 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c - 13. Let q be z(-7). Let k be 3*(-4)\/q - -1. Let f(m) = m**3 - 2*m**2 - 2*m - 3. Let n be f(k). Put 7, n, -3 in decreasing order.\nAnswer: 7, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 1. Let q(b) = -4*b + 4. Let y be q(0). Let z(g) be the first derivative of -g**2\/2 + g + 1. Give y*w(m) - 3*z(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -77*f + 1313. Calculate r(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 2:05 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 800, 5, -2\/9, 3, -3, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/4 + 1835*l**2\/4 - 25901*l\/4 - 27735\/4 = 0. Calculate l.\nAnswer: -1849, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15880.\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58.1 - 58. Let s = z + -0.13. Which is smaller: s or 4\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (114*a**2 + 1882 - 1882)*(-3*a**2 + 4*a**2 + a**2) to the form q*a + x*a**3 + d + b*a**4 + i*a**2 and give b.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*g - 13*g = 18*g. Sort -3\/5, g, 3, 2\/5, 17 in descending order.\nAnswer: 17, 3, 2\/5, g, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebw when three letters picked without replacement from eveebbewe?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 397179783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -24389 less than -24404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 240113252444 + 5?\nAnswer: 240113252453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/5)\/((-69)\/(-460))*15\/100\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63835032 divided by -31917516?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k - 12*k - 63 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q + y + 23 = 38*q, 2*q - 5*y - 31 = 0. What is the third smallest value in -11\/5, q, -2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-6\/11))\/c*(c\/c**(-2\/59)*c)\/c)\/(c**(10\/3)\/c)**33 assuming c is positive.\nAnswer: c**(-49656\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/51 and -53\/21?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 7*t = -75. Let o be t - (-2 + -1) - -5. Suppose 5*r = -3*s + 1029, o*r + r = -s + 819. What are the prime factors of r?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4683764646 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*g, 3*z + 3*g + 0*g = -6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbo when three letters picked without replacement from cocccoococbcbbcoo.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v. Let d(w) be the first derivative of 5 - 4*w**2 + 0*w**2 - w**2 + 6*w**2. Give b(d(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*y + 85*q - 80*q, -3 = -2*y - q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 + 3*g**2 + 5*g - 3. Let y(x) = -7 + 4*x + 0*x + 0*x**2 + 3*x**2 + 0*x + 5 + x**3. Calculate -2*i(d) + 3*y(d).\nAnswer: -d**3 + 3*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + ((-1192899)\/(-22))\/(-3). Suppose 22265 = 2*j - 13891. Let u = k + j. Find the common denominator of -5\/22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 42 = 3*k, 5*k - 7*k + 13 = 3*u. Let g = 138 - k. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 224983, -2 in descending order.\nAnswer: 224983, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135 - -133)*114\/95.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 5:34 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b1 (base 13) to base 9.\nAnswer: -1526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10752 and -4.\nAnswer: -43008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**2. Suppose 3*n - 57 - 158 = -4*p, 209 = 4*p + 5*n. Let d(j) = -56 - 21*j + p. Give d(m(y)).\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d536 - 5?\nAnswer: -d53b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -2 (c) -1\/2 (d) 0 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + (25 - 11) - 10) + 0 - 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/(-7) + -2 + 62*544 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least -5524.2316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 1. Calculate f(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g = -41*g + 32. Solve -c - g*n = 4*c, 1 = 4*c + 3*n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-6))\/(2\/(-64)). Let a = -12 - n. Suppose 0 = 2*p - u - 15, 6*u - a*u = 6. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -5, 14, 5, -1\/77, -0.3, 1\/13?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -17. Let z be (-153)\/q - (-3)\/(-2). Let a be (-1346)\/3 - z\/18. What is a rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 5*d**2 - 4. Let q(j) be the third derivative of j**6\/120 - j**5\/15 + j**3\/2 + 2*j**2. What is 4*m(c) + 5*q(c)?\nAnswer: c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-12)\/16*(-2 - 0). Factor -2\/11*b + 0*b**2 + 0 + 2\/11*b**o.\nAnswer: 2*b*(b - 1)*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*t, -4*f + t - 4*t = -5. What is the remainder when 12 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dedbdeddyiee. What is prob of sequence eeb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -7.4428472?\nAnswer: 0.74428472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwtwtwtwwwwwtwtw.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36542 - -36542.2. Which is the third biggest value? (a) -32 (b) 53 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3010 = 5*k - o, 5*o - 1204 = 2*k. Let d = 69 - 48. What is the remainder when (-7)\/35 + k\/(-10) is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**3\/3 - 2*x**2 - 6*x. Let d be u(2). Determine a, given that 2*a**5 + 0 - 1\/2*a**2 + 7\/2*a**4 + d*a + a**3 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 13991135, -0.3.\nAnswer: -0.3, 2\/3, 13991135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 4 - 16 = l - 4*z - 8, 29*l + 5*z + 478 = 0 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 - 5 - 6*a + 12 + 4*a to the form r*a + j*a**3 + m + s*a**4 + q*a**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 73 = 109. What is the greatest common divisor of n and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 311 - 215. Suppose 3*j + 3*n = 45, 2*j - 2*n - g = -3*j. Calculate the remainder when j is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(6\/13)*l\/(l*l*l**49))\/((l*l\/(l\/((l*(l*l\/(l\/l**(-6\/17)*l))\/l*l)\/l*l)))\/((l**33\/l)\/l)) assuming l is positive.\nAnswer: l**(-4461\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246721 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3330 (base 5) in base 16?\nAnswer: 1d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/12 and 37\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - 2*h**3 - h + (h + h + 0*h)*(-h**2 - h**2 + 4*h**2) + 9*h - 2*h**2 + 0*h - 8*h - 39*h**3.\nAnswer: -37*h**3 - 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y - 61*y + 22*y + 1 to the form k*y + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 745, 747, 751, 757, 765, 775, 787?\n\"Answer: f**2 - f + 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b1b - -2?\nAnswer: -b19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**3 + 49. Let d(o) = -2*o**2. Give 4*d(n) + 3*u(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20784.476 rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -45. Let m = 14 + -22. What is the second smallest value in m, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-35\/6)*l\/(l**(-32)\/l)*(l**(12\/13))**(-49) assuming l is positive.\nAnswer: l**(-1331\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3742059699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -2415?\nAnswer: -2415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 2054?\nAnswer: 5\/2054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1489.31 - 756.4.\nAnswer: 732.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*n - 38, 5*r + 130 = -0*r + 5*n. Let v be 432\/r - 2\/(-5). Is -9 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -57.96. Suppose -65*u = -64*u - 10. Suppose 0 = -15*l - 5 - u. What is the biggest value in l, -0.03, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z + 24. Let p be i(8). Let r = p - -26. Suppose c + 1 = -3*h + 2*h, -4*h - 10 = c. Calculate the least common multiple of r and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i - 1 = 0. Let d be (-3 + (-4 - -6))*i. Let k be (-56)\/(-36) + (-2)\/d. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2\/5, -4, -8, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/78 and -155\/114816?\nAnswer: 114816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*u - 9652 = -7582 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-26 + (1 - 1) + -325 + 333).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-190)\/(-30))\/(10\/30) - 33.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5 + -4. Let f = j - 0.5. Let k(d) = 5*d**2 + 68*d - 1217. Let r be k(-24). What is the nearest to r in 3, f, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.218693 millilitres to litres.\nAnswer: 0.003218693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 3*s + 825. Calculate the common denominator of s\/(-36)*21\/(-10) and -113\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 - i**2 + 2*i. Let y(v) = v**3. Let n be -3 + (-1 - (3 - 3 - 3)). What is n*z(x) - 4*y(x)?\nAnswer: -2*x**3 + x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51900 = 2039*h - 2050*h + 9887. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7017 - 3) + (20\/10)\/(0 - 1). Solve 0 = -i*g + 7001*g + 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + 8*t - 11. Let k be b(3). Sort 4, -3, k.\nAnswer: k, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and 1980.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 768410637193\/3224 + -238340771. Let m be 1 + 2 + 6075\/(-2015). Let b = m - g. Calculate the common denominator of b and -9\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -17*m**2. Let t(o) = 5*o - 7. Calculate t(c(r)).\nAnswer: -85*r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**(-20)))\/x)\/(x\/((x\/(x\/((x*x**15*x)\/x)))\/x*x))*x**(-9)\/(x**3\/x) assuming x is positive.\nAnswer: x**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**3 - a**3 + 4*a - 5*a**3 + 2 - 2*a**2 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Suppose -1005*y + 1011*y = 0. Let a(t) be the second derivative of y - 1\/3*t**3 + 0*t**2 - t. Determine h(a(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17602 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17840 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 + 77 - 77)*(-5 + 3 + 0).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 519247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 m when four letters picked without replacement from {r: 3, m: 5}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iieoieizeil. Give prob of picking 1 l, 1 o, and 2 e.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 95173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.3, -44 in ascending order.\nAnswer: -44, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/3 - 59*k**2\/3 + 292*k\/3 + 161\/3.\nAnswer: (k - 23)*(k - 7)*(2*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1 - 4 - 2*m - 7*m**2 + 3*m**2 to the form x + o*m + t*m**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12444, 25233, 38366, 51843, 65664, 79829, 94338?\n\"Answer: 172*p**2 + 12273*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.5, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 841538 from 15296557.\nAnswer: 14455019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 3*y + 11 - 15 - 11.\nAnswer: -3*y - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 5*j = -2*n - 12, -4*n - 3*j = -20. What is the smallest common multiple of 24 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228768 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -27. Suppose -o = 3*u + 14. Let a be (-26)\/u + 5\/(-20). Calculate the highest common factor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/16)\/(2\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66005 - 7788653\/118. Is -2 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180249787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 666\/7 in 3, -2\/5, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 47258*u**3 + 94510*u**3 - 47256*u**3.\nAnswer: -4*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43\/3 + 14. Let n = 3.2 - 3. Let s = -0.3 + n. What is the closest to s in -6\/5, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1954945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 4*p + 1231, -5*k - 5*p - 496 = 734. Let a = 247 + k. Is -6\/11 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761228 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 46?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36280, -36277, -36272, -36265?\n\"Answer: v**2 - 36281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/5 + (-122)\/(-5). Let g be (6\/(-12))\/(1\/(-86)). Let z = g - k. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 26, 2, 1 in decreasing order.\nAnswer: 26, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 + -136. Differentiate -2301 + 0*d**b + 2268 - 4*d**2 wrt d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 2*l - 8. Calculate the lowest common multiple of r(5) and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/10*(-1)\/190*-8.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbksffsdfffsffkks. Give prob of sequence sdb.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000758933 rounded to 6 dps?\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3202, 5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-91 + 91 - -23) + (-1 + 0 - -11)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -31 - 7 - 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*d + 79 + 123 = 0, 0 = 5*d + 25. Suppose 0 = q - 5*f - 30, 0 = 3*q + 3*f - 2*f - g. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 507254 + -507132. Suppose 5*x - 11 - 44 = 0. What is the remainder when d is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*q + 257*q - 61*q)*(-2*q + 5*q - q).\nAnswer: 530*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**2 + 32*w + 384. Let o(d) = 15*d. Calculate g(o(x)).\nAnswer: -30*x + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m**13*m)\/m)**(1\/40))**(3\/4) assuming m is positive.\nAnswer: m**(9\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9162 - -9160. Which is the third biggest value? (a) 0.1 (b) f (c) -2\/11 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-30)\/4)\/5*(-16)\/12. Suppose -4*y + 158 = n*b, 30 + 53 = 2*y - 3*b. What is the tens digit of (y\/(-50))\/(4\/(-370))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) + 69\/6. Let v be (b\/5)\/(2\/15). Suppose -2*t = -4*t + v. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**5\/70 + u**4\/14 + 2*u**3\/21 + 15*u + 7. Let k(p) be the first derivative of l(p). Factor k(n).\nAnswer: 2*n*(n + 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*z**3 - 20*z**3 + 3*z**4 + (4*z - 6*z + 0*z)*(-z**3 - z**3 + 4*z**3) + (9*z**4 + 5*z**4 - 6*z**4)*(-2 - 3 + 4).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/h**(-3))**(-21) assuming h is positive.\nAnswer: h**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -16*p. Calculate b(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 18*y**2. Let x(t) = t. Let f(s) = -26*s**2 - 52*s. Let u(c) = -f(c) - 52*x(c). Give u(k(w)).\nAnswer: 8424*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4860 divided by -6?\nAnswer: -810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 76100332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a gram in milligrams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59232629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 573020706 or 573020707?\nAnswer: 573020707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*f = -65, 17 = -u + 5*f + 62. Let t(k) = k**3 + 20*k**2 - 26*k + 35. Let v be t(-21). Calculate the highest common factor of v and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f. Let p(h) = 964*h**2. Calculate b(p(v)).\nAnswer: 1928*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, v: 1, c: 7}. Give prob of picking 1 c, 1 v, and 1 m.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 7384.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*u + 33*u + 8. What is the highest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3772\/631 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174 and 132131598?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*y**2 + 1 - 2*y**3 + 3*y**2 + 7*y**2 in the form c + m*y + v*y**3 + t*y**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 + 56\/(-12). Let x be 340\/(-1425) - d\/30. Which is the closest to 2? (a) -1\/9 (b) x (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b - 13. Let c(j) = 3*j + 12. Let i(s) = 6*c(s) + 5*o(s). What is i(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5197 - -10097. Is 35 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*b - 64, -13 = 2*d - 2*b - 35. Let i be (-7)\/9 - 4\/18. Let l be 0\/(1 + i - 1). Solve l = -5*u + u + d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1626000 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 6) to base 2\nAnswer: -110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 110*b**2 - 456*b + 50178. Give i(110).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72740 rounded to the nearest 1000?\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5598 to 2 decimal places.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -11. Suppose h - 13 = -5*i + 2*h, -3*i + 3*h + 15 = 0. What is the second derivative of -i*s**5 + v*s**5 - 2*s + 0*s**5 wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -2.3 (c) -0.4 (d) -4 (e) -0.2032\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -651, -1366, -2081, -2796?\n\"Answer: -715*c + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.3, -1\/7, 95.8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52593*g**2 + 2*g + 12288 wrt g?\nAnswer: 105186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -c1c9 (base 14) in base 6?\nAnswer: -414101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/5 + 6*f**3 - 116*f**2\/5 + 168*f\/5 - 16 = 0 for f.\nAnswer: 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkm when three letters picked without replacement from {r: 1, k: 3, y: 6, m: 3, f: 2}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 0 + 1 + -6 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 368, -0.32, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1123 - -1133. Let m = 0 - -13. What is the smallest common multiple of m and f?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 304, 262, 222, 184?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/((-50)\/(-4)))\/(7*13\/1820). What is the second biggest value in y, 2.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 3:03 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 100451066, 100451062, 100451056, 100451048?\n\"Answer: -r**2 - r + 100451068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/9 + (-4)\/6 - (13926 + -13929).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1734 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -352118775.8 - -352118659.80000106. Let l = -264 + 380. Let r = q + l. What is r rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10 - (-35)\/30*8. What is the second smallest value in 7, 0.09, k?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29226186 divided by -1328463\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -11*p + 51*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/477)\/(1*-2))\/((-6)\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72*165\/(-528))\/((-3)\/(-6))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1540 divided by -7\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*i + 2*i + 8, -4*j = -2*i - 6. Suppose -j*r - 18 + 32 = 0. Differentiate -r*u**3 + 3*u**3 + 1 + 4 + 4 with respect to u.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 12) + (2 - (0 + -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 + 1 - 1 + (2*x**5 - 1 + 1)*(0 - 7 + 2) + 2*x**5 - x**2 + x**2 + (-7*x - 6*x**2 + 7*x)*(x**3 + 4*x**3 - 4*x**3).\nAnswer: -16*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -179*z + 7. Let g(c) = -15*c - 1. Calculate 4*g(a) - n(a).\nAnswer: 119*a - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + 31*g - 9*g.\nAnswer: 29*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 9. Let k be 0*-3*(-1)\/g. Suppose 3 = -k*f + 3*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**4 - 70*t**3 - 258*t**2 + 5*t - 11. Let i(f) = -f**4 - f**2 - f + 2. Let o(b) = -g(b) - 5*i(b). Find the third derivative of o(d) wrt d.\nAnswer: 96*d + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56515 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -121, -180, -239?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 64276*r + 128568.\nAnswer: -4*(r - 16071)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55816, -111596, -167376, -223156, -278936?\nAnswer: -334716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.9, 0.6, -54?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11380 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 8*g - 15. Let v be l(-5). Let b = 7 + v. Suppose 170 = b*o - 131. Calculate the remainder when o is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 2*u + 0)*(-3*u**3 + 47*u**3 + 23*u**3) as x*u + n*u**2 + l*u**3 + h*u**4 + q and give l.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5147 - 5155 - 3*n**3 + 9*n**3 - 2*n**3 + n**3.\nAnswer: 5*n**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 495*193\/19107*(-67)\/4*(-12)\/15?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5241.307 millilitres in litres?\nAnswer: 5.241307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1520 - -1357. Let l = 0.057955 + 163.065045. Let h = l + a. Round h to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 1:40 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1164.8 - -1165. What is the second biggest value in t, -0.1, -1\/2, 1\/33?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44801.77 times -35?\nAnswer: 1568061.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 46?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 130 + 0\/3 + -1. Suppose 27 = 2*k - 3*p - 2*p, 4*k + 5*p - u = 0. What is the third derivative of -18*q**4 + 3*q**3 + q**2 + k*q**4 - 3*q**3 wrt q?\nAnswer: 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 10, 2, -10, -26, -46?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 4, 2, -628, -28?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 12 = 3*h, -2*h - 2 = 3*v + 10. Let w = v - -18. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 14*a + 30. Let s be y(-2). Let o(m) be the third derivative of 8*m**s + 0 + 0*m**4 + 0*m + 0*m**3 - 1\/30*m**5. Let i(f) = -20*f**2. Give i(o(d)).\nAnswer: -80*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -9*t**2 + 317*t - 374. Let f be s(34). Let h(k) be the third derivative of f*k + 1\/20*k**5 + 0 + 0*k**3 + 0*k**4 - 28*k**2. What is o in h(o) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -3bd?\nAnswer: 3bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 166*q + 2. Is p(1) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56764 and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 2*b + 7676 - 7651, -5*r + 330 = -69*b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 1. Let g(b) = 3*b - 3. What is -2*g(c) - 2*m(c)?\nAnswer: -4*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 136\/9293 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-10))\/(((-108)\/(-24))\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64946 is divided by 9271?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/12 and -28\/453?\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 351 divide 3176199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*h = -2*v + 1111, -87 = -3*v + 1020*h - 1023*h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**4 + 3326*u**3 - 296700*u**2 + 2715264*u - 6326208 = 0.\nAnswer: 4, 6, 84, 1569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331968*-1.\nAnswer: -331968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 258301 at most 258301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21252 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 229896275, 229896277, 229896279?\n\"Answer: 2*r + 229896273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hommhmhtco. What is prob of sequence mmh?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + (sqrt(300) - (0 + sqrt(300))*-4 - (sqrt(300)*-1 + -2 + sqrt(300)))) + -4)**2.\nAnswer: -1600*sqrt(3) + 30064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**3 + 5*w**3 - 11*w**3 - 17*w**2 + 4*w**3 + w**3 + 7*w**3 - 12*w**3.\nAnswer: -w**3 - 17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 4:25 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7579917 kilograms to tonnes.\nAnswer: 0.0007579917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 6. Suppose 0 = -j + l + 30. Suppose b + 3*b - 2*r - j = 0, -5*b + 4*r = -44. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17244.\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48469 is divided by 262.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(175\/20)*9\/((-126)\/7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2)*(17 - 17 + 9*l**2) to the form d*l + g*l**2 + q and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c**2 + 0*c + 0 + 2\/7*c**4 + 4\/7*c**3.\nAnswer: 2*c**3*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 2. Let i(v) = 4*v + 6. Let s(t) = 3*d(t) - i(t). Let b(y) = 2578*y**2. Determine s(b(k)).\nAnswer: -2578*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/3 + 494\/114. Solve 0*q + c = 5*q + b, q - 3*c = 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -49309, -49125, -48817, -48385?\n\"Answer: 62*c**2 - 2*c - 49369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 170344, 168922, 167502, 166084, 164668, 163254, 161842?\n\"Answer: q**2 - 1425*q + 171768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2474 + 2472. Let u(a) = -37*a - 3. Give u(v).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*d + 36*d - 68*d in the form r + q*d and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, q: 2, h: 1, b: 1}. What is prob of picking 2 q, 1 h, and 1 b?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202170 is divided by 1444?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.07 less than -4?\nAnswer: 3.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/16 (b) 27 (c) -0.5 (d) 5 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2835?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*i + 7 - 18*i + 4*i + 2*i to the form p*i + g and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5776248 kilograms in tonnes?\nAnswer: 0.0005776248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 24 - 16. What is the remainder when 17 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4653139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**(-11)*g))\/g)\/g*g\/((g\/(g**(-2\/9)*g))\/g))**3 assuming g is positive.\nAnswer: g**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5495.76 rounded to the nearest one hundred?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 131 = -359. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2666141.40271 and 0.14.\nAnswer: -2666141.26271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28819 divided by -2.\nAnswer: 28819\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 76 - 3*l**2 - 76 + 2*l**2. Let d(w) = 8*w + 8. Calculate y(d(g)).\nAnswer: -64*g**2 - 128*g - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 6\/(-8))*212\/(-265). Let p = -417 + 416.9. Sort k, -5, -0.9, p in increasing order.\nAnswer: -5, -0.9, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 91374.6 litres?\nAnswer: 91374600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 7 = -2*t, -4*t = -6*t - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 12710*r**2.\nAnswer: -5*r**2*(r + 2542)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/2*(-4 + 2). Let c be (-1)\/(3 - 5 - -1). List the prime factors of c\/(-3)*(0 - q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 821621\/547750 + 2\/273875. Determine d so that 3\/2*d**3 - f*d - 21\/2 + 21\/2*d**2 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j + 3*j + j + 12*j**3.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -1 + 22. Suppose 19 = 2*f - v*f + 4*t, 2*t - 2 = 0. Let h be ((45\/24)\/f)\/(4\/56). Which is smaller: -8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -40*o - 1868. Give d(-52).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 13, x: 3}. Give prob of sequence xxcx.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 252766861 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1450088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139717?\nAnswer: 31, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*f = 120*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, u: 5, d: 4}. What is prob of picking 1 j and 1 d?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 10. Let i be p(-5). Solve 11 + 9 = i*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*w = -4*v + 22, -4*v + 55 = -w. Let r = v + -3. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1737 * -125\nAnswer: -21.7125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.73 - 0.17. Let t = s + 1.4. Let n = 0.3 - -0.1. Which is the third smallest value? (a) n (b) t (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, k: 4, v: 2, q: 2, t: 1, i: 2}. Give prob of picking 1 k, 1 t, and 1 i.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 255 + -253. Calculate the remainder when 19 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = 3*l. Let c be (l + 5)*(1 + -8). Do c and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1272063046.\nAnswer: 2, 17, 587, 63737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 16. Suppose 0*q + q - 20 = 0. Let a be q\/(-9) - (-10)\/45. Which is greater: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (((-4)\/(-4))\/1 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-316)\/(-138) + 67\/1541\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0255 - -0.0045. Let a = -2093.97009 + 2094. Let z = d - a. Round z to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c**5 - 15441*c**4 - 303219*c**3 - 420069*c**2 + 7725*c + 140022 = 0.\nAnswer: -18, -1, 1\/2, 2593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-3)*(-6)\/(-4). Suppose 0 = -j*c + 4*a - 12, -19 = -c - 3*a. Suppose 3*d = -y - c*y + 6, 0 = 3*d - y - 6. Let b(n) = n. Give b(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8 and -49.\nAnswer: 88.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*r**4 - 37 + 40 - 5*r**4 wrt r?\nAnswer: -32*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 330 = f - x, 4*x = -4*f + 240. Let t = 142 + -103. What is the highest common divisor of t and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-90)\/4)\/(15\/(-20)). Let r(l) = 4*l**2 - l - 15. Let p be r(4). What is the highest common divisor of p and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -12. Let j = 1.1 - 0.6. Sort j, 8, b in descending order.\nAnswer: 8, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76987\/5213 <= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20771*m**5 + 24569*m?\nAnswer: 415420*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*sqrt(208) + 3) + 2.\nAnswer: -24*sqrt(13) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*q + 76*q = 1468181. Is q a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000010110001010 - 10110?\nAnswer: -110000010110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12227 - 12226.9. What is the nearest to 0.007 in 0.5, -1\/4, f, -0.7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3559, -11078, -23611, -41158, -63719, -91294, -123883?\nAnswer: -161486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 5. Let y(m) = 2*m - 6. Let h(n) = n - 6. Let l(i) = 3*h(i) - 2*y(i). Let s(x) = x**2 + 4*x - 6. Let f be s(-6). What is f*o(t) - 5*l(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-20))\/(-2*(-18)\/(-12))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**5 - 28354002*i**4 + 102831702*i**2?\nAnswer: 180*i**2 - 680496048*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208715 is divided by 604342?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -391*g**2 - 35192*g + 190. What is i(-90)?\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6289820750.\nAnswer: 2, 5, 25159283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -4, 1, 4 in ascending order.\nAnswer: -4, 1, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39539 is divided by 1730?\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 738764 and 8632?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(108)*1)**2 + -2 + (2*sqrt(3)*-2 - (-1 + sqrt(3) + sqrt(147))).\nAnswer: -12*sqrt(3) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94863.09m to kilometers.\nAnswer: 94.86309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -7.27, 37, -11, 0.1 in ascending order.\nAnswer: -11, -7.27, -3\/5, 0.1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.04 + -17. Let k = 478.66 + -486. Let u = w + k. What is u rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00118652175 rounded to six dps?\nAnswer: -0.001187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 3:30 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -238, -234, -220, -190, -138, -58?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-4)*6*10\/180\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(5) - (sqrt(5) + (sqrt(50)\/sqrt(2))\/sqrt(5))))*4.\nAnswer: -12 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*z - 421 - 179 = 0. Put z, -10, 18, -5 in decreasing order.\nAnswer: 18, z, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-1 - -3) - (58 - 61)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15250977 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -861 - -861.08. Which is the second biggest value? (a) -22 (b) p (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233469101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 884 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 29. Factor 5 + 3 + 4*w**2 - s - 1 + 8*w.\nAnswer: 4*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -399, -925, -2263, -4815, -8983, -15169, -23775, -35203?\n\"Answer: -67*f**3 - 4*f**2 - 45*f - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 76*c**2 + 2*c - 1. Let o be z(1). Suppose 3*v + o = 68. Let i be (v - (-30)\/4)*(1 - -1). Calculate the highest common divisor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18026, 18050, 18076, 18104, 18134, 18166?\nAnswer: 18200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 81*j + 4990. Give p(122).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12 - (3 - 3)\/1. Let o(i) = -18*i - 7. Let k be o(0). Let t be (-6)\/((-6)\/20*k\/(-21)). What is the greatest common factor of p and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 2)\/(-2)*0. Suppose -2*f - 3*f + 5 = u. Differentiate 3 - f + 5 - 5*g + 0 with respect to g.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375219775?\nAnswer: 5, 7, 37, 167, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/140*(-96)\/108)\/(2\/77).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -869, 18?\nAnswer: -869","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-2*(-24)\/128). List the prime factors of (-31400)\/z + (0 - 4\/(-6)).\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-21)\/(-27) - ((-212)\/(-18) + -12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169337 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 173005 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7304051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 407501*o**5\/60 + o**4\/8 + o**3\/3 + o**2. Let h be d(-2). What is h rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25627*w**2 - 724*w - 4 wrt w?\nAnswer: 51254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nsnnns. What is prob of picking 1 s and 3 n?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -35719, -73413, -111087, -148735, -186351, -223929, -261463, -298947?\n\"Answer: v**3 + 4*v**2 - 37713*v + 1989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqq when three letters picked without replacement from qqak.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 34 + k**2 + 59 - 650*k as p*k + w*k**2 + u and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -139 less than -9852\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001232951496 to 7 decimal places.\nAnswer: 0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 44487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 3042 = 562. What is the greatest common factor of d and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + sqrt(1300) + sqrt(1300) + 1) + 0 + 1)**2 + 3.\nAnswer: -1680*sqrt(13) + 187252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10*x**2 + 207*x - 625*x + 205*x + 213*x. Let s(v) = 34*v**2. Give h(s(g)).\nAnswer: 11560*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v - 3*m + 447 = 0, -2*v = -40*m + 45*m + 63 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28 + 214 + ((-189)\/(-21) - 8\/2). Solve -234*y + t*y + 78 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/36*(-13)\/(-130)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 3. Let x(c) = -c**3 + 5*c**2 - 5*c + 1. Let p be x(4). Let d be s(p). Let z(i) = -i**3 - 5*i**2 + 6*i + 7. What is the units digit of z(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 16*x - 28. Let t(k) = -k - 1. Let b(v) = -2789 + 8*v + 2789. Let m(c) = -b(c) - 5*t(c). Give -28*m(j) - 5*o(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0, -0.0173, -1, 31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3*m - 28312 = -28261, -3*m + m - 44 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000721 to seven dps.\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*d - 5*j - 29 - 22, 40*j = -d + 43*j + 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-20304)\/6016)\/(((-2)\/(-3) + (-33)\/(-18))\/5)\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f - 9 = 38*f, -b - 4*f + 523 = 0. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5189457*x**2. Let b(u) = 23*u**2. Determine k(b(a)).\nAnswer: -2745222753*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f + 2*f - 4*f + 2*f - f + 0*f + (2*f - 5*f + 2*f)*(-3 - 1 + 2) - 487*f - 298 + 298.\nAnswer: -483*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 10:00 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, q: 4}. What is prob of sequence qg?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 3:51 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8513 - 8585 = 8*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33043232 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 459 - 26*v + 1\/3*v**2 = 0. Calculate v.\nAnswer: 27, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110020200101121101 + -10?\nAnswer: 1110020200101121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -309, -224, -87, 114, 391, 756, 1221?\n\"Answer: 2*d**3 + 14*d**2 + 29*d - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1002 (base 4) to base 3\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9209429453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 not equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019\/2 > 510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a4416 - -4?\nAnswer: -a4412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127819\/35406 - -2\/1967. What is the common denominator of -9\/275 and h?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -53. Let k = -24 - l. Solve 2\/3*c**3 + k + 2\/3*c**2 - 2\/3*c - 2\/3*c**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*m - 223*m + 108*m to the form s + t*m and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0581 + 2.9419. Which is the biggest value? (a) d (b) -1 (c) 2.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 4*m**2 + 5*m + 3. Suppose 5*t = 32 - 7. Let v be b(t). Suppose 15 = -v*n + 6*n. Solve -n*c + 6 = -4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255409727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-222)\/(-30)*-7*15*(-10)\/210.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (48\/32)\/(12\/(-40)). What is the third biggest value in -3\/5, -1, -3\/2, y?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**3\/6 + 5*u**2 + 8*u. Let x be g(11). Which is smaller: 2\/23 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -232 + 457. Suppose 0 = -6*l + w - 39. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13378, -13376, -13374, -13372, -13370?\n\"Answer: 2*a - 13380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 3. Let r be k(6). Let z(c) = -2*c**2 + 18*c - 7. Let h be z(8). What are the prime factors of (r - h)\/(-1) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22898505 to the power of 1\/3, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39754 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w + 13. Let o(i) = 6*i - 12. Give -4*a(t) - 5*o(t).\nAnswer: -2*t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(1 + 1 + 0)*(-3 + 6933*z + 34 - 6932*z).\nAnswer: -4*z - 124","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 12*b**2 + 13*b - 6. Give s(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*w - 570. Let x = w - 28. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 161*z + 159*z = -63586, -4*z = -3*b + 190698. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99718 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 - 4*h + 33. Let a = -53 - -50. Let u be 2 - ((-24)\/a)\/4. Calculate the common denominator of j(u) and 151\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqr when three letters picked without replacement from urqbquoqmuqrq.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 0*k**5 + 9*k**5 + 6*k**2 - 20*k**4 - 4*k**4 + 9*k**3 = 0.\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - -2)*(-1)\/(-2). Suppose -h*t - 3 = -107. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6290045859 to the power of 1\/2, to the nearest integer?\nAnswer: 79310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 5134*h + 183528. Give z(-36).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 8*o**2 - 3*o + 32. Let g be r(8). Suppose -4*s - g = 0, 0 = -5*b - 8*s + 4*s + 1702. What is the greatest common divisor of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d. Let h(x) = 56*x**2 - 63*x + 63. Let k(j) = j**2 - j + 1. Let a(f) = 2*h(f) - 126*k(f). Give o(a(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56026450 to the power of 1\/2, to the nearest integer?\nAnswer: 7485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -v - 25, 4*v - 4*n = -5*n + 5. Suppose 3*o + 2 - 5 = v. Does o = 3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -409621, -819128, -1228635, -1638142, -2047649, -2457156?\nAnswer: -2866663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 + -1124324?\nAnswer: -1124401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20493172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhh when three letters picked without replacement from reyah?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 1309626?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -298, -593, -888, -1183, -1478?\nAnswer: -1773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 1, t: 12}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 321706041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a - a)*(-4*a**3 + 3*a**3 - 5*a**3) - 2*a**4 + 3*a**4 - 5*a**4 + (-6*a - 4*a**2 + 6*a)*(14*a**2 + 66 - 66) - 4*a**4 + 2*a**4 + a**4.\nAnswer: -49*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8\/(w*w**(-10)*w*w*w)*(w**(7\/3)\/w)\/(w*w**(2\/7)\/w))**(2\/49) assuming w is positive.\nAnswer: w**(632\/1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1343*x - 1444. Is s(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -498427 and -461?\nAnswer: 229774847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 86*n - 84*n + 3, -3*n = -3*u + 27 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 x, and 1 n when three letters picked without replacement from {x: 6, p: 2, n: 3, r: 4}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(91)*-1)\/sqrt(7) - sqrt(52)\/sqrt(4)*-4)*5)**2.\nAnswer: -90*sqrt(13) + 2934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -124, -163, -218, -289?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**4 + 355*t**3 - 200*t**2 - 132720*t - 846720 = 0.\nAnswer: -12, -8, 28, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-30) - 4*(-7)\/(-28)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 497.034ml to litres.\nAnswer: 0.497034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = r + 635, -4*f + 2*r = -r - 497. Let j be f\/24 + 5\/(-15). Solve -10*q + j*q = -25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13352.9355401 - -13297.93555. Let p = l - -55. Round p to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 4)*(5*s**2 - 3*s**2 - 3*s**2) - 1110 + 1110 - 7*s**2 to c*s**2 + y + a*s and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2782 and 15009746.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 2*o**2 + 4*o - 2. Let n be ((-10)\/20)\/((-1)\/4). Calculate r(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192 is divided by 390?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 921*f**3 + 0 + 79*f**3 - 125*f**3 + 0.\nAnswer: 875*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**3 - 4*y**2 - 5. Let c(b) = b**3 - 2*b**2 - 2. Give 7*c(z) - 3*p(z).\nAnswer: -2*z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 2*z - 32 = 0, -3*c - 2969*z + 11 = -2967*z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 + -100. Let c = 38 - 269\/7. What is the nearest to -2\/5 in 0.2, j, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 3*c**2 + 4*c - 1. Let x be t(3). Let i(y) = -y + 6. Let l be i(x). Are l and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/225458 and 81\/551480.\nAnswer: 76655720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 4*j - 3*j)*(0*j**2 + 2*j**2 + 0*j**2) - j**3 + 2*j**3 - 2*j**3 + (2 - 2*j - 2)*(-j**2 + 2*j**2 - 3*j**2) + 2*j**3 - j**3 - 2*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -9104.422 to the nearest ten.\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 15 = -0. Suppose -3*f - 4*x + 3 + 2 = 0, 2*f + 30 = 4*x. Sort 2, j, f in descending order.\nAnswer: 2, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 412*j**2 - 14 - 11.\nAnswer: 412*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2 + 6. Let y be ((-54)\/d)\/(15\/20). Solve 4*s - 5*g = 5, 3*s + 4*g - 3*g - y = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/2 (b) 2\/5 (c) 0.6 (d) -147\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*u + 2\/5*u**5 + 0*u**4 - 6\/5*u**3 - 4\/5*u**2.\nAnswer: 2*u**2*(u - 2)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*q**2 - 146*q**3 - 63*q - 40*q**2 + 130*q**2 - 49*q**2 wrt q?\nAnswer: -876*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, 0.19, -21 in increasing order.\nAnswer: -71, -21, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 815 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.018 - -66.\nAnswer: 66.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.71189 - -0.026921\nAnswer: 0.738811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 1\/70*i**7 + 11*i**2 - 1\/40*i**6 + 0*i + 1\/8*i**4 + 0*i**3 + 0 - 1\/20*i**5. Factor r(p).\nAnswer: 3*p*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 138.512 + -141. Let u = 1.275 + a. What is u rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -181666951*s + 2770026?\nAnswer: -181666951","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2290616 and 4103568.\nAnswer: 865852848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23293250.\nAnswer: 2, 5, 23, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 522399073?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-27)\/12)\/((-3)\/8). List the prime factors of (2\/(-3))\/(d\/(-243)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -110, -1\/4, -2\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*c - 1545, -4*w = -4*c - 1840 - 1252. Let t = c - -1649. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*h**6 - 2*h + 2*h**2 + 2*h**6 + 11*h**2 wrt h.\nAnswer: -3720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2928\/66599 + 2\/1417. What is the biggest value in -2\/5, h, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t\/t**15)\/t))\/t**(2\/5))\/(t**(-26)*t\/((t\/t**42)\/t)*t) assuming t is positive.\nAnswer: t**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 11:57 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -47, 0, -6 in decreasing order.\nAnswer: 32, 0, -6, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0.3. Suppose 3*y = -3*s - 1282 + 61, 0 = -y + 3*s - 399. Let v be 98\/(-160) + (-324)\/y. Which is the third smallest value? (a) -3\/2 (b) v (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u**2 - 5*u + 10. Let k(p) = 7*p**2 + 6*p - 9. Let y(m) = 5*k(m) + 6*v(m). What is the first derivative of y(w) wrt w?\nAnswer: -14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgqzqgqggkzqqq. What is prob of sequence zkg?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12862616 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(2) - ((sqrt(2) + sqrt(32))*-3)**2) + 1 - (-2*sqrt(4)\/sqrt(2) + sqrt(128) + 0).\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44712 and 522744?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 289375783 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3. Let r be (-12)\/18*(-7 + j). Suppose -2*v + 5*y + 19 = -v, r*y = -20. Let n(a) = -a**2 - 7*a - 5. Calculate n(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*w**2 + 22*w**2 - 10*w**2 + (3 - 3 - 1)*(-3*w**2 + w**2 + w**2) + (0*w**2 + 2*w**2 - 5*w**2)*(-8 - 4 + 19 - 6 + 5 + 2 + (3 - 5 + 3)*(-3 + 1 + 0)).\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/13 (b) -1\/8 (c) -4\/7 (d) 0.3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 558?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-3*(-2 + sqrt(98)))**2 + sqrt(98))*-6.\nAnswer: -7350*sqrt(2) + 27540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8863820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10*(-1)\/(-12))\/(-1). Let v = 0.09 - -4.91. Sort -1\/2, v, w in descending order.\nAnswer: v, w, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 1265?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3018151813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3320536 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 457 = -4*s, -1 = 3*m + 14. Suppose 0 = 2*v - 5*v + g + s, 2*v = -3*g + 86. Is v a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (-2*sqrt(204) - sqrt(204))*2 - sqrt(204))\/(sqrt(1728)*2)*3.\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*o - 7168 = -168*o. What is the remainder when 464 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 211*r + 2747. Calculate l(12).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/(-18) - 1)*-3*(-37 + 25). Which is bigger: 11 or m?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19cc14 + 42?\nAnswer: -19cba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = v + 5. Let h(o) = 1999999*o**2 - 2*o - 1. Let l be h(v). What is l rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(55)\/sqrt(5)))**2*-2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1253*m**2. Let d(o) = -149837*o. What is d(u(g))?\nAnswer: -187745761*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4897 + 14359 = 6*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 242333500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*z - 63 + 455 = -217 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 979357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -37*q. Let g(m) = m**4 - m. Let c(p) = -3*g(p) + j(p). Find the second derivative of c(i) wrt i.\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558312.\nAnswer: 2, 3, 43, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1386221730?\nAnswer: 2, 3, 5, 23, 31, 229, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/57924 and -43\/1679796?\nAnswer: 1679796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 3. Suppose -x + 3*x = -8. Let t(j) be the first derivative of -j**2 + 3*j - 21. What is x*t(z) - 3*r(z)?\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2447 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 10:05 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2850 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 10 - 49*z**5 + (-2*z**5 + 1 + z**5 + 1)*(2 - 1 + 1)*(-3 + 4 - 9).\nAnswer: -33*z**5 - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173602, -347230, -520906, -694654, -868498, -1042462, -1216570, -1390846?\nAnswer: -1565314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -202 + 355. Suppose 14*f = 2295 - y. Suppose -3*d - 173 = -4*i + 2*d, 4*i = d + f. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -578 - -578. Which is smaller: t or 3\/193?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*p*q**4 + 4941*p*q + 317*p - 7 wrt q.\nAnswer: 12*p*q**3 + 4941*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-12))\/h*h*h\/(h\/h**(-1\/6)))**28 assuming h is positive.\nAnswer: h**(1162\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 610029037 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 608388*j - 1318451?\nAnswer: 608388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 21901?\nAnswer: 306614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2 - f**3 + 0*f**3 - 4*f**2 + 3*f**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*z**2 + 102*z**2 - 58*z**2 to the form q + j*z**2 + i*z and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 5*u + 3. Let l be q(-3). Let y be -6*(1 + (-22)\/l). Suppose 8*h = 4*h + y. Solve -2*p = h*k - 26, 3*k + 5*p - 37 = -0*p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 227*c**2 - 11*c**4 + c + 10*c**4 - 2*c**3 as g*c**4 + i*c + n*c**2 + w*c**3 + l and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.93 in -2, -5, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4360*t. Let z(l) = l**2. What is z(b(p))?\nAnswer: 19009600*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 0. Which is the third biggest value? (a) 2\/7 (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 366472324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/21)*p*p)\/p**(16\/5) assuming p is positive.\nAnswer: p**(-26\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -5*n**4\/24 + n**3 - 6*n**2. Differentiate y(o) with respect to o.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47582333?\nAnswer: 37, 34757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/15 and -26\/2271975?\nAnswer: 2271975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 143 = -31*s. Let n(i) = i**2 + 14*i + 11. Calculate n(s).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - (-60)\/(-24))*(-4)\/(-21). Suppose -4*s = -3*s + 1. Let m be (s\/(-4) - 1) + 1. Which is the closest to 0? (a) i (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 - 35 = 3*f, 4*o + f = 174. Let h = o + 11. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.229 and 2.5?\nAnswer: 1.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -6 + 39 - (3 - (9 + -9 + 1))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -139, 0?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33969681 and 90?\nAnswer: 339696810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 17 + 33 + -53.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2\/6 + 136*w\/3 - 1510 = 0. What is w?\nAnswer: -302, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 48 = -4*s, 0*r - 3*r = -2*s - 34. Let i = 0 - -5. What is the highest common divisor of r and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 3*k + 5*g - 134, 3*k + 589*g - 298*g = 288*g + 54 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 0. Let i(r) = 9*r**3 + r + 1. Let f be i(h). Let x = 27 + f. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 298 = 6*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(5 + -10))\/((-10)\/(-6)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/19, -0.08, 0.2, -0.1, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116.81 + 2.19. Let s = a - 119.0000274. Round s to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 2*g + (2340*g - 1146*g - 1064*g)*(-5 + 2 + 0) to the form q + p*g and give p.\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -124 - -168. Which is greater: w or 500\/11?\nAnswer: 500\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(-2\/47)*b*b))\/b**(-17))\/((b*b**(-1\/3)*b)\/b)**(-17))**(-3\/17) assuming b is positive.\nAnswer: b**(-3860\/799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 2*g + 5*z, -69860*z = -g - 69855*z - 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3256 - -740. Let o = 4 + -2. Suppose m = o*k + 1604, -4*k - m - p = k. Round k to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1793)\/(-326)*(0 + 3218)?\nAnswer: 11, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100101101010 (base 2) in base 9?\nAnswer: -15480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2 - i + 7. Let n be o(8). Suppose n = -3*j + 4*s, 5*j + 2*s + 255 = 2*j. Let k be -2*j\/(-30)*-3. Solve -4*x = k + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -176957\/36 - -4916. What is the common denominator of j and 15\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 - 15*h - 44 + 15*h - 3*h**3 + 3*h**3 + 2*h**3 - 3*h**2 + 3*h**2 - h**3 + (-3*h + 0*h + 4*h)*(2*h**2 - h**2 + h**2) - 2*h**3 + h**3 + 4*h**3.\nAnswer: 5*h**3 - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6 = -2*p + 2, 2*p = -5*c + 8. Let w be 2*p\/(-490)*(-10)\/2. Let b = w + 915\/196. Find the common denominator of b and 45\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480968 to the power of 1\/2, to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 14 + 134 = 0. Find the second derivative of 10*a + 5*a**4 - t*a**4 + a + 4*a wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 + 4)\/(1\/(-9)). Suppose 0*b - 3*b - k = 0. Let h = b + 7. Is h at least -12\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -642*o**2 - 2093*o - 498. Calculate i(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4468, -9498, -14528?\n\"Answer: -5030*t + 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6240 and 260.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, j: 3, l: 3, y: 2, a: 2}. What is prob of picking 2 p and 1 y?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbvv when four letters picked without replacement from {v: 3, b: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-252)\/27)*-5\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 9*b - 4*b - 4567 = 0, 3*w = 4*b + 13758. List the prime factors of w.\nAnswer: 2, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2381?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1054687529 + -342.\nAnswer: -342.1054687529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 348156253?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2263, -2314, -2451, -2716, -3151, -3798?\nAnswer: -4699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25758? (a) 0.3 (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 4 + 22 = 34*k - 38, 4*k + k - 35 = -10 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**8\/42 - 13*r**4\/6 - 10*r**2 - 58. Let h(n) be the second derivative of u(n). What is the second derivative of h(j) wrt j?\nAnswer: -160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4052214 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245 < 1037042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1669*h - 3331*h + 988*h**2 + 1663*h to m*h**2 + i + j*h and give m.\nAnswer: 988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m - 6. Let y(r) = -29*r**2 + 12*r - 11. Let z be y(m). Calculate the remainder when 1\/(-4) - z\/44 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 9 = 3*g. Find the second derivative of 10*y**2 + 32*y + 2 - 14*y**2 - g*y**3 + 7*y**2 wrt y.\nAnswer: -78*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10)*(-7 - (-121)\/22)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11202000 (base 4) to base 15.\nAnswer: 6aa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -49 - (-17 - 9) - -15\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/4 - 74111*z\/4 - 37055\/2.\nAnswer: -(z + 1)*(z + 74110)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(4\/(-1136)))\/2. Suppose 2*w = -4*m + 3*w + 180, 3*m + w = r. Calculate the highest common divisor of m and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*m**2*q**2 - 3568*m**2 - 2844*m*q**3 + 451*m*q + 9*q**2 + q wrt q?\nAnswer: 104*m**2 - 17064*m*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 33 - (21 + -28 - -5). Let j be 94\/8*-2*-2. Let h = j + c. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9089062 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, -11, -20, -45, -92, -167, -276, -425?\n\"Answer: -t**3 + t**2 + 5*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 45, 164, 363, 642?\n\"Answer: 40*x**2 - x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -2*x - 5*n + 165, -4*x + 3*n = -321. What is the remainder when x is divided by 1\/(-3) - (-61)\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -275.91181 + 312.9116. Let s = b - 37. What is s rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -12*m. Let v(i) = -10023205*i + 1. Determine a(v(f)).\nAnswer: 120278460*f - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 9 = -0*i, -4*i = -x + 23. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -2, 5, 6 in ascending order.\nAnswer: -2, -4\/3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiizzizzizziqii. Give prob of sequence zz.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 4 - 14 - (-2 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) 0.4 (c) 17 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 641288543.2 rounded to the nearest one million?\nAnswer: 641000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319*p - 762837 = 8*p + 209038. Are 3125 and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 22161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.9759872kg?\nAnswer: 975987.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(2\/6*84\/14). Solve w = 2*f + 2 + 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-y + 6*y - 3*y)*(y + y + 3*y) + 0*y**2 - y**2 - y**2)*(18 + 107*y - 16 + 0).\nAnswer: 856*y**3 + 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -12 + 22 - (3 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 18*x + 30380 = 0. Let n = 1513 - x. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47631 is divided by 1820.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + s**2 - s + 5. Let x(j) = j**3 - j**2 + j - 4. Let i(f) = -2*t(f) - 3*x(f). Let k be i(0). Is 0.3 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 - 35\/(-20). Suppose 3*a = m*a - 79. Let z = -44 - a. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -1543\/13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442*a - 459*a + 11900 = 0. Calculate the highest common factor of 6400 and a.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(7\/2 - (-5)\/50*-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 5\/2944453 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 18. What is the first derivative of -8*j**3 - 42*j**a + 19*j**2 + 23*j**2 - 1 wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10881 and 1404.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1581743*g**2 + 3100*g - 61.\nAnswer: -3163486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -151210 * 0.08\nAnswer: -12096.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 671517476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05659 + 4.8.\nAnswer: 4.74341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 96\/(-45) - (-440)\/(-75)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/9)\/g*g**23)\/(g**(3\/2)\/g*g**11) assuming g is positive.\nAnswer: g**(187\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/15 - 53\/((-795)\/(-120)).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11141765.\nAnswer: 5, 67, 79, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/15)*f)**(-12)\/(((f\/(f*f**(-2\/45)))\/f)\/f**(-2\/29)) assuming f is positive.\nAnswer: f**(-16591\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - d**2 + d. Let q(w) = -8*w**3 - 3*w**2 + 3*w + 2. What is -q(l) + 3*x(l)?\nAnswer: 11*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*o - 2 + 11, -2*o - w = 3. What is the smallest common multiple of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1. Let c(f) = -34*f - 102. Determine c(b) + 102*p(b).\nAnswer: -34*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 341 and 15500?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 5*y. Let g be r(-6). Suppose 22*w + 288 - 46 = 0. Is g >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13921\/9 + -1547. Is 0.23 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -5900718336.63.\nAnswer: -5900718336.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 3*a + 3*a)*(1 - 2 - 2)*(-2 + a + 2).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 5 + 1)*(3*z - 3*z - 2*z**2) - z**2 - 4*z**2 + 3*z**2 + (-5 + 0 + 3)*(3*z**2 - z**2 - z**2) - z**2 - 4*z**2 + 3*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1980 is divided by 82.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -249\/5. Let a(i) be the first derivative of -i**2 + 0*i**4 + 0*i - 1 + s*i**5 + 0*i**3. What is the second derivative of a(t) wrt t?\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.9204 (b) 1.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -26*c**5 + 590398*c**4\/9 - 373895374*c**3\/9 + 626695774*c**2\/3 - 114025112*c\/9 - 63403240\/9 = 0.\nAnswer: -2\/13, 2\/9, 5, 1259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 482*p + 499*p - 941*p - 20 + 0 + 0 + p + (-3*p + 3*p - p)*(-3 + 7 - 2).\nAnswer: 39*p - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 1:06 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8508b (base 15) to base 12.\nAnswer: -184272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3435552 + 1?\nAnswer: -3435551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26\/5 + -28\/5. Let i = -144105 + 144104.8. Which is the nearest to i? (a) s (b) -2.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 57\/2 of a millennium?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*x + 361508 - 363338 = 0. Solve 350 = x*p - 138 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - f**2 - 2*f - 4. Suppose 7 = l + q, 3*q = -2*l + 6*q + 4. What is the remainder when y(3) is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 17 + -11 + -11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, 0.3, -5, 432.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 + 7*w**5 - w**5 + (-2*w**3 + 2*w**3 - w**4)*(0 + w + 0) + 6*w**5 + 2*w**3 - 2*w**3 + (-2 - 3*w**2 + 2)*(-5 + 5 - w**3) - w + w + 2*w**5.\nAnswer: 14*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8838628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 5) + -5 + -20?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 135362573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11.756 * 172\nAnswer: -2022.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -27. Suppose -3*z + 2*j + 51 = 0, z + m = 4*j + 20. Let l = -15 + z. Solve -2 = -l*h + 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 + 3*z**2 - 3*z - 5. What is g(-3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 713 by 3.\nAnswer: 713\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -288713, -288789, -288865, -288941?\nAnswer: -289017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -79*s. Let x(r) = 935*r. Let n(d) = 35*q(d) + 3*x(d). Let j(k) = 18*k. Give j(n(f)).\nAnswer: 720*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 131528885767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 84585072 a multiple of 3432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*r + 12*r + 6*r)*(2 + 1 - 1)*(8*r - 1 + 1)*(-6*r**2 - 45 + 45) as j + p*r**4 + h*r + m*r**3 + i*r**2 and give p.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jski when four letters picked without replacement from zkkkkkkkikzkkjzsizkb.\nAnswer: 11\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 - -414. What is the smallest common multiple of k and 6?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4576379 divided by 111619?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - h**2 + h + 1. Let x(a) = 5*a**3 + 10*a**2 + 6*a - 4. Let w(u) = 4*p(u) + x(u). Let v = -12796 - -12792. Give w(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1781 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2475349 to the nearest integer?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10359\/138 - (-65 - -140).\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.5000151 - -3.5. What is z rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(96\/3))\/(21\/12)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 61\/2 of a century?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4179, -8364, -12549?\n\"Answer: -4185*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 10*t**2 + t + 8. Let n be o(-10). Let l be 6\/n*(-45)\/(-108). Which is greater: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from jkjkfjfjjjjffkffkkf?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -f + 6. Does 3 divide (-8575)\/(-315) - (4\/9)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -349, -523, -697, -871?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 3:07 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26978 divided by -47?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 2*h + 1 + 18, 5*g + 2*h = 29. Solve -g = 7*m - 19 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 788*f**3 - 3 + 779*f**3.\nAnswer: -9*f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8001986mg to tonnes.\nAnswer: 0.0000000008001986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 4163 + 2*k**2 + 2 - 3*k.\nAnswer: 3*k**2 - 3*k - 4161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/221 + -894\/1105. Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-3 + sqrt(7) + -1)**2 + -5 + sqrt(567).\nAnswer: 24 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.88 - 0.12. Let c(k) = 2*k - 23. Let y be c(15). Let t be y + 105\/(-10) - (-1 - 3). What is the smallest value in h, t, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-3))\/(2\/6). Let g = 1 - 0. Does 15 divide (-46)\/(1\/(g\/j))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 529 - 346. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*v = 90*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8347.4 - 8347. Let l = -5 + 3. Which is the closest to l? (a) 2.1 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + (-19 + (-12 - -55) - 29).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 6*y = 732. Let u = y - 81. What are the prime factors of u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12229.0000058746 - -12229. Round v to 7 dps.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 + 4*s - 8. Let o be v(7). Let c = o + 83. Suppose 0 = -c*h + 8*h - 312. What is the greatest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-5) + (-8)\/10. Suppose a = q*n + 5 + 7, -20 = -4*a + n. Differentiate a*z**4 - 19 - 3*z**4 + 13 + 2*z**4 with respect to z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3 - 6*j**2 + 56*j = 0 for j.\nAnswer: -7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 73 (c) 3 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 - 851 - 857 + 1708 - 18*h**3.\nAnswer: -17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*g, -2*r = r - 2*g + 14. Let u = -508\/415 + 2\/83. Is r smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 759*y - 3 + 1024*y.\nAnswer: 1783*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 441362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 803 = 23. What is the remainder when 24 is divided by g\/50*(-10)\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 757 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1320909.\nAnswer: 3, 440303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 7 + 207*c**2 + 0 + 9 to l*c**2 + b + f*c and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467744988?\nAnswer: 2, 3, 31, 239, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33092662\/1133 - 29208. Let x = d - 18114\/7931. Which is smaller: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 1 + 0)*(-4*q - 2*q + 4*q) as d + r*q and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 139*f - 9867. Determine z(71).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -5. Suppose 5*o - n*o = -8. Let q be (-15)\/(-13) - (o + -3). Sort 5\/3, q, -12 in increasing order.\nAnswer: -12, q, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 11}. Give prob of picking 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -10*v - 17. Suppose -15*g - 135 = -18*g. Suppose g + 9 = -6*m. What is the tens digit of n(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 417 = -3*u, o - 658 = 4*o + 2*u. What is the tens digit of (1\/(-2))\/(4\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.1, -3, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3334111408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25374*i**2 - 42526*i wrt i?\nAnswer: 50748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + 0.06. Let c be 8*(2\/(-4) - -1). Suppose 0 = -5*x + 5*d, -3*d = -c*x - 2 - 1. What is the second biggest value in -1, x, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 108487 and -37.8595365.\nAnswer: 108449.1404635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 22*d + 102. Calculate the remainder when 301 is divided by n(-23).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - 4. Let a be s(3). Let q(o) = -2*o**a + 0*o**2 + o**2 - 5 + 20 + 2*o. Let r be q(5). Solve d + d + 10 = r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**4\/4 + 3*t**3\/2 - 3*t**2 - 7*t + 4. Let v(i) be the first derivative of j(i). Factor v(m).\nAnswer: -3*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4072 - 4097.27. What is a rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3335023*p**3 - 3147596*p**2 wrt p.\nAnswer: -20010138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 25*t + 24. Let y be i(24). Let f be y + 1 - 2*(-8 + 5). Solve -13 = 2*g - 5*c, -3*g + 2*g + 3*c = f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027675 times -0.15?\nAnswer: -0.00415125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((2632\/(-6))\/7)\/((-5)\/(-15)). Let v = q - -371. List the prime factors of v.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100860 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**4 + 5247336*a**3 - 2*a - 88330343?\nAnswer: -8*a**3 + 15742008*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 180 = 8*q. What is the remainder when 77 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 139*w + 400. Let l be f(20). Calculate the greatest common divisor of l and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) 0.1 (c) 13\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than 1433734267?\nAnswer: 1433734257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3769 + 0.0169. What is the fourth biggest value in 0.4, 1, q, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2. Let r = -9 + 9. Let j(p) be the third derivative of -p**2 + 0*p**3 + 0 + 1\/20*p**5 + r*p + 0*p**4. Calculate j(x(o)).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s. Let k(g) = -g - 4. Let h be k(-8). Suppose -z + 6 = -h*z. What is the units digit of o(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16424?\nAnswer: 2, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -186*q**3 + 2*q**2 + 2*q + 1. Suppose -2*s = -7*s - 5. Is m(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 0, -1, -4, -9, -16?\n\"Answer: -h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a0d6 (base 16) to base 5.\nAnswer: -111444201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 10:37 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143364727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -91fa?\nAnswer: 91f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:10 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 22, 2\/3, 609, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*t = -17*t + 42 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**3 - 1 - 4*t**3 - 2*t**2 + 0*t + t. Let g(n) = -n**3 + 4*n**2 - n + 2. Let d be g(4). What is s(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 - 4*n**2 - 3*n - 4. Let t(c) = c**2 + 5. Let x be t(0). Suppose -12 = -p + x*p. List the prime factors of o(p).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) + sqrt(85) + sqrt(85)*2)*-6 + sqrt(85))\/(sqrt(120)\/sqrt(6)) + 5*(sqrt(17) + 1 + -5 + 0))**2.\nAnswer: 260*sqrt(17) + 4473\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -22 - 10. Suppose 6 = -3*q + 3*x, 0 = -q - 2*q + 4*x - 6. Let k be (-24)\/s - 19\/q. Solve 0 = -5*h + 10 + 10, 2*h - k = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, -5, 126 in ascending order.\nAnswer: -111, -5, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - a - 1. Let f(g) = -3*g**2 - 2*g - 2. Let u(l) = -2*l**2 - l - 1. Let d(m) = 3*f(m) - 2*u(m). What is -3*d(o) + 12*h(o)?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 18 = a, 28 = 3*a - 5*m - 6. Let v be ((-3)\/9)\/(2\/(-12)). Factor -u**2 + a*u**v - 5*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 29 - 9 = -2*l, 4*c = 7*l + 41. Suppose 5*h + 2*q + 8 = 0, -4*q - 16 = -11*h + c*h. Suppose -2*m - 1 = -3. Solve h*i + m = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (0 + 8 - 12) - 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1521 and 1859?\nAnswer: 16731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 3)*((-6 + 0 + 4)*(-41*w - 26*w + 37*w) + 9*w - 5*w - 10*w) to g*w + z and give g.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**43)**(-41) assuming i is positive.\nAnswer: i**(-1763)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1987902 and 0.13.\nAnswer: -258427.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9\/283 - 2231\/52355. Let c = -3287\/555 + r. Find the common denominator of 1 - ((-46)\/(-16) - -1) and c.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*x = 264*x - 200*x + 4094 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817070 is divided by 683.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -2520.5288.\nAnswer: -2520.4288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 1:30 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 2882826?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (165\/(-605))\/((15\/2)\/5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b**3 + 91*b**2 + 4*b + 6. Let h(c) = -2*c**3 - c**2 - c - 1. Give -4*h(x) - w(x).\nAnswer: x**3 - 87*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 - 4*c - 3. Let d(u) = u + 1. Give -4*d(p) - m(p).\nAnswer: -2*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 55012, 109782, 164552?\n\"Answer: 54770*v + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*t + 71, -8 = 3*t + 4. Suppose -5*x = d - 20, x - 4 = 6*d - 2*d. Suppose -g = -a + 2*i + 3*i, x*a = i + 331. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-3 - 13)) + ((-10252)\/(-363))\/(-4)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.165 + 2376\nAnswer: 2374.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53791?\nAnswer: 53791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 1 + 11. Suppose c*g - g - 56 = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506111059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1942 + -1947. Sort -17, f, -1, 2, -4 in ascending order.\nAnswer: -17, f, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-129*p + 384*p + 222*p)*(-4*p**2 + 2*p**2 + p**2)*(-6 + 6 - 6*p) as n*p**3 + t*p**4 + m*p + o + j*p**2 and give t.\nAnswer: 2862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 485648084 to the power of 1\/2, to the nearest integer?\nAnswer: 22037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + g = -2*g - 32, -4*h + 40 = -g. Let y = 44 + -44. Suppose y = -3*f + 12 + 51. Calculate the remainder when f is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-2\/23))*x\/((x\/(x**(-8)\/x))\/x)*x**0*x**(-7))**(-50) assuming x is positive.\nAnswer: x**(17350\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 13822*w - 1. Calculate b(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52 - (117 - 61)) + -6 + -1 - -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -2. Suppose 3*l + 3*m = -3, m = 3*l + k*m - 1. Solve 6 = l*z + 18 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**2. Let s(u) = -23 + 23 - 2*u**2 + 85*u**2. Determine r(s(b)).\nAnswer: 27556*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(931) - sqrt(931))*6 + -2)**2.\nAnswer: -504*sqrt(19) + 301648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c - 9. Let j be g(5). Which is smaller: j or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7\/5, 0.2, 0.3 in ascending order.\nAnswer: -4, -7\/5, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 2*f**5 + 3*f**4 - 3*f**4)*(2 - 1 - 3 - 2 - 1 + 5 + (0 + 3 - 4)*(2 - 3 - 1) - 3 + 3 - 1).\nAnswer: 2*f**5 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 11:35 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/((-21)\/63)*-6. Solve 5*i = h - 34 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1891*n**3 + 61*n**2 + 61*n - 61. Let q(r) = -63*r**3 - 2*r**2 - 2*r + 2. Determine -2*b(s) - 61*q(s).\nAnswer: 61*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y - 15. Let f be o(0). Let z = f - -12. Does 7 divide (11 - 4)\/((-1)\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13640.000027561 - 13640. What is u rounded to six decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4339 + 4504. Which is the third biggest value? (a) -2\/7 (b) -2\/3 (c) -0.04 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4511002 + 1120?\nAnswer: -4505442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.229*309.149\nAnswer: 70.795121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 164, 330, 496, 662, 828?\n\"Answer: 166*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p. Suppose 5*i + 12 = 11*i. What is g(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 46?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.75 + 0.35. Which is the nearest to 1\/3? (a) -3\/2 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.016 + -0.029. Let v = t + -1.955. Which is the nearest to 3\/7? (a) v (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgckn. What is prob of picking 1 n and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 345550 to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19158, 39060, 58962, 78864, 98766?\nAnswer: 118668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4549 times -3?\nAnswer: 13647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 959 (c) 2 (d) 9 (e) 0.2 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1279422 and 3568914.\nAnswer: 67809366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18423, 18424, 18425, 18426, 18427, 18428?\nAnswer: 18429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*w = 45*w - 32. Solve 5*h - 3 + w = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d + 27e?\nAnswer: 29c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2492772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -770 - -10048\/13. Calculate the common denominator of -48\/247 and a.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**5\/20 - y**4\/12 - y**3\/2 + 5*y**2 - 1412*y. Calculate o(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/(-49)*-2*-1)\/((-23)\/(-161)). Factor 39\/4*h + 0 + 3\/8*h**b.\nAnswer: 3*h*(h + 26)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2\/19 (c) 6 (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ililill. Give prob of picking 1 i and 1 l.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2 - 28*x - 28. Let b be i(-5). What is the remainder when 54 is divided by (6\/4)\/1*(b + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 2*c = -845. Suppose -71*f = -c*f + 6. Which is smaller: 4\/17 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5 + 30 = 0. Suppose -3*s - 15 = x*a, a - 2 = 5*s - 5. Suppose -j - 121 = -4*r, 3*r + 2*j - 77 = -s*r. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + (sqrt(351) + sqrt(351)*1 - sqrt(351)))\/(1*sqrt(432) - sqrt(3)).\nAnswer: 4*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**4 - 6*y**3 + 6 + 12*y**2 + 18*y - 11 - 12*y - 8*y**2 = 0?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**4\/16 - 157*s**3\/12 - 95*s**2 - 426. Find g such that y(g) = 0.\nAnswer: -152, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*j - 35, 5*u + 6 = -3*j - 13. Find the third derivative of 5*a**2 - a**2 + 3*a**j - 3*a**2 + 4*a**5 wrt a.\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(8\/5)*u\/(u**2\/u))\/((u\/(u\/(u*u**(-2))))\/u*u*u**0) assuming u is positive.\nAnswer: u**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 908.6.\nAnswer: -272.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 39*k**2 + 434*k + 191. Give f(-48).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**5 - t + 1. Let b(m) = -5*m - 6*m**5 + 5 + m**2 - 5*m**2 + 2*m**5. Let y(z) = -b(z) + 5*d(z). Find the third derivative of y(u) wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25280 divided by 632?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 6*s + 1. Let y = 2 + -6. Determine o(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m - 22 = -3*q, 0 = 4*m - 2*q - 12. Suppose m*l + 0*r - 70 = -5*r, 52 = 2*l - 4*r. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.2 + 4.06. Let z = p - -0.03. Which is greater: z or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10738 is divided by 568?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, n: 11, q: 2, z: 1}. Give prob of sequence qnq.\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**8*c)\/c)**(-30)\/((c*c*(c*c\/c**21)\/c*c)\/(c*(c**21\/c)\/c*c)) assuming c is positive.\nAnswer: c**(-202)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271, 339, 405, 469, 531, 591, 649?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*u + 15 = -5*p, -u + 5 = p. What are the prime factors of (-5 - p)*(4 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 307274\/(-41901)*((-6)\/20)\/(-1).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (13 + (-816)\/62)\/(((-50)\/(-15))\/(-2))\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 5*v**2 + v + 2. Let o be i(-4). Let q = 28 + o. Is ((-65)\/q)\/((-1)\/4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 9:12 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-77) - 22\/(-42).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 9*g**2 + g - 2. Let o be v(2). Calculate the highest common factor of 24 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -49, -57, -77, -115, -177?\n\"Answer: -q**3 - q - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4545521681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1.02. Let j = v - -0.28. Let d = -14 - -13. Which is the second biggest value? (a) j (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/8))**(-3\/35) assuming r is positive.\nAnswer: r**(-3\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15, 68, 209, 480, 923, 1580, 2493, 3704?\n\"Answer: 7*w**3 + 2*w**2 - 2*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m. Let c(a) = -3*a**2 - 2*a. Give c(h) + 3*g(h).\nAnswer: -3*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(700) + (1*sqrt(700) + sqrt(700) + sqrt(700) - sqrt(700)) + 2 - ((sqrt(700) + 6*-1*sqrt(700) - sqrt(700)) + sqrt(700))) + 3)*-4*-4)**2.\nAnswer: 245760*sqrt(7) + 11478016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Are -63727461 and -63727461 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 27*o**2 + 1. Let a be k(-1). Let l = 67 - 64. Solve -4*m + 3*f = -4, l*f - a = -4*m - 0*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 199 + -139. Let o = 299 - 352. Let k = c + o. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3499087 to the nearest integer?\nAnswer: 1871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*q = 31971 - 10211 for q.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = -17*v + 310695 + 689024. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 12:12 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 11*g + 14. Let c be d(10). Let h(t) = t**2 + t + 2. Let j be h(0). What is the lowest common multiple of 18 and c\/3*3\/j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 527*j + 16352. Give z(-28).\nAnswer: 1596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.066699 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3259378 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2711398, -2711405, -2711412, -2711419?\n\"Answer: -7*y - 2711391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447933.\nAnswer: 3, 17, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -299*n + 330*n - 60791. Is n a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6294.9 - -6295. Which is the nearest to -3\/11? (a) -0.2 (b) q (c) -2\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/67 (b) -13\/9 (c) -3\/8 (d) 42\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 13*h - 28. Let y be d(9). Does 47 divide y\/3*282\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r**3 - 35*r**3 + 7*r**3 + 28*r**3.\nAnswer: 26*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 6*v - 4*v = 0, -5*s = 2*v + 2568050. What is s rounded to the nearest ten thousand?\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -12 + 7*m - 15 + 31 - 11. Let t(s) = -4*s + 3. What is 2*d(u) + 5*t(u)?\nAnswer: -6*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*v*z**2 + 2*v*z + 631019*v - z**2 - 1317172*z wrt v.\nAnswer: 9*z**2 + 2*z + 631019","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 9:41 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(0 - 4) - -5. Is x >= 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129910236 is divided by 2253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a millennium in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 96*(-4)\/16*3. Put -2, 1, r in decreasing order.\nAnswer: 1, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(-1*2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 11:33 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 4, i: 3}. Give prob of picking 1 o and 2 i.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -1*sqrt(2057) + -1 + 0 + (sqrt(2057)*1 - sqrt(2057)) + (sqrt(2057)*-2*4 - sqrt(2057) - sqrt(2057)))**2 + 1)*-6.\nAnswer: -1493388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4*(-1 + 7). Suppose -k + 144 = i*k. Is 1*(-1 + k)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*g - g. Sort 3, g, 0.3 in descending order.\nAnswer: g, 3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9c0 (base 14) to base 11\nAnswer: -14a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9\/34 + -1\/68. Let t = -7.17 - -2.12. Let c = -0.05 - t. What is the smallest value in a, 1\/2, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 8\/(-128) + -6 - -3. Let c(z) = -z**3 - 6*z**2 + 7*z + 1. Let r be (0 + 2)\/((-2)\/7). Let o be c(r). Is t <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*m - 4. Suppose -m = -2*s + s. Suppose 4*h - x - 68 - 96 = 0, 0 = -2*h - 5*x + 60. Calculate the greatest common factor of h and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, w: 3, x: 3, f: 3, z: 2}. What is prob of picking 1 f, 1 z, and 1 x?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkk. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 3, -5*m + 4 = -6*m - 3*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) -1.3 (c) 0.7 (d) -0.5 (e) 1 (f) -0.069 (g) 0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-19*28\/18620)\/(2\/(-7))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12, -28, -62, -126, -232, -392, -618, -922?\n\"Answer: -2*x**3 + 3*x**2 - 11*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -453046 - -453044.840484. Let f = -0.8155379 - n. Let d = f + -0.344. Round d to six dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7052, -7214, -7376?\n\"Answer: -162*g - 6890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(880)*2)\/((sqrt(5) - -1*sqrt(320))*5).\nAnswer: 8*sqrt(11)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14845 or 14840?\nAnswer: 14845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -666, -1489, -2652, -4161, -6022, -8241?\nAnswer: -10824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3097 by -523.\nAnswer: -3097\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1221010?\nAnswer: 1221012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 11 = -5*z, -2*z + 7 = -z - 5*v. Let o(c) be the second derivative of c**5\/10 + c**4\/4 - 2*c**3\/3 - c**2\/2 - c. List the prime factors of o(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -3 + -2 + (-3 - -7). What is the common denominator of ((-28)\/(-2744))\/(1 - 1\/j) and 95\/56?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = 0, -3*b = -5*b + m - 256. Let s = -108 - b. Suppose -n + 20 = -15. What is the remainder when n is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.405 and 4.\nAnswer: 6.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -823 - -825. Let o = 0 - 0. What is the closest to o in a, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*d*x**4 - 2*d*x**2*z + d*x*z - 2*x**6*z + 2*x**3*z**2 - 14*z**2 + 6*z wrt x?\nAnswer: 576*d*x - 240*x**3*z + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 8. Suppose 4*z = -z + 35. Let s be x(z). Suppose 3*q - 45 - s = 0. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 11841 + 11817 = 0. Find y, given that 12 - 20\/3*y**2 - l*y - 4\/3*y**3 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33 and -1.4.\nAnswer: -46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413.92l to millilitres.\nAnswer: 413920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 24*l + 1150. Let q be n(-45). Let p be ((-3)\/(-6))\/(1\/20). What is the highest common divisor of q and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + 5 - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**24*b**(-5)*b*b*b**(-10\/9)\/b*b\/(b\/b**27) assuming b is positive.\nAnswer: b**(413\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 173976078 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20996?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2355927440 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -5 (c) -13 (d) -0.2 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*p + 4 + 10*p - 6*p**2 - 5*p**2 - 23*p to q*p**2 + c + r*p and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.88 - 1. Let s = -53.1218 + 53. Let o = t - s. What is o rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and 245?\nAnswer: -6370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2621300 rounded to the nearest ten thousand?\nAnswer: -2620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 1. Let m(l) = 2*l**2 - 6*l - 3. Give -6*j(i) - m(i).\nAnswer: -2*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 118\/5 in 0, -7\/2, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9 + (-632)\/(-72) - 58\/(-18). Suppose 2*k = -5*j - 104 + 1237, 3*k + o = 0. List the prime factors of j.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/5 (b) 0.1 (c) -30758 (d) 5 (e) 2\/17 (f) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28453873 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 604651?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 6 = p, -i + 2 = -6*i + 2*p. Let l be (5\/15)\/((-1)\/63). Let o be i\/l + (-8)\/12. Which is the third smallest value? (a) 2 (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2*-2 - -3. Let c = 12 + f. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/(966\/105)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -3) + (-145)\/18. Let p = 41\/6 + o. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -219*f**4*j - 384*f**4 + 395892*j wrt f?\nAnswer: -876*f**3*j - 1536*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ab1 + 58?\nAnswer: 1b39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1026932 + 1446932. Suppose -50*r + q = -53*r. What is r rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxn when three letters picked without replacement from {c: 5, w: 3, k: 1, n: 1, x: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-984)\/300*2225\/356?\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1021)\/(-2042))\/(11\/(12760\/252) + 2\/(-10)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 6)*(-361*q + 15*q**2 + 361*q) to the form u + l*q**2 + z*q and give l.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**3 - 3*l - 1. Let x(r) = r**3 + r - 1. Let t(a) = f(a) + 3*x(a). Differentiate t(u) with respect to u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1675.26 rounded to the nearest ten?\nAnswer: -1680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -148159, -148137, -148101, -148051, -147987?\n\"Answer: 7*y**2 + y - 148167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**3\/3 - 6*y. Let n(c) = 1 - 11*c - 1 + 2*c. Give l(n(k)).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 517370396*h*k + 434386808*k wrt h?\nAnswer: 517370396*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -5, 6, 5, 80 in descending order.\nAnswer: 80, 6, 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1.1, 3, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 934595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -95, -98, -101, -104, -107?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*c + 2*w, 3*w = -0*c + c - 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbpxxbpbxbbpbp. What is prob of sequence pp?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/14*(12\/4 + -6)*(-19)\/6.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 116954933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from wbyywb.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(-2*sqrt(3)) - sqrt(12)*-1)**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 62 (b) 0.5 (c) 10898\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 1 (c) -4 (d) -0.028263 (e) -9 (f) 3\/4 (g) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 5*g + 3 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 + 225170?\nAnswer: 225153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 3. Let b be j(-2). Suppose -4*w = -b*w + 7. Suppose 4*p - 20 = 4*c, 0 = -4*p + 3*c + 9 + w. Solve 0 = v - 2 + p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t. Let x = 49 + -47. Let r(s) = s**2 + 9*s - 11. Let j be -24 + 27 - (13 + 0). Let p be r(j). Let h(k) = -k + 1. What is p*z(a) + x*h(a)?\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 5*y**2 + 2*y + 6. Let n be f(-5). Let k(s) = s**2 + s - 5. Give k(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 171 + 921*p + 930*p - 1854*p as h*p + f and give f.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4 - 3*s - 8*s - s + s. Calculate the remainder when d(-5) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -8*y**5\/35 - 3*y**4\/7 + 12*y**3\/7 + 16*y**2\/7 - 48*y\/7 + 1101. Let v(a) = 0. Calculate a.\nAnswer: -2, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 1. Let w(g) = -14*g - 3. Let z(p) = 9*p + 2. Let n(u) = -5*w(u) - 8*z(u). Suppose 2*d - 4*t = 6, -d + t - 1 = -4. Calculate d*b(y) - n(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114391078 is divided by 522?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**3\/6 + u**2\/2 - 3*u. Is 4 a factor of t(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 67 = 4*w - 4, -w + 3 = 3*h. Let k(b) = -2*b**3 - 24*b + 2 - 1 - 7*b**2 + b**3. Is k(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10946250 and 868750.\nAnswer: 54731250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 7*x**2 + 7*x - 9. Let u be l(-8). Let c(z) = -2*z - 2*z**2 + 4*z**2 - 4 + 2 + 1. List the prime factors of c(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4 + 17*h - 8*h - 5*h - 6*h. Let s be z(-9). What is the greatest common factor of s and 418?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/7 and -49\/3574.\nAnswer: 25018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*10\/4)\/((-22)\/22).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 6, 2*n - 432 = -0*n + j. Let r = n + -677. Round r to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 8:58 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-117))\/(((136\/16)\/(-17))\/(153\/(-34))).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -358166 (base 10) to base 5\nAnswer: -42430131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 749933297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 844, 6616, 22068, 51970, 101092, 174204?\n\"Answer: 795*m**3 + 70*m**2 - 3*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 8*s**2 + 14*s - 52. Let j(z) = -7*z**2 - 12*z + 52. Let i(d) = -6*c(d) - 7*j(d). Let t(k) = -3*k**2. Determine t(i(x)).\nAnswer: -3*x**4 + 312*x**2 - 8112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -11*v - 78. Let s be p(-7). Put s, 3, 14, -3 in descending order.\nAnswer: 14, 3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 1, 0 in decreasing order.\nAnswer: 1, 0, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 2048.06.\nAnswer: 14336.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4973 or 4965?\nAnswer: 4965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.251 * 7.\nAnswer: -1.757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h = -24. Suppose 3*k - 15 = -3*s + h, -s = 3*k - 15. Solve 0 = -3*o + 21 - s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 2:49 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8261.2 - 8261. Which is the closest to 0? (a) j (b) -570 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 6. Suppose -y - 16 = -4*s + 4, -2*y + 4*s = 28. Let g = y + 13. Let t be p(g). Which is the nearest to 0.1? (a) -6\/11 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*v = 2*q - 4, -v + 6 = -3*q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - h + 3*h + 10768 = 0, 0 = 5*m - 3*h - 10767. Suppose 2*k - 5*d + 0*d - m = 0, -5*d - 5415 = -5*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -110391651.3 to the nearest one hundred thousand.\nAnswer: -110400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 654.229g in tonnes?\nAnswer: 0.000654229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2 + 10. Let l be (-8)\/4 + 2\/(3 + -2). Sort l, j, 2 in decreasing order.\nAnswer: 2, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 8190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5 - 4074*o + 4072*o - 11. Let p(i) = -i - 2. Let y be p(4). What is the units digit of k(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38ea + 208?\nAnswer: -36e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -14726 (base 11) in base 2?\nAnswer: -101000101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**4\/4 + z**3\/3 + 5*z**2\/2 + 3*z + 38. Let o be x(-2). Solve 4*i = o*u + 11, i - 2*i = 5*u - 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**21\/(n*n\/((n**(-2\/67)*n)\/n)*n*n) assuming n is positive.\nAnswer: n**(1137\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -41*j + 39*j, 5*j + 3*c + 16 = 0. Calculate the common denominator of 111\/80 and ((-718)\/(-40) - 18)\/(j\/(-76)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -1. Is (-3)\/(z\/(-4)) + 215 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 659 + 1681 - 52 = 52*i. Solve 42 = i*q - 58*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322252 (base 8) in base 2?\nAnswer: -11010010010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n**2 + 3*n - 3. Let r(l) = -l**2 + 11. Let w be r(3). Let i(q) = 6*q**2 - 2*q + 2. What is w*c(a) + 3*i(a)?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.44 + -3.34. Let u = 4 + -1. Let v = c + u. Is -2 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4769 + 4775 - 6*y + 4771 - 19093 + 26*y + 4778.\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1426096, -2852190, -4278284, -5704378?\nAnswer: -7130472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/15*-2*(-96)\/(-64)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 291 + -170. Let k = 124 - d. Let v = 11 - 7. Which is the third smallest value? (a) k (b) v (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 65*m. Let g(y) = 11*y. Let k(w) = 35*g(w) - 6*p(w). Let n(v) be the first derivative of 0*v + 34 - 1\/2*v**2. Give n(k(o)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29323.27 litres in millilitres?\nAnswer: 29323270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 206 + 9*m**3 + m**2 + 212 - 4*m**3 + 20*m**3 - 417 as z + a*m**2 + i*m + k*m**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 46488?\nAnswer: 46488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4860 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 4) + 9 + -9 + 0 + 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 16. Suppose 0 = -f + 5*f + x. Let s be 3 + (-6 - f) + 5. Solve 0 = -s*v + 5*i - 15, -v = -0*v - 2*i + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.49 + 62.11. What is w rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27\/64 - 13841\/192. Let y = 71 + t. Which is the third biggest value? (a) -3\/4 (b) -0.05 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -11*l**2. Let w(z) = 2*z + 225. Let i(q) = 2*q + 261. Let b(a) = 6*i(a) - 7*w(a). Calculate k(b(h)).\nAnswer: -44*h**2 - 396*h - 891","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.575437 rounded to one decimal place?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103144 + 17893. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/195*5\/6*3\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -12, -4*o + 4*u + 1 - 5 = 0. Let f be o + 3 + 4\/(-2). Let x = 80 - 59. Solve -l + 11 = -4*t, 4*t = 5*l + f*t + x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + z - 45 = 62, 0 = r - 3*z + 49. Let n be 2\/4 + (-76)\/8 - 1. Let i = n - r. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1132321320 (base 4) to base 2.\nAnswer: -1011110111001111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32104836 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u. Let x be (6\/9)\/(2\/(-3)). Let b be 1\/2*(x + 1). Let d(w) = b*w + w + 0*w. What is d(s(n))?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39294723197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 15\/(13 + -8) + 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81872 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 - 190 - 159 + 308)*(3*n**2 - 14*n**2 - 4*n**2).\nAnswer: 15*n**5 + 615*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 9. Let y(x) = -68*x**2 + 31 - 17*x + 30*x**2 + 39*x**2. Let w be y(15). What is the nearest to w in a, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 834*g + 202*g + 246*g + 37178 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3887 - -1409. Suppose -2*p = y - 8651, y = 3*p - 7688 - c. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -3\/11 (c) 3217 (d) 0 (e) 2 (f) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 2)*(13*g - 12*g - 2 + 12*g) to the form r*g + w and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274069926*-0.4.\nAnswer: -109627970.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1780 + -1780.4. Which is the second smallest value? (a) u (b) -3 (c) -11.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 4508*u + 4505*u = -42, -u + 70 = -5*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22110665 divided by 4422133?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: -6*-2.095\nAnswer: 12.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 117, -3, 0.\nAnswer: -3, 0, 4, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/((-13)\/((-520)\/(-30))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39\/8 + 4177\/856. Let f = -4713\/1070 + r. Let b = 61\/15 + f. Calculate the common denominator of b and 7\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.02 + 0.02. Which is greater: -2\/3 or a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1607, -1609, -1611, -1613?\n\"Answer: -2*f - 1605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -0.8. Let x = w - 0.8. Which is the second smallest value? (a) -0.3 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 + 169*c**2 - 302*c - 60. What is the units digit of b(82)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (10 - -27) - (9 + 2 + (4 - 5)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12\/28 - 0)\/((-5)\/(-30695))?\nAnswer: 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/204 and -17\/30?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15157576?\nAnswer: 2, 7, 53, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-80)\/(-12))*12\/(-9)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -3, -8, -2, 5 in descending order.\nAnswer: 5, -2, -3, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.756020664 to 1 dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360) + 1*sqrt(360)*4 + sqrt(360))\/(-6*sqrt(288)*-1).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16*-0.11\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147975824.\nAnswer: 2, 269, 34381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Let t = 34 + -34. Solve l = 4*f - 2*f + 5*r - 5, -3*f - 4*r + 11 = t for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 0*g**2 - 3*g**2)*(14219*g + 1853*g + 2956*g - 6011*g + 8492*g).\nAnswer: -129054*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -19.06 * -21.2589\nAnswer: 405.194634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 21*l**3 - 6*l**2 - 6*l - 6. Let j(s) = 21*s**3 - 5*s**2 - 5*s - 5. Give -6*j(u) + 5*y(u).\nAnswer: -21*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7059287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 5*p**4\/12 - p**3\/3 - p**2 + 4*p. What is the remainder when h(2) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - -46. Calculate the greatest common divisor of v and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -568 + 568.7. What is the smallest value in 2, p, 2\/111?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 6*h = f - 74, 4*h - 120 = -5*f + 10*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2+-445\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92817 (base 12) to base 16.\nAnswer: -2eb13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 5. Let x be d(-4). Put 5, x, 4 in ascending order.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218231640?\nAnswer: 2, 3, 5, 11, 55109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2757151\/63597 - 2\/3741. Which is smaller: j or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/5 - 45629*n + 1368834\/5 = 0.\nAnswer: 6, 228139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**2 - 726*y - 5124. Calculate p(-7).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 304461652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 37658000 to the nearest one hundred thousand.\nAnswer: 37700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (0 - (-3 - -2)). Suppose -3*b = -5*k + k + 215, 5*k - 25 = 0. Let h be b\/(-156)*(-27)\/10. Which is bigger: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -204 and -1.1?\nAnswer: 224.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 8, s: 9, b: 2, f: 1}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5146 + -149220\/29. Let h = 18\/203 + n. Which is the nearest to 1? (a) 4 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26123 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from ybbsyysysvxyy?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-12)*-13 + 4. Is d less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 93\/(-48) + 4\/2. Let g(u) be the first derivative of i*u**4 + 3\/2*u**2 - 1\/2*u**3 - 2*u + 1. Determine z so that g(z) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 6*r + 5. Let p be m(-5). Let c(g) be the first derivative of -g**4\/4 + 10*g**3\/3 + 3*g**2\/2 - 5*g + 5. Is c(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 959925.6 weeks?\nAnswer: 580563002880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 454 - 449. Suppose -4*q = -h - 317, h = -4*q + 7*q - 237. Calculate the greatest common divisor of p and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, g: 1, o: 1, f: 1, r: 1}. What is prob of sequence ogr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.43 - -190.57. Let t = -202 + h. Suppose -2*m = s, -2*s = 5*m - 5 + 4. Sort -2\/13, t, 0.5, m in increasing order.\nAnswer: t, -2\/13, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6014338 litres in millilitres?\nAnswer: 601.4338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7535, -30124, -67721, -120326, -187939?\n\"Answer: -7504*b**2 - 77*b + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 7*p + 6. Let i be a(6). Suppose i*j = -3*q + j + 46, q + 6 = -5*j. What is the least common multiple of 18 and q?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-6)\/(-4))\/((-30)\/(-100)) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 0)\/((-1)\/4). Suppose 0 = -o*u + u. Suppose -b + 3*b = u. Solve -2*q + b = 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(68) - (sqrt(68) - (sqrt(68) + -2*(3*sqrt(68) + sqrt(68) + sqrt(68))))) + sqrt(68) + sqrt(68))*-5)\/((sqrt(768)*5)\/sqrt(3)))**2.\nAnswer: 833\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**6\/21 + 17*i**5\/70 + i**4\/2 + 11*i**3\/21 + 2*i**2\/7 + 106*i. Factor a(j).\nAnswer: 2*(j + 1)**3*(5*j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71392366 to the power of 1\/2, to the nearest integer?\nAnswer: 8449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220010619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**2\/3 + 30249*d - 22687\/3 = 0. What is d?\nAnswer: -22687, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*t + 2*j - 13, -5*j + 30 = 5*t. Suppose -5*u + 150 = -4*v + v, 4*v = t*u - 155. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3473 - 3523) + -6 + (2 - 2) - -8.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 245.52 and 0.05656.\nAnswer: 13.8866112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n + 4. Let v be a(0). Suppose -v*h - 2 = -2*h. Put -4, h, 3 in descending order.\nAnswer: 3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8523 divided by -6\nAnswer: -2841\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1665\/(-99) - 9*35\/21?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-255)\/34*(-40)\/6. Let g be (2\/1)\/(10\/t). What are the prime factors of g*(-2)\/20*-6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7258215?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -5\/3, -0.1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(7) + -2 + sqrt(5) + (-1 + sqrt(5)*3)**2.\nAnswer: -4*sqrt(5) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/39053 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6911447 rounded to two decimal places?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 + 16*u**3 + 84*u**2.\nAnswer: -u**2*(u - 6)*(5*u + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1003, 955, 907?\n\"Answer: -48*y + 1051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -6\/5 (c) 78.25 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 = -2*n, 5*v - 3*n = -7 - 20. Let u be v + (6 - 4\/(-1298)). Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 + 15*y - 13. Let m be f(4). Which is the closest to -1? (a) 2 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2. Let q(i) = 727*i + 911*i - 1638*i + 9546*i**2. Calculate q(j(d)).\nAnswer: 9546*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 3:22 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 19*v**2 + 16*v**2 - 48*v**2 + 15*v**2 - v - 4. Let b(d) = -2*d - 3. Let w be b(-3). Calculate f(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15179 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v - 34 + 2*v)*(5*v**2 + 0*v**2 + v**2).\nAnswer: 12*v**3 - 204*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*n**2 - 11170 + 11170 - 5*n**3.\nAnswer: -5*n**3 + 29*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*v - 62, -3*q + 53 = 4*v + v. Let p = 23 - q. Let c(a) = -p*a - 16*a + 21*a. Let r(h) = h. Calculate r(c(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/214 and 97\/20484.\nAnswer: 2191788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -446c99 (base 16) to base 5\nAnswer: -2121443444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y + 15 = 29 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -1) + (5 - ((-21 - -14) + 17)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-30)\/(-20))\/21\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 7*u - 1. Let p be x(6). Suppose -99 = -p*z + 26. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 1. Let k(h) = -h**3 + 4*h**2 + 2*h - 4. Let t be k(4). Let n(l) be the third derivative of -l**4\/24 + l**3\/6 - 9*l**2. Give t*n(f) + 3*w(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 1 + 3 + (sqrt(36)\/sqrt(2))\/sqrt(6).\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 37326274.41\nAnswer: -37326285.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7 - 3*q)*(3527 - 1692 - 1648) to the form u*q + m and give u.\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v - 3. Let h be i(2). Solve h*f - 10 = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + j + 9 = 0, -4 = -4*f + 5*j + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2432886359?\nAnswer: 2432886359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 7*h**5\/60 - 5*h**4\/12 - 53*h**3\/3 - 98*h**2. Is t(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1631040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, -17, -18?\n\"Answer: -j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 6*i**2 + 564*i + 7. Let c(m) = -m**3 - 8*m**2 - 563*m - 9. Determine -3*c(w) - 4*l(w).\nAnswer: -w**3 - 567*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o - 9*o + 10*o.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*x - 2224 = 0, 4*o + 2*x - 2228 = 5*x. Let s = o + -559. Sort 6, 16, s, -3 in decreasing order.\nAnswer: 16, 6, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 240*g**2 + 36*g - 114. Let u be z(3). Suppose f + i = 6932, -f + 4781 + u = 4*i. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/5 and 7\/207?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 5*n**3 - 3*n**3 - 2*n + n**3 to the form z*n + w*n**2 + f + t*n**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -614 + 3067\/5. Let w(k) = k**3 + 6*k**2 + k + 6. Let c be w(-6). Are c and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*w - 102910 - 95190, 48 = 8*n. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 7*s**2 + 7*s + 14. Calculate k(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25897*t + 5*t**2 - 52211*t + 26314*t.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31619783711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k + 3. Let j(w) = -317*w + 3*w + 317*w - 4. Determine 3*j(o) + 2*x(o).\nAnswer: 3*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -2*z - 12. Let i be 2\/(-110) - (-6)\/z. Sort -4\/9, 0.06, i, 0.3 in increasing order.\nAnswer: -4\/9, i, 0.06, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 - -171. Let w(p) = -3*p**3 - 13*p**2 - 19*p - 22. Calculate the remainder when u is divided by w(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 190500*w**2 - 190504*w.\nAnswer: 4*w*(w - 1)*(w + 47626)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -30. Let s = 602 - 513. What is the remainder when s is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.23543, 3, 0.24, 0, -0.5, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 3 + 5. Suppose -4 + 5 = l. Solve -l + 9 = b*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4408 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + r. Let s be d(-1). Let q(y) = -y**4 - 2. Let a(n) = -n**4 - 1. Let u(l) = s*q(l) + 2*a(l). Differentiate u(f) with respect to f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**5\/2 - 63*j**4 + 12360*j**3 - 24529*j**2 + 24465*j\/2 = 0.\nAnswer: -233, 0, 1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**3\/7 - 53451*k**2\/7 + 5156520*k\/7 = 0?\nAnswer: 0, 97, 17720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9642, 9575, 9508, 9441, 9374?\nAnswer: 9307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 8 = -4*v. Let k(a) = a**3 - 4*a**2 - a + 4. Let x(m) be the first derivative of m**4\/4 - 5*m**3\/3 - m**2\/2 + 5*m - 4. What is v*x(z) - 5*k(z)?\nAnswer: -z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(1584) + sqrt(1584)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 258785 + -258781. Suppose 5*w - 3*w - 6 = 2*r, 0 = 2*r + 2. Solve -q*t - w*f = 2*f + 12, -t - 2*f = 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*f + 93*f + 117*f - 1470 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3355*a - 216 = -3364*a. Solve -11*q + a = -31 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(204))\/(-1*sqrt(6)\/sqrt(2)) + (-1*(sqrt(187) - sqrt(187)*-2))\/(5*(sqrt(99) - sqrt(11))).\nAnswer: 37*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.51 + 0.28. Let o = 0.119 + -0.249. Let t = m - o. Is t < 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -302?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25 - 3b0?\nAnswer: -38b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23305.\nAnswer: 5, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -2*b - 38 + 56, 0 = y + 2*b - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 294, -11\/7, -1, -5 in increasing order.\nAnswer: -5, -11\/7, -1, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + (2*(sqrt(175) + -1) + (sqrt(175) - (-1*sqrt(175)*3 + sqrt(175))))*2)**2.\nAnswer: -400*sqrt(7) + 17516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 537105 divided by 587?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 2 - 3)*(-39*y + 2*y + 4*y) + 0*y - 3*y + 0*y)*(3*y - 4*y - y) as h*y + f*y**2 + w and give f.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 340546 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 0*v**2 + 5\/6*v**3 + 0 + 1\/4*v**5 + 0*v**4 + 4*v. What is the second derivative of j(n) wrt n?\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 + 14 - 20 + 8 + t + 2*t**2 to f + k*t**2 + j*t**3 + l*t and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.846 rounded to two decimal places?\nAnswer: -3.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 11991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, u: 5, v: 2}. Give prob of picking 2 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*p**3\/7 + 3498*p**2\/7 - 16488*p\/7 - 6912\/7 = 0.\nAnswer: -12\/31, 6, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.23 - 0.23. Let u = -7 + s. Let f = 347\/6 - 58. Which is the third biggest value? (a) -2\/9 (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -3\/5 (b) -1 (c) 6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12461 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tttttvttovvttttvv.\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((72\/(-480))\/(1\/(-5)) + -1).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30358)\/135915 + (-4)\/(-20). Let s = x + 2\/533. Let g = 95\/357 - s. Put 2, 0.3, -0.05, g in ascending order.\nAnswer: -0.05, g, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56186?\nAnswer: 2, 13, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 257? (a) 618 (b) -14 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i - 11*i - 19*i + 40*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164656 and 54448?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.2 (b) -1 (c) 7 (d) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 24*w - 12. What is the remainder when 27 is divided by q(13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f - 3*a = 27, 3*f + 5*a = -31. Is -11 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3400.82 + -1.\nAnswer: 3399.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**5\/240 - v**4\/24 - 15*v**3\/8 - 1095*v**2. Factor d(i).\nAnswer: (i - 9)*(i + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 5:17 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 107*d**2 + 60*d**2 - 10 + 44 - 9.\nAnswer: 167*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -o + 17, 2*o - 24 = 3*j + 4. Let i = j - -11. Suppose 5*f + 10 = 5*w, -2*w = i*f + 13 - 38. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36986.16 decades to centuries.\nAnswer: 3698.616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/22, -2\/7, 0.05, 1 in descending order.\nAnswer: 1, 0.05, 1\/22, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 6. Does 6 divide o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1710)\/(-4788))\/((-10)\/(-24))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30125188 divided by 8?\nAnswer: 7531297\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/12 and 71\/4482.\nAnswer: 8964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3428 is divided by 1690.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 679795*l**4 + 77*l**2 - 3*l + 3437.\nAnswer: 16315080*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*r**4 - 3401*r**3 - 14*r**2 - 104*r - 2?\nAnswer: -720*r - 20406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 887 - 886.7. Which is the nearest to 1? (a) k (b) 0 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4434559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5172*y - 4020*y - 959*y + 5094*y to the form r + g*y and give g.\nAnswer: -5057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*l - 9. Suppose 3 = -3*h - 5*r - 1, -5*r - 8 = h. Sort 4, l, h in decreasing order.\nAnswer: 4, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**3 - 7*d**2 + 199874*d + 24*d**2 - 399745*d - 17*d**2 + 199871*d.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/109 or 1?\nAnswer: 12\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p. Let y(x) = 3*x**2 - 2*x + 1. Let k be y(3). Suppose f + 5*t - k = 0, 2*f = 2*t - t. Let o(s) = -s**2 + s**2 - 2*s**f. What is o(h(m))?\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**5\/120 - 3*r**4\/16 - 7*r**3\/6 - 562*r**2 - 1. Factor b(o).\nAnswer: -(o + 2)*(o + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -206698103*l**4 + l**3 - 85456689*l**2.\nAnswer: -4960754472*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 11*i**2 - 18*i + 8. Let t be m(13). Suppose 4*p - t = -0*p. Let f = -16 + p. Calculate the remainder when 19 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d = -295 + 43. Let h = 25 - 9. 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: Three letters picked without replacement from {s: 9, p: 2, y: 7}. What is prob of picking 1 p, 1 s, and 1 y?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12*(4\/6)\/(-1). Let v = -18 - z. List the prime factors of 1\/(19\/v - -2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -16 + 85*t + 16 - 86*t. Let c(f) be the third derivative of -f**4\/12 - f**3\/6 + f**2. What is -c(o) + 3*i(o)?\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**3 + 6*q**2 + 12*q + 6. Factor d(i).\nAnswer: 3*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1569466634 by -478.\nAnswer: 3283403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*816.3.\nAnswer: -244.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 3*b + 37, 5*b - 15 = -31*z + 32*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1010358 divided by -56131\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**5\/30 - 11*z**4\/24 - 11*z**3\/6 + 413*z**2. Let h(a) = a**2 - 6*a - 6. What is -6*g(i) + 11*h(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -5\/3 (c) -7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 5:59 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 976*m\/7 + 2008\/7.\nAnswer: -2*(m - 2)*(7*m + 502)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/6 and 133\/66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 - -0.1. Let j = 49 + -51.4. Let k = j + 4.4. What is the second biggest value in 0, u, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1014.0931 or 1?\nAnswer: 1014.0931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 584 at most 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 + 342. Let d = -169 + k. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -77*w - 216. Calculate h(-2).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 190.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2861*5.\nAnswer: -1.4305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 2711.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-3)\/(-3))\/2. Suppose t = -3*z + 8*z. Suppose -4*o + 19629 + 12371 = z. Round o to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + l**2 + l + 6. Let f(h) = -h**2 + 18*h + 11. Let d be f(18). Suppose 88 = d*b - 7*b. Calculate the lowest common multiple of z(0) and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33, 57, 81, 105, 129?\n\"Answer: 24*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 8:48 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**3 + 2*z**2 - z + 1. Let h(a) = -10*a**3 - 6*a**2 + 4*a - 4. Let d be (-10)\/(-4)*(-12)\/(-15). Let m(s) = d*h(s) + 7*k(s). Determine m(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -672.184 and -0.008?\nAnswer: 5.377472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/24 + 125\/(-210)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40968 and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/63952 and -15\/5024.\nAnswer: 20080928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442 + 819 - 376 - 249*d.\nAnswer: -249*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/99)\/(10\/45*-3)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h - 9. Let t(k) = k - 4. Let y(c) = 4*c + 27. Suppose 0*n = -0*n - 2*n. Let z be y(n). Suppose 5*p + 4*p + z = 0. Determine p*q(d) + 7*t(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0189 - 0.0215. What is g rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcufuqf. Give prob of sequence qcu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 - -204. Suppose 0 = 2181*s - 2189*s - 1160. Let m = s + y. Which is greater: -9 or m?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -943 + 1879 - 4150*d**3 - 936 + d**2.\nAnswer: -4150*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by -200?\nAnswer: 57\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 16*k**2 - k + 31. Let a be x(16). What is the derivative of a*p**4 + 964*p**3 - 964*p**3 + 12 wrt p?\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 - -9)\/(-8) + (-52)\/(-16). Let k(o) be the first derivative of -q + 0*o**2 + 5*o + 0*o**3 - 1\/2*o**4. Find the first derivative of k(z) wrt z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + (-46)\/(-10)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -136.653 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26984977*d**4 - 7943014*d**2?\nAnswer: 647639448*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10*n**4 + n**3 + 7*n**2 - 7*n - 4. Let t(r) = -r**4 + r**2 - 2*r - 1. Let s(m) = -f(m) + 4*t(m). Find the third derivative of s(c) wrt c.\nAnswer: -336*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 9*s**2 + s + 1. Let f be z(-1). Suppose 3*b + 0 = 3*q - f, 3*b - q - 1 = 0. Solve -15 = h + b*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 - -67. Let p be (-91)\/k*(-1368)\/266. What is the greatest common factor of 36 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.60624 rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 12*z**3. Let h(l) = l**3 - 9*l**2 + 16*l + 14. Suppose 6 = 133*o - 132*o. Let g be h(o). Let d(i) = 3*i**3. What is g*x(w) - 9*d(w)?\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 5*j + 5. Let a be k(-5). Let w(x) = -x**2 + 6*x + 1. Calculate w(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 6*n = -1914. Suppose 7*d - 1 - n = 0. Suppose -d*v + 28*v = 579. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -16, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/(129\/1548)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/17 smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 182.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/(12 + 50)*(-2 - (-48)\/14)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*j + 3*g, -g + 21 = 3*j - 2*g. Suppose j*z = 4*z + 60. Let t = z + -2. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 0*r**3 + 0*r**2 + 0*r**4 + 34\/5*r**5 - 15*r - 24. Differentiate y(a) wrt a.\nAnswer: 136*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1288\/460)\/(2\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*t**4 - 1290*t**3 + 110565*t.\nAnswer: 276*t**2 - 7740*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406100813.\nAnswer: 19, 59207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 456485*i**3*n - i**2*n - 3340*i**2 + 315*i*n wrt i?\nAnswer: 2738910*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (187\/(-22))\/(1*(-2)\/276).\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - g + 63 - 63.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 510 and 4114.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a + 5. Let m be x(6). Let y = m + 16. Let k be (-1)\/2*2 - (-2)\/2. Solve 3*o - 1 = c + 2, k = y*c + o + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 340*c**2 - c + 1. What is the units digit of n(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1999, 2039, 2151, 2371, 2735?\nAnswer: 3279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*l**3 + 4*l + 2*l**3 - 2*l**3 + l**3 + 53*l**2 - 30*l**2 to the form i*l + w + y*l**2 + o*l**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 8*x - 4. Suppose -20 = -2*b - y, 3*y - 2*y - 2 = 0. What is the lowest common multiple of q(-3) and b?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170863909, -341727817, -512591725, -683455633, -854319541?\nAnswer: -1025183449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286 and 17188834?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/(-21)*(298329\/(-1108))\/(-359).\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 97*g + 12274. Give d(-113).\nAnswer: 1313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*w + 198 = -228*w. Let j(q) be the first derivative of -q**3\/3 - 9*q**2\/2 - 6*q + 2. Calculate j(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 - -280. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86381.3 millilitres to litres.\nAnswer: 86.3813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -14.99 (b) 0.2 (c) -0.098 (d) 2 (e) 4 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -2ca?\nAnswer: -2c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (537*n**2 + 1 - 425*n**2 - 1 + 906*n**2)*(5*n - 4*n - 3*n + (-1 + 2 - 2)*(2*n + 4*n - 4*n)).\nAnswer: -4072*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 1. Let n(q) = q**3 + 5*q**2 - 4*q + 3. Let l(r) = 4*m(r) + n(r). Let d(x) = 8*x - 5. Let b be d(0). Let s be l(b). Is 0.1 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29*v**4 - 15*v**3 - 1593 wrt v?\nAnswer: -116*v**3 - 45*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 808 = -26*j + 860. Suppose -l + 4*t = -0*t + 21, 25 = -5*l + 4*t. Let o be ((-2 - l)\/(-1))\/(-1). Put 1, j, o in ascending order.\nAnswer: o, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25395*k + 6789*k - 1387*k - 43540*k.\nAnswer: -63533*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 6*u + 2. Let k be l(-6). Suppose -4*g + 21 = 1, -2*t - 2*g = -20. Suppose -d - t + 2 = o, -k*d = 4*o + 20. Which is smaller: -5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-129)\/(-45) - 8\/10.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44255325 is divided by 640?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 2*x - 36, 5*x + 595 = -n + 586 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637)*-2 + sqrt(325) + 1.\nAnswer: -9*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in -5, 0.273, 0.119, 4\/21?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 divided by 6?\nAnswer: -62\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.7769418 - 24.77694. Let y = 4 - s. Round y to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - z + (43*z - 4*z + 2*z + 48*z)*(6 - 21 - 13))*(0 - 2 + 1).\nAnswer: 2493*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -393 + 920. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-159*42\/693)\/(64\/88)\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6081\/152 - 40. Find the common denominator of (21\/18)\/((-264)\/(-36)) and q.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 392498 + 392453 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 4*u**2 - 1 - u**2 + 1 - u**2 - 2*u**2 - 4*u**2 + (-u + 0 + 0)*(-2*u - 2 + 2).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - 3*j - 10*j)*(j - 3*j + 3*j)*(1 + 3*j**2 - 1).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, 3, 0.0556, 0.7, -1\/2, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2802.589 and 20564.\nAnswer: 17761.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d - 160*d + 87 = -105. Let o(i) = -3*i**3 - 2*i**2 - 7*i + 2. Let c(n) = -n**3 + n**2 - n - 1. Give d*o(x) + 2*c(x).\nAnswer: -5*x**3 - 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 7:25 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 8*l + 13. Calculate n(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 10 = -12. List the prime factors of (-3 + 5)*(-134)\/(-4) + y.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (6 + (-12 + -6 - (-5 - -10)))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -30*x**3 - 5*x**2 + 5*x - 5. Let s(o) = -15*o**3 - 3*o**2 + 3*o - 3. Calculate 3*r(k) - 5*s(k).\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2241 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*r. Let v(d) be the second derivative of r*d**2 - 1\/6*d**3 + 0 - 2*d + 2\/15*d**6 - 1\/4*d**4 + 0*d**5. Suppose v(k) = 0. What is k?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4482 divided by 4\nAnswer: -2241\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 156 = -465. Let a be (-6)\/(-36)*u - 1\/(-2). Suppose -3 = 5*p + c, 3*p + p - 4*c = a. Solve -5*s - 16 = -3*k - p*s, -3*k = 3*s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 12*x**2 - 8*x - 15. Let q be 6\/39 + ((-167)\/(-13) - 2). What is the tens digit of l(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - 2*sqrt(99))*-6)\/(sqrt(81)\/sqrt(36)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58.7 + 53.7. What is the third biggest value in 0.3, -8, d?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q + 41 - 10 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 38. Let v = -88 + 164. Let h be (-6)\/10 + v\/10. Calculate the highest common factor of h and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqqqrrrrrq. What is prob of picking 2 r and 2 q?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4))\/(2\/(-4)). Suppose i = -t - 2, -4*i + o*t = 5*t. Let r = 1.1 - 1. Put r, -0.1, i in increasing order.\nAnswer: -0.1, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from {p: 2, d: 4, e: 6, u: 3}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 18 + 15. Let o(w) = 7 + 9*w**2 - 18 + n. Let u(x) = -x**2. Calculate o(u(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 305036 - 131?\nAnswer: 304605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*g - p, -2574*g + 2572*g - 16 = 4*p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 2 + 2)*(-7 + 37*j - 73*j + 39*j)*(5 + 0 + 5).\nAnswer: 180*j**2 - 420*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 266259663 to the power of 1\/3, to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381683303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 450200 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*g = 29, -21 = -l - 2*g - 9. Suppose l*p = 6*p - 8. Let i(t) = -t**3 - 6*t**2 - 3*t - 6. Let w be i(-6). Solve -2*z = p - w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24501529219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u\/((u**4\/u)\/u*u)*u*u**(2\/7)*u*u)**(6\/7)\/((u*u*u**(-1\/3)*u*u)**3*(u*u**(-5))\/(u\/u**1)) assuming u is positive.\nAnswer: u**(-163\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -322 + 555. List the prime factors of u.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -59*v + 3655 - 2003 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(330\/132*1*-4). Factor -1\/5*v**2 - i*v + 1\/5*v**4 + 0 + 1\/5*v**3.\nAnswer: v*(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 38579655 divided by -7715931\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 4*y**3 - 1 + (3*y**2 + 1 - 1)*(0*y + 0*y + y) - 2*y**3 - y**2 + y**2.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 1. Suppose u + 5 = 6*n. Let y = n - -35. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112440144 + -21?\nAnswer: 112440123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -197*z - 24. Is r(-23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530757917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-4\/9)*l)\/l*l)\/l)\/l**(2\/3) assuming l is positive.\nAnswer: l**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, l: 2, e: 6, a: 2, v: 1}. Give prob of picking 1 v and 2 a.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 63*j**2 - 1663*j + 311. Give d(83).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.766358 + -1.7839. What is x rounded to three dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*k + 15. Suppose 0*p - 60 = -k*p. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 2. Suppose 5*s - 5*j = -0*s - 5, 0 = 4*j - 16. Let r be c(s). Which is bigger: 4\/7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (392*z**4 + 690 - 110*z**4 - 690)*(-4*z + 5*z - 3*z).\nAnswer: -564*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -116.3 + 112. Let r = -1.7 - i. Which is greater: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*v - q + 110, 4*v = 4*q + 88. Let l = 34 - v. Let g = l + 2. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607568 - 4373.1?\nAnswer: 603194.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 5*b + 7. What is the tens digit of x(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/43 - (-1653828)\/63793983.\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41190951?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -64aa?\nAnswer: -64ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -979*i**8\/56 - 734*i**4\/3 + 1166*i. What is the third derivative of g(p) wrt p?\nAnswer: -117480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1207566746 divided by -457.\nAnswer: -2642378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.0438 + -0.0438. Let u be (-1)\/(-2)*14\/7. Which is the third smallest value? (a) -1 (b) 0 (c) n (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -205.831 - -206. Let l = 2.831 + d. What is the closest to 0.1 in l, 5, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1245 - 1248. Let p = -1.103 - -0.103. Let o = 6 - 4. Which is the third smallest value? (a) g (b) 2\/3 (c) p (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 plus 5726.1113?\nAnswer: 5668.1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 6:50 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*b - 9. Let t = 389 + -390. Put t, 2, b in ascending order.\nAnswer: t, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 6*q**2 - 6*q + 1. Let i be k(-5). Let u be ((-2)\/i)\/((-2)\/6*1). Suppose 0 = -7*d + 3*d. Put u, d, -2, 2 in decreasing order.\nAnswer: 2, u, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 5*w**2 - 7*w - 4. Let m be z(-6). Suppose 5*o + p - 19 = 0, -3*p + 21 = o + m*o. Let u(y) = o*y**2 + 35 - 4*y**2 - 43. Determine u(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -1\/4 (b) 1 (c) 512.36 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*b + 2*d + 2, b + 2*d - 4 = 0. Let w(m) = m**2 - 6*m + 6. Let o be w(5). Put 4, b, o in ascending order.\nAnswer: b, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4899*k*o**3 - 3111*k wrt o.\nAnswer: 14697*k*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 199, 329, 521, 781, 1115, 1529?\nAnswer: 2029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1 - 3 - 2*v - 1 - 2. Let t be h(-6). Suppose 7*y = t*y + 24. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or 0.1?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -162707412 divided by 388?\nAnswer: -419349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79086 and 81653874?\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 11:21 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 8. Let n be k(-6). What is the second derivative of -3*d**2 - 6*d + 0*d + 0*d - n*d**2 wrt d?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1635789?\nAnswer: 3, 269, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2449 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = l - p + 139, 275 = 4*l + 5*p. Suppose 0 = -3*s - 2*c + l, 3*s - 75 = -4*c + c. Calculate the greatest common factor of s and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 5*o - 32 = -9*o, 0 = -3*m + 3*o + 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 - 4713*s - 102669. Give k(-22).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*-1*2 - sqrt(65)) + sqrt(65))\/(sqrt(30)\/sqrt(24)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 7*d**2 + 12*d - 14. What is the remainder when u(7) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -26*p. Let k(s) = -5*s. Suppose 4*f + 16 = -2*a, 5*a = -0*a - 5*f - 60. Calculate a*k(g) + 3*q(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 9291*g**2 + 3182067*g - 259003845.\nAnswer: -3*(g - 159)**2*(g + 3415)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 1186*m + 2376. Let l be c(-2). Let b(u) be the third derivative of -1\/24*u**l - 4\/3*u**3 + 26*u**2 + 0*u + 0. Determine b(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 416*o**4 - 411*o**3 - 31*o**2 - 956157*o + 2.\nAnswer: 4992*o**2 - 2466*o - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28590 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*m**2 - 26*m**2 + 2*m - 2*m.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 1 = 4*a + 15, 2*a + 3*u + 22 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-5 + sqrt(17) + sqrt(153)\/sqrt(9))*-3*-6)**2 + ((-3*sqrt(170))\/sqrt(10)*-1*-3)**2.\nAnswer: -6480*sqrt(17) + 31511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/115*(-45)\/243?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943 is divided by 186?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 129731 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -13*r + 2. Let i(h) = -19 - 25*h - 1 + 10 + 6 + 7. Calculate 7*g(o) - 4*i(o).\nAnswer: 9*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 4*i - 19. Suppose 7*k - 7 = a + 5*k, -4*a + k = 49. Calculate the remainder when s(a) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 390 and 18?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146351, -292701, -439051, -585401, -731751, -878101?\nAnswer: -1024451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from jajaujrajjaacjacajj.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. Suppose 8*i - h*i = 0. What is the third derivative of -2 - 5*t**2 - 3*t**5 + i + 2 wrt t?\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20491201*m*t**4 - 42*m*t**2 - 259*m*t + 3*t**2 - 3*t wrt t.\nAnswer: -491788824*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*l - 1304 + 1416 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 8:15 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 - 8*i**2 + 5*i - 9. What is j(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -12*d - 191. Let o(b) = -5*b - 95. Calculate 5*o(a) - 2*x(a).\nAnswer: -a - 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*g + 10*g - 11018 + 10712 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/11*0\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b + 74. Let w be p(-22). Let o(h) = -w*h**2 + h**2 + 5*h**2. Let l(k) be the second derivative of -k**4\/6 + 2*k. Calculate o(l(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - s + 38. Let t be g(0). Let j be -1 + 80\/t + -1. Let m = -0.55 - -0.35. What is the third biggest value in -4, j, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1750*y = 2*r + 2*r - 1753*y + 1, 0 = -126*r + 5*y - 121 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (12\/7)\/(18180\/(-4550) - -4) is divided by 369?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 2:35 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -23. What is the common denominator of r*(-7)\/(-44) - 0 and 57\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 3 = -3*c. Suppose 3*f - 4*k + 3 = 0, 0*f + 4*f = c*k - 4. Let n(i) = 11*i**2. Calculate n(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2275 + 3280*q - 1134 + 7757*q - 1141 as r + g*q and give g.\nAnswer: 11037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2742130245 to the nearest integer?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.39 (b) -0.24 (c) -90.6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11966129 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30697648 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 259 + -255. Solve t + 3 = 0, p*j + 8*t = 3*t - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.008 and -3555.\nAnswer: -3554.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 1550 = 39*s + 21*s for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 6*y - 3*y**2 + 3*y**2)*(2 - 3 + 2).\nAnswer: y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27652.4 + -27646.43771. Let s = 5.97 - t. What is s rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 428130 and 20100?\nAnswer: 4281300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756461 is divided by 471.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.0340453 + 10953\nAnswer: 10953.0340453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 + 43*v**2 + 218*v - 34. Give b(-9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhqajrkkqhkq. What is prob of picking 2 h and 2 q?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v**2. Let t = -162 + 179. Let q(b) = -t*b + 43*b - 20*b. Give w(q(x)).\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 0*n + 3 + 2*n + 5*n + 6*n**2 - 3*n. Let m(r) = -5*r**2 - 3*r - 2. Let d(a) = -a - 1. Let y be d(-5). Let k(i) = y*v(i) + 5*m(i). Factor k(w).\nAnswer: -(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -3 + (-14 - -14) + 4. Solve b - 12 = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38538 + 67569. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1606740.\nAnswer: 2, 3, 5, 61, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -113202 (base 5) to base 13\nAnswer: -1b94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-21))\/4 - (-1024)\/14. Let f = 853 - 849. What is the nearest to 0 in -1, q, 5\/6, f?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 103. Suppose k + 4*k = 4*l - x, -4*k - 28 = -2*l. Let o be (1 - 1) + -1 - -73. What is the greatest common divisor of o and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2772 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*z. Suppose r + 2*r - 3 = z. Suppose -5*c - r = -6, 4*h = 4*c + 40. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -14*u - 56. Let w(j) be the third derivative of 0*j + 0*j**4 + 0 + 1\/12*j**5 - 4*j**u + 5\/6*j**3. What is the first derivative of w(y) wrt y?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/(-20) + (-5 - 18648\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8791677 is divided by 2930500?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -45*p - 316. Give o(-8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 5*z**4\/12 - 2*z**2 - z. What is the derivative of q(i) wrt i?\nAnswer: 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 + 57 = 3*u. Suppose n - 4*f = 20, -3*n + f = -8*n + u. Suppose 4*y = -7*r + 4*r + 58, -n = -5*y. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 927696024 a multiple of 932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 4416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z - 2288 + 1136 + 1152 + 388*z.\nAnswer: 400*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452848.\nAnswer: 2, 11, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4793994 - -3223994. What is m rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 26. Let l be -2*28*(-1)\/2. Suppose -l = -0*r + 4*r. What is c(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -149*u**7\/7 + 7*u**6\/3 + u**4\/2 - u**3\/3 + 29*u - 2825. Find the third derivative of y(m) wrt m.\nAnswer: -17880*m**3 + 840*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**2 - 1719*z + 22135. Calculate m(13).\nAnswer: -1057","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 5:58 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 17 - 12 - 2*q + 9*q + q in the form i + d*q and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -487, -2065, -4703, -8407, -13183, -19037?\n\"Answer: -a**3 - 524*a**2 + a + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 3 + -58 + 67?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*t - 3*t + 0*t)*(3 - 4 + 4) - 3*t + 3*t - 2*t)*(10*t - 10*t + 4*t**2).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 4)*270\/(-216)*2\/3 + 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/287250 and -17\/11978325.\nAnswer: 119783250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g*i**2*z**2 + 2*g*i**2*z - g*i**2 + 1044*g*z**2 + 41*i**2*z + z wrt z.\nAnswer: -6*g*i**2 + 2088*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -559077*r**4 + 1326577*r**2 wrt r.\nAnswer: -13417848*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174079 is divided by 672.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 100584221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*k**3*y**3 - 2*k**3*y**2 - 3*k**3*y + 10*k**3 + 270*y**3 + 325*y wrt y?\nAnswer: -204*k**3*y - 4*k**3 + 1620*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2594 is divided by 118?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q**3 - 22*q - 1 + 13*q + 8*q to the form j*q + m*q**2 + n + c*q**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*r - 18. Suppose -r*t + 0*t - 2*u + 18 = 0, 5*t - 4*u = 24. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109879809?\nAnswer: 3, 13, 23, 122497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxfx when four letters picked without replacement from fvfxvfxxxxv?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24.487 - 7.15. Let q = 18 - s. Round q to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Let d(m) be the first derivative of -m**4\/4 - 10*m**3\/3 + 15*m**2\/2 - 14*m - 3. Let y be d(-12). List the prime factors of y\/12 - (-2)\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -77\/3, 2\/5, 0.5352, 5?\nAnswer: -77\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from ppppppps.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.05, -1\/10, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewwwewwheuweuwch. Give prob of picking 1 u, 1 w, and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/19132835 and -59\/50.\nAnswer: 191328350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7299 + 291 = 1272*u - 1387*u for u.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 5220 = s. Let n = -308 - s. Let a = n + -443. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 - 325708*m**2.\nAnswer: -m**2*(m + 651416)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 12*h**2 - 10*h - 7. Let b be k(11). List the prime factors of -2 - (-188)\/(16\/b).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 4896*q.\nAnswer: 3*q*(q + 1632)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173690.\nAnswer: 2, 5, 11, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 3*f**2 + 2. What is n(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3294)\/(-207) - 2 - 12\/(-138)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b**(-2\/43))\/b*b)**(-1)*(b*b\/(b\/(b\/b**(-1\/32))))\/(b*b*(b**(-4\/7)\/b)\/b*b) assuming b is positive.\nAnswer: b**(-3379\/9632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 9*o**3 - 11*o**2 - 16. Let m(c) = -5*c**3 + 6*c**2 + 8. What is -11*m(j) - 6*v(j)?\nAnswer: j**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10}. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 6. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 185 - 181. What is the second derivative of -4*y - y + p*y + 21*y**2 - 7 + 0*y wrt y?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -32*l - 366. Give c(-10).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2338736*u**2 - 2788855 wrt u.\nAnswer: 4677472*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y - 6. Let i(m) be the second derivative of -11*m**3\/6 + 13*m**2\/2 - 3*m. Let n(f) = -6*i(f) - 13*t(f). Let o(a) = 6*a. Calculate 4*n(d) - o(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-12)\/56*7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1*(-8 + 15 + 0)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 50. Let t(j) = -24*j - 28. Let h(w) = 5*w + 6. Let d(k) = -14*h(k) - 3*t(k). What is d(m(y))?\nAnswer: -2*y - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/10, -4, -0.19, 2\/5, -0.04, 6\/29, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 28*u - 12*u - 5*u**2 + 9*u**2 - 3*u**2 - 2*u**2. Let a(y) = 2*y - 19. Give k(a(g)).\nAnswer: -4*g**2 + 108*g - 665","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 9. Suppose 97 = j*l - 4*z + 2*z, 12 = 3*z. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*p + 2*u - 100, 5*u - 46 = -2*p. Suppose q - 217 + 53 = -5*b, -4*b + 5*q + 137 = 0. What is the remainder when b is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43675 - -5372059\/123. Let c = k - -5543\/861. Find the common denominator of c and 89\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -24*v + 1049. What is the remainder when 30 is divided by u(43)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 734776, 734778, 734780, 734782?\n\"Answer: 2*q + 734774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -406 - -133. Which is greater: -271 or k?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 3:15 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from uuuuuuusluuuuuuuuu.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 29*x**2 - 27*x + 12. Determine j(-28).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34202812*a**2*h**3 + 464*a**2*h**2 + 2*a**2*h + 4*a**2 - a*h**2 + 5*a*h + 32*h wrt h.\nAnswer: 205216872*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gwwwgwwwwwgwgwwwwwww.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o - 1. Let w be 1 + 4 + -2 + -2. Let p be v(w). Suppose -160 = -p*y + y. Is y a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from {y: 3, h: 4, a: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**5\/60 + w**4\/2 - 6*w**3 + 23*w**2. Factor o(b).\nAnswer: -(b - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -487.79.\nAnswer: -490.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - 112212211?\nAnswer: -112220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 - 9935*d**2\/2 - 19878*d.\nAnswer: d*(d - 9939)*(d + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 590382*n**2 - 595170*n**2 - 3 + 2 in the form t*n + o + u*n**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/14 and -50\/92323.\nAnswer: 184646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -350588\/75 or -4674?\nAnswer: -4674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (570\/20 - 1)*12\/10 - 7\/1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + sqrt(156) + sqrt(156)*-1*3)\/(sqrt(1728) - (sqrt(1728)*2 + sqrt(1728) + sqrt(1728)) - sqrt(1728) - sqrt(1728)).\nAnswer: sqrt(13)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306.6959 months in millennia?\nAnswer: 0.108891325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 2*o - 4. Let u be t(-4). Suppose 3 = -4*d - 13. Let k be 2\/d*(1 + 7). Put k, 1, u in increasing order.\nAnswer: k, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 22. Let t = 15 - 2. Let l = k + t. Solve -l = -2*j + 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10166898, 10166901, 10166904, 10166907, 10166910?\nAnswer: 10166913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 9:45 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**5\/10 + 17*t**3\/6 - 15*t. Find the second derivative of d(h) wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332231157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3213)\/765)\/(3\/(-45))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-9)*15\/10.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + 286*a + 298*a - 933*a - 9 + 307*a in the form d + c*a + v*a**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2517 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (32 - 37) + (4 - (-4 - -2)) + -10 + -34\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1895 + 1865 - (122 + 2)?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1316.205 - -1316. Which is greater: -1\/4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 34*f - 198 + 42, 9*s + 3*f - f + 2*f = 5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4137.\nAnswer: 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 43. Let c be 265\/(-3) - (-16)\/v. Let d = -58 - c. What is d rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 14452304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 484 and 513045544.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*k - 5 - 7, 5*k + 3 = c. Suppose -78 - 78 = -5*x - 4*l, -3*x - 5*l + 104 = 0. Suppose -x = -c*w - w. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2. Let p(c) = 11*c**2 - 1. Suppose 0 = 3*d + 2*m + 12, -4*d - m - 4*m - 9 = 0. What is d*r(u) + p(u)?\nAnswer: 5*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -545, 3, 2, 1 in decreasing order.\nAnswer: 4, 3, 2, 1, -545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.54426 rounded to 1 dp?\nAnswer: -116.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 8037690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**4 + 3*j**4 + 0*j**4 + (-2 + j**2 + 2)*(-2*j**2 - 2*j**2 + 3*j**2) - 5*j**4 - 9*j**4 + 3*j**4.\nAnswer: -13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 8*n = -780. Suppose 0 = 19*i - 14*i - n. Calculate the remainder when 240 is divided by i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**3 + 37*h**3 - 22*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k - 3*k - 5*k**2 + 2*k**2 + 5. Let v(j) = 2*j**2 - j**2 + j**2 - 4*j + 6*j - 2. Determine 2*m(f) + 5*v(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-126160)\/(-480))\/(-83)*6\/1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + -15 + 36 - -43?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 40*n - 20. Let w be a(-20). Let f be 3*w\/9*(-2085)\/20. Does 12 divide f\/(-5)*(3 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (8 - -7 - 17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 19*p - 18*p - 8, -b - 3*p + 8 = 0. Suppose x + 4*x - 490 = 0. Suppose 2*l = -b*a + x, -3*a - 2*a = -3*l + 163. What are the prime factors of l?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 96e153 - -8?\nAnswer: 96e15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-5)*700\/(-10080)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154, -539, -1230, -1919, -2606, -3291, -3974?\nAnswer: -4655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2453 and 65642503.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 6*i**2 + i + 11 - 34 + 15 - 83*i**4 in the form m*i**2 + j*i**3 + z + n*i**4 + g*i and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(-58)\/(-87).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 6*i**2 + 2. Calculate n(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.7 (b) -0.5 (c) 5 (d) 395\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 14120 (b) -1\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.412192 and -0.11.\nAnswer: -0.522192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 16 = 21*b - 17*b, -2*i = -3*b + 12. Let z(x) be the first derivative of 0*x**2 + 7 - 4\/3*x**3 + i*x. Let c(q) = -2*q. Determine c(z(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**3*o**2 + 623*m**3 - 3*m*o**3 + m wrt o.\nAnswer: 4*m**3*o - 9*m*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 9*w. Give f(-5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (56 + -61)*(-18)\/(-15)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/2 - 5*610\/550. What is the biggest value in d, 5, -37, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.07 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*(n**0\/n)\/n*n)\/n)*n\/n**(2\/5)*n*(n\/n**(2\/19))\/(n\/n**6))\/(((n*n**(2\/7))\/n)\/n**(-1)*n**5\/n**(-6)) assuming n is positive.\nAnswer: n**(-1856\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, p: 3, w: 2, j: 4, o: 1, n: 1}. What is prob of sequence onw?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1735)\/25 - (-3)\/(-5). Let t = -36 - p. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116871 and 326?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32757.\nAnswer: 3, 61, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19\/2 + 0 + 1\/2. Suppose b*q - 8*q = 128. Let c be 112\/q - -1*1\/4. Solve c = -t - 0*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 78 - a + 2*a**3 + 0*a**3 - 3*a**3 - a**2 + 0*a**3. What is the tens digit of i(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**2 + 27105*i - 19962090 = 0?\nAnswer: 879, 4542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 - (103 - (48 - 23)) - (-1 + (2 - -54))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/100)\/((-3990)\/(-950)*(-10)\/28).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v - 63. Let f be g(26). Calculate the highest common factor of 155 and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, -5, 0.4, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3862 times -0.5?\nAnswer: -0.1931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 14*w - 14*w)*(1 + 2 - 2) - 176*w**2 + 1 + 93*w**2 + 91*w**2 + 14*w.\nAnswer: 9*w**2 + 14*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2 + 2 + 2*s - 4*s. Let g(o) = 6*o**2. Calculate g(m(w)).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**6*n)**(-1\/11)\/(n*n*n**(3\/4))**(5\/4) assuming n is positive.\nAnswer: n**(-733\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 - (0 - 24)) + 2 + -23?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = 71 - 95 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -398.22 + 28.22. Which is bigger: -13 or r?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6624 + 2624 + 1799 + 84 - 1519)*(0 + i + 0) to r + o*i and give o.\nAnswer: 9612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-5)*1*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 - 4 - (-8 - -5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -24*c. Let z(g) = 2*g**2 - g. Calculate z(x(t)).\nAnswer: 1152*t**2 + 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1248, 5, 4, 16 in ascending order.\nAnswer: 4, 5, 16, 1248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*m = 64, -32*m + 5 = -31*m. Suppose 4 = 3*b - 5. Suppose -c - 2*c = 5*r - 21, 0 = 2*r - b*c - w. Solve -4 = 2*z + r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*c**2 - 17*c**2 - 43*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*u - 129*u = -2466717. What are the prime factors of u?\nAnswer: 3, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 401871840?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -194119 at least -196933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191\/595 - -3\/85. What is the fourth biggest value in -153, v, -0.1, -0.2?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v**2 + 22*v**3 + 2010 - 2007 - 43*v**3 + 22*v**3 + 7*v. What is u(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 18968, 0.4, -0.2, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**4)\/(o**(-2\/31)\/o*o))\/(o\/(o*(o\/(o*o*o\/(o\/o**(-18)))*o)\/o)*o*o\/(o**(2\/27)*o*o)))**23 assuming o is positive.\nAnswer: o**(272182\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 0 - 1\/3. Suppose 3*r - 13 = 47. Suppose -w + 3*w - 5*l = r, -12 = 3*l. Which is the third smallest value? (a) -2\/7 (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmplupupllllplmlull. What is prob of sequence mp?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkfkkkkfkkfkkf. Give prob of sequence kkfk.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25095, 25579, 26387, 27519, 28975, 30755, 32859?\nAnswer: 35287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*o - 2348 = 937 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -899255.912516 + -0.4.\nAnswer: -899256.312516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 * -0.5.\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*o + 78*o + 90*o + 80*o + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 540581 + -5953481\/11. Is -645 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 2*sqrt(468)*-1)**2*5*3 - (2*(5 + 4*(-1 + sqrt(468))))**2.\nAnswer: -22936 - 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(567\/(-30))*(-6)\/(-5)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 201995 divided by 247\nAnswer: 201995\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*b - 12*b - 23*b)*((2 - 5 + 4)*(-3 + 3 + b) + (-4 - 4 + 6)*(2*b - 3*b - b) - 5*b + 2*b + b + b + 4 - 4 + (-2 + 5 - 2)*(b - 5*b + 3*b) + 1 - 1 + 2*b).\nAnswer: -65*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16242948851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 22 (b) 5 (c) 11\/7 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Let a be z\/(-11) + (-342)\/(-66). Suppose -5*y = 2*c - 92, 4*c = 2*c + 2. Solve a*d + 2 = -y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 42*n**2 + 6*n + 6. Let r(v) = -1048*v**2 - 157*v - 167. Let d(z) = -348*z**2 - 52*z - 55. Let u(k) = -10*d(k) + 3*r(k). Give 49*o(m) - 6*u(m).\nAnswer: 42*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 179540 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 77, 346, 1081, 2516, 4885, 8422?\n\"Answer: 39*d**3 - d**2 - d + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2401592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15577235, -31154475, -46731711, -62308943?\n\"Answer: 2*a**2 - 15577246*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95493666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 616.9685 years to decades.\nAnswer: 61.69685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**4 - 2*l**4 - l**4 + l**4 - 2*l**4 - l**4 + (-2 + 3 + 1)*(0*l**4 + 0*l**4 - 8*l**4) - 3*l**4 + l**3 + 2*l**4 + 2*l**4.\nAnswer: -16*l**4 + l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011000011000100111 - 100?\nAnswer: 1101011000011000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-722)\/1444)\/((-66)\/360))\/((-64)\/(-22)).\nAnswer: 15\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**4 - 12*z**3 - 4*z**2 + 12*z. Let m(f) = -2*f**4 - 8*f**3 - 3*f**2 + 8*f. Let u(v) = -5*d(v) + 7*m(v). Solve u(i) = 0 for i.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/11 (b) -3 (c) 15 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2)\/m)\/m)\/(m**(2\/19)\/m))**(21\/8)\/(((m*m*(m*m\/m**(-1)*m*m)\/m)\/m)**(-35)\/(m*m**(4\/7)\/m*m**8*m)) assuming m is positive.\nAnswer: m**(187711\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/9483?\nAnswer: -2\/9483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1344118 * 0.1.\nAnswer: 0.01344118","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 19*j**2 + 153*j + 1. Give x(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, j: 1, x: 2, g: 1}. Give prob of picking 1 g and 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3677 + 5496. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -160 + 156. What is the third smallest value in 0.03, r, -0.13?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - 4*n**2 + 3*n - 6. What is t(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4814392 - -4814438.99918. Let v = -47 + m. What is v rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 5*i**3 - 2*i**3)*(2*i**2 - i**2 + 0*i**2 + (i + 0*i - 3*i)*(-1 + 1 - i)).\nAnswer: 6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*w = -9*w - 320, -4*w + 8 = 0. Calculate the remainder when j is divided by 107.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 5 - 24 + 48 + 4*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f - 107*f - 7*f**2 + 9*f + 12*f**2 - 1 - 46*f as c + d*f**2 + a*f and give a.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x + 13 = 1033. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 1774*q**2 - q**3 - 1774*q**2 + 7*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 + 828*b**3 - 85098*b**2 + 3859308*b - 65174763.\nAnswer: -3*(b - 79)**2*(b - 59)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/34)\/(8006\/(-1156867))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-6*((1 + sqrt(847))*-4 + 5) + -2) + -3)**2.\nAnswer: -73920*sqrt(7) + 7807177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -16\/5*g + 83 - 2\/5*g**3 + 14\/5*g**2. Determine t so that u(t) = 0.\nAnswer: 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f - 16*f**2 - 23*f**2 - 21*f.\nAnswer: -39*f**2 - 16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15947 + -15287. Calculate the highest common factor of t and 620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4. Suppose -p - g*p - 2*m = -9, -p + 16 = 5*m. Solve 3 = -4*s - p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -32. Let r be 2*(-4 - c\/4). Sort 1, r, 15 in ascending order.\nAnswer: r, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*r + 8 = -29, 2*r + 34 = 2*k. Suppose 463 = k*w + 1207. Sort -3, w, 1 in descending order.\nAnswer: 1, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3741870 and 258060.\nAnswer: 7483740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/21 + -25\/231. Is -1 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -49, -95, -139, -169, -173, -139?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*k**2 - 13*k**2 - 2*k**2 + (-4*k**2 + k**2 + 2*k**2)*(32 + 3 - 8).\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25816?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -106*r + 5. Is b(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 19*2968\/28208. Let z = 118181\/70520 + r. Calculate the common denominator of 1\/15 and z.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 11. Let l = j - 15. Which is greater: l or -0.06?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 129132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + v + 1 + 0 + 0*v + 2*v - 4*v + (-25 + 13 + 35)*(0*v + 3*v - 4*v).\nAnswer: -24*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26936.47cm in kilometers?\nAnswer: 0.2693647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20685 and 15?\nAnswer: 20685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642017098?\nAnswer: 2, 463, 693323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 2, 2\/3, -2, -4\/37, 0 in decreasing order.\nAnswer: 2, 2\/3, 0, -4\/37, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**6\/10 - 3*g**5\/20 + g**4\/4 + g**3\/2 + g - 2. Let h(t) be the first derivative of c(t). Factor h(f).\nAnswer: -3*f*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/2*(-50)\/11175. Is l > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 4 (c) 0.0235 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004683 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -339, -669, -999, -1329?\n\"Answer: -330*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*sqrt(57)\/sqrt(3) + sqrt(19).\nAnswer: 5 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1727326769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6f + -52e9?\nAnswer: -527a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74959, -149956, -224995, -300076, -375199, -450364, -525571?\nAnswer: -600820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -17 + 16 - (2\/(-1) - -2). Let j = -6 - -4. What is the closest to 1 in j, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**2\/5 + 158*w\/5 + 664\/5 = 0.\nAnswer: -4, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 2*h**2 + 99*h + 1. Let n be a(-11). Let x = 3.6 - 3. What is the closest to n in x, 8, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.38 and 0.056?\nAnswer: -0.02128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5956 to 2 dps.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8*(9\/12)\/(-3). What is the units digit of (2 + 8)*(n + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/17)\/(t\/t**(-2\/19)))\/(t\/(t*t**(-2\/15))*t*t*t*t\/t**(-14)) assuming t is positive.\nAnswer: t**(-92641\/4845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 + 167 + 20427*y.\nAnswer: 20427*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*v + 52 = 0. Let c = v - 15. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.32002 times 342\nAnswer: -109.44684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 7:36 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 9*x**2 - 5*x - 20. Let f be r(8). Is f\/(-12)*-9 - 1*-2284 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.4. Let h = -6.4 + 3. Let t = h - d. Put t, -0.3, 1\/4 in ascending order.\nAnswer: t, -0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 2418?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r**3 - r**2 - 4*r + 3. Let u be v(3). Suppose 0 = -2*y - 2, 5*s = y - 3*y + u. Suppose p - s = -4*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/(-70) + (-436)\/714. Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/10 of a millennium?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = j + 635, -363 = -3*d + 6*d - 3*j. Let c = d + 170. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1314209 greater than or equal to -3942628\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.24 - 52993.6021811.\nAnswer: -52993.8421811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-20 - (1 - 17) - 25).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/264987 and -83\/194?\nAnswer: 51407478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205 by -5.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375280 is divided by 122777.\nAnswer: 6949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 + -41. Let o = v + -16. Let u = 2.013 - 0.013. What is the nearest to u in 1, o, 6\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52.49 + 67.49. What is the second smallest value in 2\/5, 0.2, z, 5, -36?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-45)\/216*(-38)\/95. Let a(j) be the second derivative of 3*j**2 + 7\/6*j**3 + 0 - 50*j + c*j**4. Let a(z) = 0. Calculate z.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45\/18 + 186\/(-56). Let d = 215\/168 + t. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 88 and -237428.\nAnswer: -237340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3) + (-5)\/(-15)*0. Let y be (-1)\/(-4) + 13\/(-20). Let k = 0.71 + -5.71. What is the nearest to a in k, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*j - 14*j. Let n(d) = -d - 13. Calculate n(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14539 and 3689.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*t - 4*w, -130*t + 135*t = -w - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -616.2 (c) 2\/15 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 + (29\/((-2030)\/1170) - -17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x + 13*x - 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 2*k**2 - 4*k + 3. Let o be u(3). Which is smaller: 7\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -1. Let p be g\/(((-32)\/148)\/(-4)). Let z = p - -79. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19*2\/3)\/((-4)\/594). Let m(u) = 122*u + n - 1881. Let a(f) = 2*f**2. Calculate m(a(x)).\nAnswer: 244*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75376239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22804 + -22799. Let x = -8 - -6. Put p, 6, 7, x in ascending order.\nAnswer: x, p, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3 - 3805*l**2 + 42002*l + 99216 = 0.\nAnswer: -3816, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8901031 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 12 = 3*n, 13*n = 22*g - 16*g + 9*n + 34 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2260 and 4520?\nAnswer: 4520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h + 51 + 29. Let k be h\/(1 - (-3 - 9\/(-3))). Let t(l) = -6*l - 33. Is t(k) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/108 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41.3 + 55. Let x = 5.7 - b. Which is smaller: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 10500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1457373 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 2)*(2 - 15 - 3)*(23 - 23 - 9*z) to c + p*z and give p.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6))\/(4\/(-360)*3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*12\/20 + (-13)\/(1430\/(-627))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17018 is divided by 406?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2669*a - 2613*a = 1120 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 356*s**2 + 46*s - 1. Let w be r(-17). Let o = w - 12252271\/120. Find the common denominator of 1\/132 and o.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002471 to 4 decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 17*l**2 - 5. Let o(t) = t**2 + 1. Calculate 15*o(b) + 3*s(b).\nAnswer: 66*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((80\/(-45))\/16)\/(10\/120).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**11*f*f**(3\/5)\/f*f*f)\/(f*f**(-1\/5)*f\/(((f**(-4\/5)*f)\/f)\/f*f)) assuming f is positive.\nAnswer: f**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4066575 and 72601?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17535.37 less than -404.0991?\nAnswer: -17939.4691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2938*z - 2926*z. Let w(i) = -4*i - 4. Let g be w(-5). Solve g - 1 = d + z*k, -4*k = -2*d - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 1\/24*r**4 + 0*r**3 + 0 - 4*r**2 + 0*r. Let d(v) = -5*v**2. Give a(d(s)).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1035 = 2*u. Let f be (0 + 1)\/(3\/u). Let n be (-1)\/(f\/30 + -4). Solve c = n*c - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290.8 rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.01 + -0.01. Let r = m - 11.000034. Round r to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a**5 - 1972*a**3 + 87*a - 41?\nAnswer: -120*a**3 - 11832*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -3, 5, 3, -1, 1636.\nAnswer: -26, -3, -1, 3, 5, 1636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20354 (base 7) to base 4\nAnswer: -1031330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 345641?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1520\/6384)\/((-15)\/54).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-10) + 33\/110.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**2 - 807948*q - 91323662 = 0.\nAnswer: -113, 404087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*r - 2*p = -3484, -3*r + 5*p + 3512 = 0. Let g = -1872 + r. List the prime factors of 2\/(-10) + g\/(-15).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 + 16*z**5 + 0*z**4 + (z**2 + 2*z - 2*z)*(-2 - 2*z**3 + 2).\nAnswer: 14*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 11*p + 9. Let n be t(-10). What is the common denominator of 2*n + (-490)\/(-120) and -31\/194?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = l - 25, -7*l + 3*l - d + 55 = 0. Suppose 5*r - 4*c = -4 + 12, -c = 3*r - l. Suppose -2*v = -0*v - r. Solve -7*a + 5 = -v*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -84 - 2a2017?\nAnswer: -2a209b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230 and 7390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 7*o + 3*o + (-1 - 1 + 4)*(-3*o - o + 5*o))*(-4*o**2 + 3*o**2 + 0*o**2).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 6:22 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 9*x**2 - 3*x - 6. List the prime factors of w(-7).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 13*i + 8068 = 3*j - 8224 + 16512, 2*j + 4*i + 70 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**4\/4 + f**2\/2 - f - 1. Suppose -19*v = -5*v - 28. Let l(n) = -736 + 4*n - v*n + n**3 + 734. Calculate 4*l(d) - 7*z(d).\nAnswer: -3*d**3 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z**2. Let a(h) = 4. Let j(o) be the second derivative of -o**3\/6 + 14*o**2 - o - 26. Let w(c) = 21*a(c) - 3*j(c). Give q(w(l)).\nAnswer: -63*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.8 - -7.2. What is the closest to 1 in -3, 0.2, 4\/13, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21975 is divided by 788.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -135, -0.2, -0.028?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Suppose 0 = g + 29 - 31. Solve s - 16 = -v*i - g*s, -s = -2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h**2 + h + 7. Let x(j) = -229*j**2 + 65*j**2 + 78*j**2 + 1 + 87*j**2. Calculate n(f) - 6*x(f).\nAnswer: 2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.4 - -4. Let r be 5*(13\/(-5) - -3). Let f be (3 - r) + 1 - 1. Which is the nearest to t? (a) 1\/5 (b) f (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24\/29955623 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -83, -120, -155, -188, -219?\n\"Answer: h**2 - 40*h - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 + 348.2300539?\nAnswer: 652.2300539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q + 5*q - 2*q - 6*q to the form a*q + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-5))**(-3\/2)\/(d**(-3\/4))**(-10\/17) assuming d is positive.\nAnswer: d**(189\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*a**4*n**2 + 40*a**3*n**3 + 2639*n**3 with respect to a.\nAnswer: 132*a**3*n**2 + 120*a**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + -2.7182604?\nAnswer: 55.2817396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 7*v**2 + 269*v - 3085. Determine f(12).\nAnswer: -577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*v**2 + 88 - 2*v**4 - 10*v**2 + 3*v**3 + 141 + 43 in the form l*v**4 + a*v**3 + o + q*v + z*v**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**2 - 15*g**2 - 2*g**2 - 2*g**2 + 3*g**2.\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -26.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 - -127. Suppose 0 = 27*h - 59*h + u. Solve h*v + v - 2*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k - 4*k + 2*k)*(k + 1 - 1) + (-4 + 2 + 1)*(2*k - 2*k**2 - 2*k)*(1 + 6 - 4) as h*k + r*k**2 + p and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 5*p + 25, 4*p - 2 + 18 = -3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -361.\nAnswer: -361, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 6:21 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -488 by -5.\nAnswer: 488\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**4 + 10*y**3 + 7*y**2. Let f(n) = 85*n**4 + 170*n**3 + 120*n**2. Let j(r) = 35*c(r) - 2*f(r). Factor j(i).\nAnswer: 5*i**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8.07, -1, 18, 1\/42?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -2. Let q be 2\/x - 1\/2. Suppose -2*m + 23 = 3*f, -11*f + 11 = 4*m - 12*f. Are m and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**15*f)\/((f\/(f\/f**(2\/29)))\/f))**(-10\/13) assuming f is positive.\nAnswer: f**(-400\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 15 + (10 + -10 - 6)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11067 divided by -1581.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1305 + -1296. Sort -1, w, -3 in descending order.\nAnswer: w, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 2. Let f be h(-4). Let b(s) = -2*s - f + s - 2*s. What is b(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 199664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 - 12*a**2 + 3*a. Let q be c(6). Let v(h) = -h**2 + 19*h + 22. Let t be v(15). Suppose -t*y = -85*y + 51. Which is smaller: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - z - 2*z + 5 - 3. Let j(r) = 3*r - 1. Let m(b) = 3*j(b) + 4*t(b). Calculate the lowest common multiple of 8 and m(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281647?\nAnswer: 281647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/9)\/v*v**(-1\/2)*(v**(-2\/3))**16 assuming v is positive.\nAnswer: v**(-221\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09 + -0.004. Let i = u + -5.906. Which is the smallest value? (a) 2\/7 (b) -0.3 (c) i (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j + 0*j + 0*j - 3. Let w be ((-12)\/(-5))\/((-9)\/(-30)). Is l(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 4)*(-x**2 + 4*x**2 - x**2) - 3*x**2 - 2*x**2 + 3*x**2 - 27342*x**2 + 26013*x - 26013*x to z + i*x + h*x**2 and give h.\nAnswer: -27340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8888, -10424, -12962, -16496, -21020?\nAnswer: -26528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 101*s**4\/12 + 125*s - 8. Let r(x) = 3888*x**2. Give 5*r(w) - 192*u(w).\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.06, 12, 8, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 - 84 = 3*m. Let f = m + 194. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-3))\/((-2)\/(-12)). Suppose 3*y = -y - 5*b - 85, -36 = 2*y - m*b. What is y rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7368, 7374, 7390, 7422, 7476, 7558, 7674, 7830?\n\"Answer: a**3 - a**2 + 2*a + 7366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((n + 5 - 5)*(4 + 1 + 3) - 2 + 2*n + 2 + (-3*n - 2*n - n)*(-15 - 8 + 11))*(-7 + 7 + 3) as y + m*n and give m.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -60 - (1\/1 + 1). Let y be 3\/9 + (-2468)\/(-12). Let q = g + y. What is the greatest common divisor of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2395*p - 169733 + 11891 = -5318*p for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 6*h**2 + 6*h - 1. Calculate z(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 2)*(-4)\/(-42). Suppose 4*o + 13 = -3*z, -5*o + 0*z + 2*z = -1. Is o <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -236*x**2 - 2*x. Let j be w(1). Is j < -238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 8*t = 4*t - 23, -3*t = i - 16 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 1:44 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14052 and 11442?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ca0 + 6?\nAnswer: ca6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1111100 (base 2) to base 3\nAnswer: -11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2 (b) -14 (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2 - (-3552)\/12288*8.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b0 (base 12) in base 15?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) 4 (c) -4\/7 (d) -2\/15 (e) 5 (f) 18\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 249?\nAnswer: -74.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**6\/180 + g**5\/60 - g**4\/6 + 10*g**3\/3 + 10. Let t(n) be the third derivative of v(n). Factor t(h).\nAnswer: 2*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ollooooyoooolzl. Give prob of picking 1 o and 1 z.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**4 + 933 + 2*a**2 - 931 - a**3 + 2*a**3 to the form q*a + j*a**2 + s*a**3 + p*a**4 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u - 5*i + 8, -2*u + 5*i = -4. Solve 5*v - 13 = 2*k, 0*k - 5*v = u*k - 17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11207 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/525 + (-2)\/(-14).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 0*z**4 - 3 + 0 + z**4 with respect to z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-2)\/15) + -1. Let j be (-16)\/6*6\/4. Let c(b) = 4*b**2 + 7*b. Let t(s) = s**2 + 0 - 1 + 1 + 2*s. Determine f*t(m) + j*c(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1402 - 1460.9. Let b = r + 58.89999433. Round b to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from occcrcorcrcoor. What is prob of sequence co?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -166*n**2*o + 2*n**2 - 14476*n*o - n - 78290780*o wrt n?\nAnswer: -332*n*o + 4*n - 14476*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316 + 316 - 772 - 100 + 240 + 14*n.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/350)\/(3\/(-7))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95827?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/6)\/((-4)\/18). Suppose -5 = -u*g + 4. Suppose -12 = -3*b + g. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -167\/310 + 274\/31. Let y = -107289\/22 + 4878. What is the common denominator of p and y?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-10))\/((-68)\/(-510))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35998.98 months to millennia.\nAnswer: 2.999915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = v - k - 4, -v = 4*k - 5. Let h = -2 + v. Solve h*x - 2*x = 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 5589 + 2*h - 6*h**2 + 5589.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/((-3)\/36).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.03581*0.016907\nAnswer: 0.00060543967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.1569317 to 3 decimal places.\nAnswer: -5.157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 q when three letters picked without replacement from {r: 1, e: 5, c: 5, q: 1, y: 5, j: 2}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3080?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 9. Let h(m) = 12*m - 11. Let x be h(4). Suppose -4*d - x = 3*s - 4, 0 = -4*s + 5*d - 13. Determine p(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -987*t = -977*t + 40 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 33762990056.\nAnswer: -33762990061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvm when three letters picked without replacement from vmhcnmnw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77*k**2*r**3 + k**2*r + 2*r**3 - 71*r wrt k.\nAnswer: 154*k*r**3 + 2*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + -38. Let w(h) = -j - 20*h**2 + 11*h - 4*h + 22*h**2. List the prime factors of w(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9106413 * -0.06\nAnswer: -546384.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*q - 13, 7*l - 2*l + 2*q = -5. Let v be (-5 + 4)*-8*l. Let i be v\/6 - 22\/(-33). Solve p = -3*w + i*p + 2, 4*p - 14 = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1373*w + 68377. Give j(50).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 110\/210 + 24\/(-54)*(-9)\/(-6). What is the nearest to s in -2, 0, 0.3, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45495 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4334 + 6928. Is v a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 6. Let f be p(3). Suppose 3*i - 50 - 19 = f. Suppose -i = 4*h - 71. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*(-4 + 2*sqrt(891) + sqrt(891)))**2.\nAnswer: -3456*sqrt(11) + 128560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j**2 + 2*j**2 - j**2 + ((-5*j**2 + 0*j**2 + 3*j**2)*(-4 + 5 + 3) - 3*j**2 - 3 + 3)*(2 + 2 - 5) in the form g*j + p*j**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*q**3 - 89*q**3 + 134*q**3 + 3*q**3.\nAnswer: 183*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1521283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 - -0.8. Round a to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 + -66. Let d(c) = -2 + x - c + 8*c + 11*c. Let y(g) = -g. What is d(y(b))?\nAnswer: -18*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 731626 is divided by 604?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 544 divided by -16\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 256221 + -1?\nAnswer: 256220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5130?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-2*-3*sqrt(75) - sqrt(75) - 6*(2 + sqrt(75))) + -4)**2.\nAnswer: 160*sqrt(3) + 335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1799 + -1796.036. Let y = 27 + -30. Let c = f + y. Round c to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 284, 549, 800, 1031, 1236, 1409, 1544, 1635?\n\"Answer: -l**3 - l**2 + 275*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -413 and 14.\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -10, -5*p - 2*w = 8 + 21. Let s = -9 + 5. Sort 4, s, p in decreasing order.\nAnswer: 4, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 628 = -z, -3*z + 833 = -3*g - 1027. Does 616 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 12:29 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -833 (base 9) to base 15\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20025 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 6:52 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43822*0.5.\nAnswer: 21911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, d: 5, b: 1, t: 3, e: 1, c: 1}. What is prob of picking 2 t and 1 p?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 38.2?\nAnswer: 38.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -92*p**4 + 2435462*p**3\/5 - 18199404*p**2\/5 + 8194822*p\/5 + 148036\/5 = 0. What is p?\nAnswer: -2\/115, 1\/2, 7, 5287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(4\/2*1))\/(-3).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 75. What is the remainder when 114 is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**6\/280 - 25*d**2. Factor i(h).\nAnswer: -3*h**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 + 29*u**2 + 13*u - 4. Determine v(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 187.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2909*h - h**2 + 3*h**2 + 497*h.\nAnswer: 2*h**2 + 3406*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(-4))\/c)\/c)\/(c*c\/c**(-1\/14)))\/((c**6\/c)\/c*(c**6*c)\/c*c) assuming c is positive.\nAnswer: c**(-253\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26364 - -6?\nAnswer: -26356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -197\/5, -5, -1\/7, -11?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3813853 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: Convert -a90 (base 15) to base 8.\nAnswer: -4521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/7 + 40\/7*w**2 + 0*w**4 - 2\/7*w**5 + 20\/7*w**3 + 30\/7*w.\nAnswer: -2*(w - 4)*(w + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v**2 - 3*v. Suppose -5*q + q = -208. Calculate the remainder when q is divided by j(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7738, -15317, -22870, -30403, -37922, -45433, -52942?\nAnswer: -60455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-1)*c))**(-20))**(-42) assuming c is positive.\nAnswer: c**840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34530440491\/60 - 575529198. Let a = 21857 + g. Find the common denominator of a and -79\/14.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5368692 * -5\nAnswer: 26843460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Let b(k) = -4*k**3 - 3*k**2 - 2*k + 1. Let x be b(-1). Give o(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141571824 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 7:00 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/2004747955?\nAnswer: -1\/2004747955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*q**3 - 11*q**2*y - 2*q*y + 2*q - y - 1317 with respect to q.\nAnswer: 81*q**2 - 22*q*y - 2*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411639?\nAnswer: 3, 43, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - 3*h**2 - 2*h + 0*h**2 - h**3 - h**2 in the form f*h**3 + r*h + t + c*h**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 13*r**7\/42 - 11*r**3\/6 + 12*r. Find the second derivative of t(b) wrt b.\nAnswer: 260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1030*c - 168. Let b(n) = -514*n + 85. Let m(q) = -5*b(q) - 2*f(q). Is m(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttec when four letters picked without replacement from {i: 2, c: 5, e: 3, x: 2, t: 6}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from {h: 1, j: 5, g: 1, e: 5, x: 4, q: 1}.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010001010001 + -1001?\nAnswer: -11010001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 109*s**2 + 7760*s + 1485. Calculate h(-71).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 2*m - 3. Let x be b(-4). What is the third derivative of 5*o**3 - 7*o**2 + 0*o**2 - x*o**3 - 7*o**4 wrt o?\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1495362566?\nAnswer: 2, 1693, 441631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2704684*g**3 + 2*g**2 - 2*g - 12961176?\nAnswer: 8114052*g**2 + 4*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/15 - 634*r**2\/15 + 212*r\/5.\nAnswer: -2*r*(r - 1)*(r + 318)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 + 0*o**4 + o**4 + (-3*o**3 + 7*o**3 - 2 + 0*o**3)*(0 - 2 - 2)*(o - 2*o - o - 5*o + 2*o + 4*o + (o - 3*o + o)*(0 - 3 - 1) - o + 3*o - o).\nAnswer: -65*o**4 + 32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m - 32. Calculate the remainder when 105 is divided by r(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*w = 64, -3*y - 14*w + 15*w + 116 = 0. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**5 + 3255*a**4 + 381930*a**3 + 8204050*a**2 - 112297125*a + 306624375 = 0?\nAnswer: -57, 5, 755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-8)*q*(q**7*q)\/q)**(-46)\/((q**(-2)\/(q\/(q\/(q*q\/q**5*q*q*q))*q*q*q))\/(q*q**(-9)*q**2)) assuming q is positive.\nAnswer: q**(-783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 443 - 440. Suppose 3*j - s*t = 21, 4*t + 13 = 4*j + 3*t. Solve a + n = 0, -j = -5*n + 3*n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -3*f + 53 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0. Suppose -3*v + 49 = 7. Calculate the least common multiple of v and -8*(z\/(-2) + -1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 2*f**5\/5 + 373*f**4\/4 + 185*f**3 - f**2\/2 - 185*f + 774. Factor w(l).\nAnswer: (l + 1)**2*(l + 185)*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*c - 51*c - 4424 - 3033 = -1745 for c.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40\/17 + 32\/17*s - 2\/17*s**2 - 2\/17*s**3 = 0 for s.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + -0.46. Let h be (117\/65)\/((-6)\/(-40)). Let a be (h\/(-14))\/((-15)\/(-56)*-4). What is the third biggest value in a, 3, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.286 times -2551?\nAnswer: 729.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = 2*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 350\/169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, f: 5, s: 6, c: 4, p: 1, e: 3}. What is prob of picking 1 e and 1 f?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 + -67. Solve -4*v + q*v = 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4063.374 + -4059. Let b = 0.026 + f. Let d = b - 4.3. What is the nearest to d in -0.4, 5, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 855 + -17947\/21. Find the common denominator of d and -23\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(7)*5).\nAnswer: -4 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 48880.1 weeks?\nAnswer: 29562684480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from {l: 6, w: 12}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 507440 rounded to the nearest 10000?\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1 - (3*56\/8 - 3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 13. What is the remainder when 935 is divided by q(-11)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.896118557 rounded to 2 dps?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/2416 and -27\/13288?\nAnswer: 26576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25801 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0 = 4*l + 5, -5*l - 2 = 2*c. Suppose 16*u - 11*u - 65 = l. Suppose -9*j + u*j - 124 = 0. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 divided by -13.\nAnswer: 122\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(448) - (sqrt(448) + -2 + -1))*-4 + -2 + -1)**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.17982 + 4129.97982. What is m rounded to the nearest 100?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.647542 kilometers in meters?\nAnswer: 6647.542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 5333197.\nAnswer: -533319.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29306 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 + 1675.\nAnswer: 1659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1021, 1031, 1047, 1069, 1097, 1131, 1171?\nAnswer: 1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n**2 + 12*n**2 + 14*n**2 - 49*n**2 + 11*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 5*w + 2. Let d be v(-7). Let s(m) = m**3 - 15*m**2 - 16*m - 5. Let a be s(d). Suppose 0 = -4*q + 2 - 6. Sort 18, q, a in decreasing order.\nAnswer: 18, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5\/6 - 520459*a**4\/6 - 33859045756*a**3\/3 + 169299652706*a**2\/3 - 90293911456*a + 45147129216 = 0. Calculate a.\nAnswer: -260232, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -4. Let p = -0.108 - -615.108. Let i = 615.4 - p. What is the closest to v in 5, i, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -20. Does 12 divide (-3)\/6 - (-163)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1150 divided by -230\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 148*h. Let t(x) be the third derivative of -x**5\/30 - 8*x**2 + 7. Calculate q(t(c)).\nAnswer: -296*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 3)*(0 + -2). Suppose 5*o - 25 = 0, 2*o - 14 = -i*t - 0*o. Let s be (t - 2) + 5\/1. Solve 3*h = s*m - 2, m + 4*h - 6 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -7\/8228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -283*a - 6. Let x(o) = 69620*o + 1475. What is 1475*h(g) + 6*x(g)?\nAnswer: 295*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 524, 5.38 in ascending order.\nAnswer: 2, 5.38, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 550 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1. Let m(i) = i**2 + x*i**2 + 0*i**2. Let n(f) be the second derivative of -f**4\/12 - 11*f + 1. What is n(m(q))?\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, d: 3, r: 2, f: 1}. What is prob of sequence erfr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13063 + -13063.5841. Let j = d + -0.0569. What is j rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.935579 tonnes to grams.\nAnswer: 4935579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/35)\/(3\/(-14)*(-368)\/(-24))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 2\/7*q**2 + 2\/21*q**3 - 6\/7*q - 3. Let j(t) = 0. What is t?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, t: 5, r: 1}. Give prob of sequence ttrt.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(136)*3 + sqrt(136))\/(5*sqrt(72)) + (3 + 2*sqrt(68)\/(sqrt(20)\/sqrt(5)))*-4.\nAnswer: -137*sqrt(17)\/15 - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**4 - 28*c**3 + 14*c**2 + 4*c - 2. Let k(f) = -2*f**2 - 2*f + 1. Let u(i) = 2*k(i) + y(i). What is the third derivative of u(t) wrt t?\nAnswer: 48*t - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -23, -3, 17.\nAnswer: -23, -4, -3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 + 68 + -35 - (3 + 49)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1594 is divided by 118.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 17*l**2 - 15*l + 11. Let y be b(16). Find the third derivative of -17*x**6 - 89*x**2 + 27 - y - 3*x**6 wrt x.\nAnswer: -2400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13784018 to the power of 1\/2, to the nearest integer?\nAnswer: 3713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 at most 536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 809, 6471, 21831, 51737, 101037?\nAnswer: 174579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 11:04 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 m when two letters picked without replacement from {i: 1, y: 1, s: 1, h: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 204, 414, 624, 834?\nAnswer: 1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3269 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35224 - 35224 + 429*j + (-2*j + 2 - 2)*(-1 + 2 + 1) - 4*j + 0*j + 2*j)*(6 - 4 + 1) to r + x*j and give x.\nAnswer: 1269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -91*w + 12391000. Let f be v(0). Round f to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129726, 2, -4 in ascending order.\nAnswer: -4, 2, 129726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743.2457 rounded to the nearest ten?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -449\/3 - -148. Let w = 1\/131 - 395\/262. What is the second smallest value in w, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 126.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w - w - w + 0*w + 8 + 0*w. Calculate x(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 8*r - 17. Let i be v(5). Put i, 1, 2 in increasing order.\nAnswer: i, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1229*r - 370 = 1599*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3618984.\nAnswer: 2, 3, 150791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 4*c**2 + 7*c + 1. Let l(f) = f**3 - 8*f**2 + 2*f - 7. Let g be l(8). Let s = g + -4. What are the prime factors of r(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f + 15. Let z(q) = 2*q**2 + 2*q - 2*q**2 + 3 + q**2 - 2. Let j be z(-1). Solve j = -r - 2*x, r = -0*r - f*x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107058704 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**3 - 3*m**2 + 10*m. Let b(g) = -g**3 + g**2 - g. Let z(u) = 3*b(u) + x(u). What is the second derivative of z(r) wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6))\/((-8)\/48).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2102, -4246, -6390, -8534?\n\"Answer: -2144*u + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96287 - -66377. Let d = q - -29910.13359. Let s = -0.133 + d. Round s to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - b + 32 = 6, 3*l + 3*b - 18 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 464458 to the power of 1\/2, to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 2*j**6\/5 + 13*j**5\/5 + 19*j**4\/3 + 22*j**3\/3 + 4*j**2 - 35*j. What is u in r(u) = 0?\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.012? (a) 0 (b) -2\/5 (c) 0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -5 + 7 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 386632500 divided by 128877500.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, s: 1, x: 1, c: 3, b: 1}. What is prob of sequence bs?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.26 - 13.74. Let s = z + 10.5. Round s to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 1. Let a be 16 + (-37 - (-24 + 0)). Sort 5, -1, r, a in increasing order.\nAnswer: r, -1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(121) + -4*(sqrt(121)*-3 + sqrt(121))))\/(2*(sqrt(176) + (sqrt(176) - (sqrt(176) - (sqrt(176)*-2 - sqrt(176)))) - sqrt(176) - sqrt(11))).\nAnswer: -9*sqrt(11)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97 + -175. Let b be (4\/14)\/(g\/(-728)). Factor 2\/3*i**2 - b*i + 8\/3.\nAnswer: 2*(i - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 12) + -3 + (-351)\/(-51) + (-332)\/(-2822)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*n = -2, -3*f - 11 = f + n + 6*n - 0*n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - -0.6. Let u be (-1)\/2*(-10 - -10). Suppose -3*y + 3*i + 18 = u, -4*y + 2*i - 3 = -7*y. Put c, y, 0.5 in decreasing order.\nAnswer: y, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 155 + 86 = d, 480 = 2*x + d. Suppose -514 = -3*j + x. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 7) to base 14\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13560 and 4972?\nAnswer: 149160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, x: 1, u: 1, c: 1}. Give prob of picking 1 x and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 178*q + 14. What is a(2)?\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 5 = -t + 10*r, -16 = 5*t + r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -55.6?\nAnswer: -51.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.5 + 17. Let q = j - 8. Let l = 0.9 + -1. What is the biggest value in 4, q, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 35*s - 3. Let q be u(-9). Which is bigger: -397 or q?\nAnswer: -397","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37494*b**3 + 2*b**2 + 0*b**2 - 2*b**2.\nAnswer: 37494*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146262*n**3 + 4*n**2 - n**2 + 146268*n**3 - 5*n**2 + 3*n**2.\nAnswer: 6*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**3\/7 + 2283*h**2\/7 + 433197*h\/7 - 435483\/7 = 0.\nAnswer: -381, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52288 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 39*s = -4704. Suppose 0 = -c + 9 - 23. Let j be (12\/c)\/((-14)\/s). Is -11\/2 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 + -0.3. Let r = -15 - -18. Let s = c - r. Sort 5, s, 0.1.\nAnswer: s, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(104) + sqrt(104)*-2 - sqrt(104)))\/sqrt(8).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/7*(-1690)\/(-18590). Suppose -5*q = u + 2*u, -2*q - 3*u + 9 = 0. Put o, q, -5.1 in decreasing order.\nAnswer: o, q, -5.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25758 divided by -1\nAnswer: 25758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, 17, -3, 2\/19, -2\/19, -2\/9 in descending order.\nAnswer: 160, 17, 2\/19, -2\/19, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**4\/4 + 13*x**3\/3 - 4*x**2 - 24*x - 36. Let z be w(12). Calculate the highest common factor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*o + 0 - 8*o + 1)*(3 - 3 + 2).\nAnswer: 8*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 6 = 5*n + 4, -5*l = 3*n + 16. Suppose 2*g - 1958 = -n*t, 5*t + 4*g = t + 2616. List the prime factors of t.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28606878 divided by -3.\nAnswer: -9535626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 2 + 1 + (-1 - 3). Let l be (0 - j\/(-5))\/(6\/(-15)). Suppose 3*h + 3 = 2*o, 2*h + 23 - l = -5*o. Which is smaller: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93.168 + -93. Let j = 0.1681 - v. Round j to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 943437\nAnswer: 2830311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f. Let a(k) = -157*k. Calculate a(i(m)).\nAnswer: -157*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -11323022340?\nAnswer: 11323022340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/14*(66\/345)\/(-11))\/1\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 16*c**2 - 33*c + 35. What is g(13)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-75))\/(((-162)\/60 - -2)*84\/(-1911))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 divided by 593.\nAnswer: 87\/593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 30 = -a. Find the second derivative of -74*b + 16*b**5 + 15429*b**3 - 15429*b**a wrt b.\nAnswer: 320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (102\/(-357))\/((-1)\/14). Suppose 2*y + 5*h - 4*h - 3 = 0, -4*h - 36 = -4*y. Suppose 0 = 2*z - y. Solve -3*o = p - f - z, -o + 2*p + 2 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + 0 + ((1 + sqrt(128))*4 - sqrt(128))))**2.\nAnswer: 768*sqrt(2) + 4672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-105)\/(-30) - (36\/8 + -3). Suppose 38 = -m*j + 192. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*t = -4, 488*t - 486*t = 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28250 - 28250 - 69*h)*(2 + 1 - 5)*(-11 + 1 - 3).\nAnswer: -1794*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2 + 7 + 1 - 2 - n. Let y be q(2). Suppose 6*u = 5*u + 5*i + 31, y*u + 4*i + 8 = 0. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(304) - 2*sqrt(304)) + 0) + 3)**2 + 5.\nAnswer: -48*sqrt(19) + 1230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**4 - 3391470*c**2 - 5993845.\nAnswer: 8*c**3 - 6782940*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 - 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1643*h**4*o + 865*h**3*o**2 + 458630*h*o**2 - 6*o**2 wrt h.\nAnswer: -19716*h**2*o + 5190*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let a(o) = -215*o**2. Give i(a(z)).\nAnswer: -215*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.1 - 0.1. Let k = -18 + l. Let o = -3 - k. Which is the biggest value? (a) 3\/4 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7\/2, -250.7, 1\/17?\nAnswer: -250.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 - 2*w - 2. Let j(l) = l**2 - 8*l - 2. Let b be j(9). Suppose b = -3*p - 2. Is x(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**6\/33 + 8*b**5\/55 - 3*b**4\/22 - 123. Determine r so that f(r) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23072 and 2464.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 51, 74, 95?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 2*w**2 - 4 - 9*w**2)*(-11 + 1 + 0).\nAnswer: 40*w**2 + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154606875 and 55.\nAnswer: 1700675625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*f*x**4 + f*x**3 + f*z + 6*f + 2*x**2*z + 3*z wrt x.\nAnswer: 68*f*x**3 + 3*f*x**2 + 4*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25907 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*c + 1106, 2798 = 5*f + 14*c - 10*c. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = l - 0*l. Let q = 3 + l. Suppose 1550000 = 7*k - q*k. Round k to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 5*i - 18. Suppose -2*w - 4*h - 22 = -0*h, -2*w + 2 = -2*h. Let k be (-8)\/2*(w - -5). What are the prime factors of r(k)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 25*g + 122. Calculate w(31).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let q(v) = v - 2. Let y be q(-3). Let z be n(y). Let o(m) = -2*m**3 - 3*m - 34 + 6*m**2 + m**3 + 30. Calculate o(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016731 rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/29257148 and 29\/10?\nAnswer: 146285740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-36)*(2 + 4). Suppose -340 = i + 4*b, v*i + 4*b + b = -686. Is (i\/(-42))\/((-2)\/(-14)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*m - 10, -6*m = -2*m + f - 20. Calculate the highest common divisor of m and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 + 100*i**2\/3 + 2443*i\/3 - 848.\nAnswer: (i - 1)*(i + 48)*(i + 53)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2))**(1\/36)\/(y*y*y**(-1\/3)*y\/y**(1\/6))*(y\/y**(-1\/7))\/(y*y**2)*y**6\/y*y**(1\/7) assuming y is positive.\nAnswer: y**(403\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 981*m + 4917. Give n(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfyvyfvfhofo. Give prob of picking 1 o and 1 h.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 5*d = 30, 5*h = 113*d - 108*d + 40 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**3 - 6*z**3 + 22 + 18 - 40.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nlr when three letters picked without replacement from {a: 2, n: 1, l: 1, r: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 273\/(-1274) - ((-10)\/4 - -2). Factor 0 - b*a**2 - 6\/7*a.\nAnswer: -2*a*(a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555 is divided by 139?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -22*v**5 - 295*v**4\/4 + 234*v. Find the third derivative of m(l) wrt l.\nAnswer: -2640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/21, -5, -64, -3\/2.\nAnswer: -64, -5, -3\/2, 1\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4784 and 61870?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u + 8*u - 28. Suppose -12*m + 180 = -u*m. Solve 2*i + 28 = m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 360 or -0.539596?\nAnswer: 360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6272 + 7190. Calculate the remainder when b is divided by 902.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 141 and 5?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/6)\/(-3)*14\/(-35).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68406437*t**5 - 13416456*t**2 - 3*t + 1?\nAnswer: -4104386220*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 1:38 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18478*x + 89845 + 21023 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28.0095 and 0.5?\nAnswer: 28.5095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -705\/4 or 1\/202?\nAnswer: 1\/202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*c - 189152 = -176325 for c.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 25 = -2*h, -4*j + 2*h = -h - 39. Let n = -10.981 - -7.981. Which is the third biggest value? (a) -4 (b) n (c) j (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 7*g**2 + 2*g**2)*(-g + g - 2*g**2 - 2).\nAnswer: 8*g**4 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1454?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6920190 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: Sort -5, 5, 6, 114, -1\/1025 in ascending order.\nAnswer: -5, -1\/1025, 5, 6, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.144 - 22.744. Let z = u - -22.5. Is z at least 611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29720, -26328, -20678, -12770?\n\"Answer: 1129*r**2 + 5*r - 30854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9020180?\nAnswer: 2, 5, 13, 34693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3*(-4)\/36)\/(1\/15). Suppose 31 = q*o + 36. Let w(j) = -237*j**3 + j**2 - 2*j - 2. Is 49 a factor of w(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -45033, -45033, -45039, -45057, -45093, -45153, -45243?\n\"Answer: -j**3 + 3*j**2 - 2*j - 45033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -41, 1, 35, 55, 55, 29?\n\"Answer: -i**3 + 2*i**2 + 43*i - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u - 45 + 3*u - 156*u + 91 - 42.\nAnswer: -130*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 17*g = -30 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 15*p - 5. Let a be f(10). What is the units digit of (6\/a)\/((-1)\/(-10))*120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-106)\/(-5))\/((-15)\/75). Let x = -103 - y. Suppose 0 + 8*n + 4*n**2 + 1\/2*n**x = 0. Calculate n.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 20163 - 20443 for f.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-3 - -1) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = d - 1 - 1, -3*d + b + 14 = 0. Suppose 205 = 5*w - d*p, 4*w = 2*w - 3*p + 72. What is the remainder when w is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 19950.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 1:48 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4529628.\nAnswer: 2, 3, 41941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.878775ug in kilograms?\nAnswer: 0.000000008878775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1054.6ng to milligrams.\nAnswer: 0.0010546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1074.1 - 1074. Which is the biggest value? (a) 2 (b) 103 (c) z (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 79*h**2 - 10*h - 21. Let y(g) = g**3 + 115*g**2 - 9*g - 21. Let f(x) = 3*r(x) - 2*y(x). Determine f(-7).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -322726\/11, -14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7698*-0.83\nAnswer: 6389.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 0) + -6 + -9 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.315986 decades?\nAnswer: 0.02315986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 244?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n = 0. Let z(o) be the third derivative of -1\/360*o**6 - o**2 + 1\/72*o**4 + 1\/180*o**5 + n*o - 1\/18*o**3 + 0. Factor z(r).\nAnswer: -(r - 1)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2\/5, 0.06, -4\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 1 - 8. Let k be (2\/l)\/(5\/(-30)). Let -8*s**4 - s + 8 - 8 + 4*s**2 + s**3 + k*s**4 = 0. What is s?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 5 - (10 - 12) - (-8 + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 4*i + 4*i)*(-30036*i**2 - 8751*i**2 + 67464*i**2).\nAnswer: -28677*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + v + 100. Let z be k(0). Suppose 3*u - 7*u = -z. Suppose 3*w - 3*t + 4 = w, 4*t = 4*w. Solve 3*j + 24 = w*n, -n - 2*n + 4*j + u = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8266.\nAnswer: 2, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 2, 5\/4, 5, 100\/3 in decreasing order.\nAnswer: 42, 100\/3, 5, 2, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24513731 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -9453513743 to the nearest one million.\nAnswer: -9454000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 2:02 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 6) in base 13?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96 - -98. Suppose 0 = -3*v - 4*q, 0*q - b*q = -2*v. Suppose 5*w = 4*r - 28 + 2, -4*w + 4 = 3*r. Solve -3*h - 5*j - 21 = v, -r*j = -8*h + 3*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = 53*z - 51*z. Let o = 82 + z. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 60.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2\/6 + 485*o\/6 + 475\/3.\nAnswer: 5*(o + 2)*(o + 95)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129*c**2 - 3*c + 69.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6100 + 6105. Let p(k) be the third derivative of 2\/15*k**3 + 1\/60*k**4 + 38*k**2 + 0 + 0*k - 1\/150*k**n. Factor p(t).\nAnswer: -2*(t - 2)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2. Let b(x) be the third derivative of -8*x**5\/5 + 121*x**2. What is r(b(y))?\nAnswer: -18432*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -12\/17 + 2\/17*h - 2\/17*h**3 + 12\/17*h**2 = 0. What is h?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-9)*(-10)\/(-125)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s - 29. Calculate c(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132276?\nAnswer: 2, 3, 73, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 27*n**2 + 6*n + 35. Let t(y) = 26*y**2 + 5*y + 30. Let q(c) = 6*a(c) - 7*t(c). Give q(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000475743968 to six dps.\nAnswer: -0.000476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 830 = -2*h - 3*b, -423 = -h - 4*b. Suppose 5*r + h = 16*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707 (base 15) to base 13.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.92 - 16. Let i = c + -1.12. Is -1\/4 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + -50.04. Let c = v + -0.959992. Round c to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -472216*h**2 - 38721724*h - 984.\nAnswer: -4*(h + 82)*(118054*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3326341358 to the power of 1\/2, to the nearest integer?\nAnswer: 57674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0*s + 0*s - 3*s)*(-1 + 6 - 3).\nAnswer: -6*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/20395 or -126?\nAnswer: 4\/20395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, -65, -1.\nAnswer: -65, -1, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9659592559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*(-15)\/(-30).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2897609 take away -3197.82?\nAnswer: 3201.1097609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**3 - 256*v**2 - 940*v + 66058. Calculate k(86).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 7*i + 8. Let n be z(-6). Let s = 3 - 2. Let c = s + 2. Solve c*u = 2*w + u + 6, -w + n*u - 7 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -350, -2821, -9528, -22589, -44122, -76245, -121076, -180733?\n\"Answer: -353*z**3 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00325167 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 2*v - 5, 2*v - 25 = -11*o + 28*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3948)\/(-2303)*(-7)\/(-4)*-2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/363072 and -139\/1776.\nAnswer: 13433664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2. Let i(p) be the third derivative of -1357*p**5\/15 + 2527*p**2. Determine f(i(l)).\nAnswer: 58926368*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 - 26445910*o.\nAnswer: -26445910*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.362608 micrometers in kilometers?\nAnswer: 0.000000000362608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3872, 15606, 35128, 62438, 97536, 140422, 191096?\nAnswer: 249558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30, -16, -58, -96, -130, -160, -186?\n\"Answer: 2*g**2 - 52*g + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1894 is divided by 624?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1642*z - 1672 wrt z.\nAnswer: 1642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 5*r + 0*r)*(-r + 11*r + 9*r + (r + 3*r - 6*r)*(-3 + 4 + 0)).\nAnswer: -34*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-17\/5)*p**(2\/7)*p**8\/(p\/p**(-1\/13)) assuming p is positive.\nAnswer: p**(2188\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1021951 and 33299?\nAnswer: 72558521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, 55, 0.3, 15.9?\nAnswer: 15.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 17*y + 15. What is a(-16)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*f*o**6 + 165*f*o**3 + 2*f*o**2 + 17760*o**2 wrt o.\nAnswer: 10200*f*o**3 + 990*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 3:04 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/((sqrt(132)*2)\/sqrt(12) - sqrt(11)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-1 + sqrt(320) + -4))**2 + 5)*5.\nAnswer: -14400*sqrt(5) + 62125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-56)\/20 - 64\/20. Let i(z) = z**3 + 3*z**2 + 2*z + 3. Let r(m) = -36*m + 0 - 3*m**3 - 8*m**2 - 8 + 31*m. Give v*r(l) - 8*i(l).\nAnswer: l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*q + 8*q - 3024. What is the first derivative of -199 + 77*y - 12*y - 17*y + q*y wrt y?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, -15, -46?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 25*v - 23. Give f(-25).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 546*g + 1400. Let r be q(-9). What is r rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1518753?\nAnswer: 3, 506251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -12. Let n be 2 + 2 + j + -4. Put -4, -5, n in decreasing order.\nAnswer: n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 5:29 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 1:36 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + q - 18 = 0, 4*g + 2*q - 4*q - 20 = 0. Let p = 14 + -8. Let n be (10 - 0)\/(4\/p). Solve -g*o + 1 = -n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5\/y*y*y**(-1\/10)\/y)**(-32) assuming y is positive.\nAnswer: y**(-624\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -37, -2\/7, -1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 21076.\nAnswer: -21072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 117.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/3 - 1 - -3. Let d be ((-4)\/(-10))\/(4\/200) - r. Suppose 5*x = 0, -3*x + d = 4*c - 7. Calculate the greatest common divisor of 54 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8397 = -105*q - 6192 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 - 93. Let p = 4076 + -4076.1. What is the fourth biggest value in -4, p, -0.9, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -3*c**4\/4 - c**3 + 15*c**2\/2 - 9*c + 219. Find z such that u(z) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.07.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212825 is divided by 3669.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 17*j**2 + 17*j + 11. Let b(m) = -m**3 - 16*m**2 + 18*m + 11. Let p(f) = -3*b(f) + 2*h(f). Does 14 divide p(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 7095*f + 939602. Give c(135).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 3*r - 3 = 0, g + 4*r + 287 = 283 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -261*q - 329. What is the units digit of z(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 8*r + 2*r + 4*r - 8*r**4 in the form h*r + m*r**2 + n + k*r**4 + o*r**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + o - 56 = 0, -44 = -2*z + 4*o + 56. Calculate the lowest common multiple of z and 1881.\nAnswer: 11286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4 - 83*n + 51*n in the form s*n + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 10, -6, -1\/2, 0.5, 33 in descending order.\nAnswer: 33, 10, 1, 0.5, -1\/2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z = 0. Let o be 2 + -412505 - (0 - z). Let y be (3 + o)\/((-3)\/40). Round y to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6875334.\nAnswer: 2, 3, 127321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*p = -v + 12, 0 = 4*v - 5*p - 3. Suppose -4*g + 0 - 5 = m, 0 = m + 2*g + 9. Let b = v - m. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/84 - (-71)\/6. Suppose 0 = 5*s - 4*i - 78, -5*i = -2*s + 26 + d. Suppose s*u = 2417 + 75. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 513714 and -243.8.\nAnswer: 513470.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-7)\/(k\/(k**4\/k*k)))\/((k\/(k*k**(-8)))\/k**(4\/9)))\/((k\/(k**(-3\/2)*k))\/(k*k**(-7)))**(-1\/75) assuming k is positive.\nAnswer: k**(-1031\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/28 + 1849411\/14. Let f = 129470 - o. Let q = -2582 - f. What is the common denominator of q and 1\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (143682\/(-1320) + 109)*156\/9.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w - 2. Let g(b) = -2*b - 3. Let k(m) = -6*g(m) + 5*t(m). Let h(a) = a**2 + 7*a. Let c be h(-6). Give k(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/56 and 75\/784?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29 and 216542?\nAnswer: 6279718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.69 + 1.31. Which is the nearest to -2\/35? (a) 1 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 2, -9*k + 6*k + v - 10 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -y + 3*x - x, -2*y + 3*x = -6. Suppose 87 = y*m - 5*m. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2299769 is divided by 138.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 43*i - 15. Give r(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**3\/3 + 5*p**2\/2 - 51*p - 4. Let s be u(-11). Solve 0 = 8*g - 5*g + s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 6. Suppose -g - 5*t + 17 = 0, 2*g + 0*t + 21 = t. What is v(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5006 - 3558. Solve -z*u - 1 = -1449*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 89022, 178070, 267138, 356238, 445382?\n\"Answer: 2*n**3 - 2*n**2 + 89040*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 328709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 11*l - 5. Let h be w(4). Suppose 5*z + 0*q - h = q, -2*z - 2*q = -6. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**4 + 1733*u + 6636 with respect to u.\nAnswer: 8*u**3 + 1733","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5133 - 5133 = -11*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/7))**(13\/2)\/(i**(-2\/13)\/(i*((i*i*i**(3\/10))\/i*i)\/i*i)) assuming i is positive.\nAnswer: i**(5374\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7c (base 13) to base 3.\nAnswer: 10211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -23, -38, -57, -80, -107?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3818253?\nAnswer: 3, 23, 55337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(325) + -1 + (sqrt(325) - (sqrt(325) + -1)) - -2*sqrt(325)*2) + 3*1*sqrt(325) + -4)**2.\nAnswer: -320*sqrt(13) + 20811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 7*o + 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 656078 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186, 182, 176, 168, 158?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -13162?\nAnswer: 13163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3503553056 + -2?\nAnswer: -3503553058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 34*h + 32 + 10.\nAnswer: -34*h + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1633 - 815 + 3736*y - 818 + (-y - 2 + 2)*(5 + 7 - 2) in the form f*y + x and give f.\nAnswer: 3726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, o: 3, i: 2, x: 1, q: 1}. What is prob of picking 1 i and 1 b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13 - 14\/107100*104514 - (-4)\/6. Is -1 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9 - -18316471.\nAnswer: 18316470.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*k + 120*k + 3031 = 0. What are the prime factors of k?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlwvwvlrwrrr. Give prob of picking 1 v and 2 r.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98213 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 36 = -3*j. Let c(u) be the first derivative of u**4\/4 - 11*u**3\/3 - 6*u**2 + 12*u + 48207. Calculate c(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*m - 219 - 35*m - 44*m + 219)*(-3*m + 3*m - m**3) to the form x*m**4 + c*m + d*m**3 + r*m**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*-1.8.\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -149, -152, -157, -164, -173?\n\"Answer: -f**2 - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 66\/25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r. Let z(a) be the first derivative of a**3 - 7. What is j(z(q))?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1512)\/1680)\/(12\/10).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 1 + (-3 - 5 - -5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3256321479.\nAnswer: 3, 19, 313, 182519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 10121?\nAnswer: 10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 0 - 649*q.\nAnswer: -649*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -58*n + 28 + 105*n - 52*n. Calculate b(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 2*w + 419311 - 419335, 5*w + 2 = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in 2\/17, -250, 3\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -200460990.21 rounded to the nearest 100000?\nAnswer: -200500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/9 - 56*u**2\/9 + 8*u\/9 + 224\/9.\nAnswer: -2*(u - 2)*(u + 2)*(u + 28)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 6907893.\nAnswer: 20723679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + t)*(2 - 1 + 1)*(t + 0*t - 5*t) - t**2 + 2*t**2 + 0*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 453261 + 26?\nAnswer: 453307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2293 = 1669. Suppose -7*t + 4*t = -2*n + g, 3*t = 0. What are the prime factors of n?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1399 = -4*l, 3*l + 428 = -2*c + 1472. Suppose 2*z + g - 114 = z, -g = -3*z + l. What is the highest common factor of z and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3 = 15. Suppose 16 = -4*q - 4*f, 4*q - f = -0*f - 16. Sort -3, a, q in descending order.\nAnswer: a, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21, 14, 3, -12, -31?\n\"Answer: -2*p**2 - p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*c**4*o - 59*c**3*o**2 + 65*c*o**2 - 2*c - 2*o**2 wrt c.\nAnswer: -96*c**2*o - 354*c*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 2*w + 4*w)*(0 + 0 - 3*w) + 2*w**2 + 4*w - 4*w - w**2 + 0*w**2 + 6*w**2.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*6\/(-14) + (-30)\/(-42)*-88?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1198 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 453\/8 + -57. Suppose -l = -3*l + 4. What is the common denominator of o and l\/(-6) - 133\/(-48)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/7 - 846*q\/7 + 6704\/7.\nAnswer: (q - 838)*(q - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -17, -2, -3, -2227 in descending order.\nAnswer: 6, -2, -3, -17, -2227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.14 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**7\/336 + d**6\/80 + 3*d**5\/160 + d**4\/96 - 13*d + 19. Let u(m) be the first derivative of w(m). Factor u(y).\nAnswer: y**2*(y + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*(8\/(-24))\/(7\/(-5)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -4. Suppose -o*g = g + 4*u + 8, g + 3*u = -6. Suppose 3*a - 2*z = 20, g = -a - 0*z - 5*z + 35. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -78597*c + 39301*c + 39294*c. Let o(y) = -1553*y. What is o(h(k))?\nAnswer: 3106*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5450 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 303661580 to the nearest integer?\nAnswer: 17426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/5))**(-5\/3)\/((t**0\/t)\/t)**(-1\/21)*t**(4\/3)\/(t\/(t*t**(3\/5)))*t*t**(-2\/7)*t**(-2\/7) assuming t is positive.\nAnswer: t**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2. Let a(n) = 9411*n**2. What is a(r(y))?\nAnswer: 9411*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 14440002?\nAnswer: -14440004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 2*(sqrt(304) - (sqrt(304) + -1 + -5)))*5)**2.\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 20. Let k be j(15). Solve -k*x - 11 = 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkmkkrkkmk. Give prob of sequence kr.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 808c (base 16) to base 15.\nAnswer: 9b3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 5:53 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/859 + 7721\/8590. Find the common denominator of k and (-4446)\/(-728) + 2\/14.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -34*f**2 + 5*f - 80. Let l be h(-11). Let y = l - -6686. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -133 + 14?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6)*(-21)\/((-210)\/100).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 11:36 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -131 and -122 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 5*q - c, -2*q + 3*c = q + 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2599001930 and 552.\nAnswer: -2599001378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 - 108. Let z = n + 42. Solve -2*b + b = -z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 55 (b) 1\/5 (c) -608 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -181*i**2. Let s(a) be the first derivative of -a**2 - 251. Calculate q(s(f)).\nAnswer: -724*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-11 + -6 + 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9422)\/(-56) - 2\/8. Suppose 1683 = 5*c + n. Suppose -2*p = 3*d + p - c, -d = 3*p - 93. What are the prime factors of d?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 0.1, -6, 0.2, -0.4, 2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {x: 2, r: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 3*r - 92 = 0, -o + 0*o + 88 = -3*r + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*u - 49*u - 129*u + 292*u - 59*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*w + 2907 = 0, -4*n - 8*w + 11676 = -4*w. Suppose 3*a + 6*c - 5*c - n = 0, c - 4 = 0. List the prime factors of a.\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, h: 9}. What is prob of sequence nn?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 20 = 120. Let k be (2\/5)\/(3\/(-15)). Let f be k*10\/(-4)*4. What is the greatest common divisor of h and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339234411?\nAnswer: 3, 2593, 43609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43877\/12 - -3663. What is the common denominator of -105\/986 and j?\nAnswer: 5916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -2*l**3\/9 + 2*l**2\/3 + 2*l - 4. Suppose f(b) = 0. What is b?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 212 and 28143?\nAnswer: 112572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1312*l - 1955 - 908 = 1529*l - 476 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7126986, -7127020, -7127054, -7127088, -7127122?\nAnswer: -7127156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4*352\/264?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -9*i. Let p(w) = w**3 - w + 6. Determine p(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 6 + 18 - 6 - 6.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -3, 4, 3, 0, -5 in increasing order.\nAnswer: -27, -5, -3, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/14692 and -43\/6.\nAnswer: 44076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 7) in base 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107940619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-135)\/10764*-23)\/(2\/16).\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/25 in 3.8, 1, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**4\/6 - j**3 + 2*j + 104. Let v(k) = -12*k. What is r(v(y))?\nAnswer: -288*y**2 + 72*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.3999924 + -2.4. Round j to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 735344645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1575 and 455.\nAnswer: 20475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 0 + sqrt(720)*-2 + sqrt(720) + 0 + 1 - (-2 + 0 + 2 + sqrt(720))**2)*-5*-2.\nAnswer: -7190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2880)\/(-468))\/40*(-4)\/16.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2970 and 990.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/3)*t**5*t**(-7)\/(t\/t**7) assuming t is positive.\nAnswer: t**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 368 by -78344.\nAnswer: -46\/9793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (147\/(-90))\/(6 + -7) and 49\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 21*z = 882. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(3\/2)\/f*f)\/f)\/(f*f**4)*f**(-1\/4)*f**(2\/9))**(-1\/33) assuming f is positive.\nAnswer: f**(163\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (145\/(-1827)*21)\/(((-20)\/(-33))\/(-4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**4 - 2184*z**3 - 59308*z**2 + 342744*z - 281248 = 0.\nAnswer: -517, -34, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5*-20\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/18*43*(-165)\/220*3.\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 4:25 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16098 divided by 4.\nAnswer: 8049\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 2*a + 6300, 3*j - 2*j + 2*a - 1575 = 0. Let n = j - -368. What is the second derivative of 23*p**5 + n*p**4 - 1943*p**4 - 2*p wrt p?\nAnswer: 460*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1 = -3*c. Is (-77)\/(-2*1 + c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 5*a**2 + 7*a - 4. Let m(u) = u**3 + 15*u**2 + 13*u - 10. Let b be m(-14). List the prime factors of l(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**1)\/k**(-3\/2))**31 assuming k is positive.\nAnswer: k**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*h*p*v + 4*h*v**2 - 320*p*v**3 - 57*v**3 + v**2 wrt p.\nAnswer: -5*h*v - 320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1860138313\/48 + 38751497. Let g = d + 4135\/3. Find the common denominator of 3\/2*(-95)\/(-195) and g.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 64 + 338*x + 344*x - 4*x**4 + 344*x - 280 - 1039*x wrt x?\nAnswer: -16*x**3 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 4 + (9 + 0 - (13 - -14)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48965 - -48969. Let f be ((-3)\/(-2))\/(-3)*-4. Suppose 0 = i - f*i. Put -3, a, i, -5 in descending order.\nAnswer: a, i, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20, -41, -62, -83, -104?\n\"Answer: -21*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + s + 3*s)*(3*s - s + 0*s) - s**2 - 2*s**2 + 2*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x + 4 = 0, 0 = -n - 2*x - 10. Let z be (n + 1)*(-10)\/35. Suppose -2*g + 28 = 4*v + z*g, 12 = 3*g. Solve -v*y - 12 = 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + p + 2*p)*(p - 78 + 78)*(-1291 + 7*p + 1291) in the form k*p**2 + y*p**3 + g*p + d and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, -1, 0.4, -41.71, 2\/11, -72?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2993 and 6596.\nAnswer: 19741828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5555800 by 100.\nAnswer: -55558","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + s**2 + 2*s**2 - 2 - 5*s - 5*s**2. What is w(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 21*p - 91. Let n be s(21). Let c be (n + 93)\/(24\/10). Factor c*k**3 + 0 + 0*k - 1\/3*k**2 - 1\/2*k**4.\nAnswer: -k**2*(k - 1)*(3*k - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87044131*x**4 - 10290009*x?\nAnswer: 1044529572*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*c + 9 - 9)*(0 + 0 + c) - 3*c**2 + 1 - 1.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 24*f**3 - 3148. Let n(w) = w**2. Determine r(n(o)).\nAnswer: 72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqmm when four letters picked without replacement from {q: 5, m: 4, a: 3}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 64013*a + 25413154. Calculate q(-397).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14683290 divided by -16.\nAnswer: -7341645\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r**2 + 1 - 1)*(-r + r + 4*r**2) + 51*r**4 - 20*r**4 - 17*r**4 + 47*r**4 as q*r**3 + h + o*r**2 + b*r**4 + j*r and give b.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 18*s**2 - 16*s - 35. Let x be d(19). Suppose -4*m + 3*r + 1170 = 0, -x*m + 20*m + 580 = r. Calculate the remainder when m is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y + 12 = 0. Let o(b) = -b + 17. Let k be o(12). What is the nearest to 0 in 0.1, y, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 0 - 6 - 9 = 5, -2*y + 39 = -5*z + 7 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1592\/40 - (-2)\/10. Let y = -15 + h. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d - 1. Let p(v) = 98*v + 20. Let t(j) = -25*j - 4. Let l(k) = -2*p(k) - 9*t(k). What is 18*i(a) - 4*l(a)?\nAnswer: 10*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*s - 1467 = -206*s. Let c be (-1 - -1)\/(0 + -1). Suppose 0 = -c*y - y. Solve y*q = -3*q + s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 4*k + 4*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14120512 - -112?\nAnswer: 14121024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*u + 117, 2 = u - n - 67. Solve 2*z = -u + 72 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (46\/44 - 24\/44)*(2 + 136). Solve 33*w = -30 - i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000309794088 to 6 dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -74*n + 142. Let y be c(-5). Calculate the remainder when 44 is divided by y\/24 - 5\/(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 6:33 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1682602*n + 42065052. Give j(25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 5440650?\nAnswer: -5440652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 13*t**2 + 0 - 7*t + 1 + 6*t. Let o be v(2). Let c = 14 + o. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 848030091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3.799 * -0.1\nAnswer: 0.3799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13573827?\nAnswer: 3, 29, 131, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68666078.\nAnswer: 2, 13, 457, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, 2, -1221, 7, 5 in decreasing order.\nAnswer: 13, 7, 5, 2, 0, -1221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*r*u**2 + 2*b*r*u + 41*b*u**2 + 4*b*u + 4*b + 22*r*u**2 + 3*r*u - 2*u**2 - 4 wrt u?\nAnswer: -4*b*r + 82*b + 44*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 16. Suppose -1 = -3*l - w - 2, 2*l - 4*w = 18. Let t(i) = 1. Let b(z) = l*t(z) - c(z). What is the smallest common multiple of 6 and b(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 256 or 255?\nAnswer: 255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -171610, -31 in descending order.\nAnswer: -3, -31, -171610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = 4*i + 22, i - 2*i = -4*l + 18 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4987 + (0 - 72\/8).\nAnswer: 2, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 3\/2*a**2 - 69\/2*a**4 + 59*a + 0*a**3 + 168. What is the second derivative of h(m) wrt m?\nAnswer: -828*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -931 = -9*b - 814 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160100 rounded to the nearest 10000?\nAnswer: 1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c. Suppose -2*h - 4 = -4*l, -5*h - 2 + 27 = -3*l. Suppose -h + 10 = 2*w. Calculate d(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23473, 94683, 213373, 379549, 593217, 854383?\n\"Answer: m**3 + 23734*m**2 + m - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -311*h**3 - 3*h - 2. Let b(c) = c**3 - c - 1. Let y(r) = -3*b(r) + l(r). Let u be y(-1). Let f be (13 - -1)\/((-18)\/u). Round f to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -180.9 + 180. Let b = 29.95 + -32. Let i = b - q. What is i rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 - 1861.7795.\nAnswer: -1847.7795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/13 - 928*d**2\/13 - 107648*d\/13 = 0. Calculate d.\nAnswer: -232, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 26*i**2 - 4*i + 4. Let h(o) = -6*o**2 + o - 1. Give 9*h(z) + 2*q(z).\nAnswer: -2*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, 2, -2, 904.\nAnswer: -10, -2, 2, 4, 904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 26 = -5*f + 36, 6*f = n + 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in 0.5, 4, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + d + 2*d)*(-5 + 3 + 3)*(0 - 3 + 2)*(-6727*d + 6727*d + 3923*d**2) in the form c*d**3 + v + m*d + j*d**2 and give c.\nAnswer: -7846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 31. Put r, 60, -1 in descending order.\nAnswer: 60, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 91*y. Let g(c) = c**2 - 2491. Calculate d(g(i)).\nAnswer: 91*i**2 - 226681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 44803285 divided by 1\nAnswer: 44803285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 0 = 3*f. Let d be (-8)\/(-4) - (f - 1). Let v be 4\/(-3)*6\/4. Which is greater: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(78)*-3 - sqrt(78)) + (sqrt(78) + (sqrt(78) - sqrt(78)*2))*-4)\/((sqrt(1728)*-1)\/(sqrt(2) - sqrt(18)\/(sqrt(9)*-1))))**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 62 - n + 0*n + 122.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + 0*b + b)*(-109 + 12 - 34) in the form c*b + a and give c.\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 38*s**3 - 683*s**2 - 14*s - 71. Determine r(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 180530.1ng in kilograms?\nAnswer: 0.0000001805301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1231 is divided by 345?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (15\/3)\/((-10)\/(-8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**3 - 5*q**2 + 236*q + 4. Let d(s) = 9*s**3 - 12*s**2 + 469*s + 9. What is 2*d(w) - 5*j(w)?\nAnswer: -2*w**3 + w**2 - 242*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*z = 31*z + 48. Suppose -4*p - 13 = 7, -3*p - 13 = 2*v. Let b(k) = k**3 - k**2 + k. Let q be b(v). Calculate the highest common factor of z and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0)\/(17\/595). Is 1*(-28)\/j*-250 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754 is divided by 546.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364 divided by -91.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1696*l + 244*l - 43501 - 5873 = 146566 for l.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81\/(-108)*(8\/(-5))\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2244065284?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 568?\nAnswer: 6248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1460 and 104.\nAnswer: 37960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5478 or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 159762791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2.1. Let w = 496 - 503. Let q be w\/35*(-35)\/28. Which is the nearest to q? (a) 3 (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 - (6 - 4)\/(-2). Let z be (-1)\/((-111)\/315 - 2\/o). Let q(v) = 2*v**3 + v**2 - v. Let l be q(1). Solve k = -l*k - z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 20 = -2*c, 0*n - 3*n - 9 = 3*c. Is -5 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398157261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33299, 65591, 97883, 130175, 162467?\nAnswer: 194759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -168 + 119*n + 168 as m + c*n and give c.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaap when four letters picked without replacement from {b: 2, w: 2, p: 5, r: 4, a: 4}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*x + 318, 0 = 4*q - 9*q - 5*x + 530. Suppose q - 656 = -11*b. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*o - 6*o + 4*m, 0 = -5*m - 5. Let a be o + (-30)\/8 - (-1)\/(-4). Solve -2*k + j = -a - 6, -k + j = -5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*(-69)\/(-46)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -5*u**7\/42 - 2*u**6\/3 + 113*u**5\/4 - 110*u**4\/3 - 1090*u**3\/3 + 1040*u**2 + 134*u. Find q, given that z(q) = 0.\nAnswer: -13, -2, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 - -0.16. Let d be ((-4)\/734 - 2) + 2. Let l = d - 1091\/1835. Which is the nearest to -2? (a) l (b) m (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1279 divide 74309900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 divided by -19?\nAnswer: -564\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**3\/3 - 11*d**2\/2 + 16*d - 9009. Determine u(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-9))\/(5*(-3)\/270). Let x be (31 - -4) + (c - 4). Solve -19*d - x = -12*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/45362621 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 26*f**2 + 6*f - 149. Suppose -1829*q + 1814*q = -390. Calculate s(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -484.4 (c) 3\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-171)\/27*11\/11)\/((-77)\/66)?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12002 and 124950.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 7*p. Calculate d(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 1, -32?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/19? (a) -10 (b) 4\/7 (c) 16859\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25, -46, -65, -82, -97?\n\"Answer: x**2 - 24*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at least -9\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -1025*v**4\/4 + 18*v**2. Suppose -5*f + 4*p + 10 = 0, 3*f = 5*p + 14 + 5. Let x be k(f). Round x to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110 - 106. Is (j*(-4)\/10)\/((-4)\/1570) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-5))\/((-4)\/(12\/(-33)))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 4:43 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -56.046. Let q = 0.024 - i. Put 4, q, -1\/3, -4 in decreasing order.\nAnswer: 4, q, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*b + 10254 = 0, 0 = -102*v + 106*v - 3*b - 20493. Is 55 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 5. Let z(m) = m - 3. Let o(s) = -3*r(s) - 5*z(s). Let q(n) = -6*n + 17. Let d(h) = -4*o(h) - q(h). What is d(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33313 + 35164. Does 48 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*o - 15. Let y(r) = 0*r + 0*r + 0*r + 3 - r. Let q be y(0). Put -5, q, o in descending order.\nAnswer: q, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72454 = 709*n + 837*n + 12160 for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 1705380.\nAnswer: 1705375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15147267139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/8478?\nAnswer: -1\/8478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16892943 to the nearest integer?\nAnswer: 4110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 26*p + 49. Let u be x(11). Solve -8*h - 15 = -u*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 76*f - 716. Calculate p(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119 - -100.6. Let w = q - -1.4. Let z = -16.5 - w. Which is the nearest to 1\/4? (a) z (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/13124 and 17\/772.\nAnswer: 13124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.01985 or 1?\nAnswer: 0.01985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 477 + 0.03.\nAnswer: 477.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2496 and 6422442.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.14 - 0.16. Let z = 0.3 + p. Is 0.3 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(11) + -4)*5.\nAnswer: -20 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2379572710.\nAnswer: 2, 5, 31, 7676041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(55)\/sqrt(11) + -4)*1 + 4 + -2.\nAnswer: -18 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1689 - -2788. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 6. Suppose -2*l + 0 - h = 0. Let u = -1 - l. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3106.6825 times 0.1\nAnswer: -310.66825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23, 48, 77, 110, 147, 188, 233?\n\"Answer: 2*p**2 + 19*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 120 = 2*n - 584, -2*n - 3*s = -701. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from wwvwvvwvwvwvvvwwvvw?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 7*v - v**2 + 10*v + 13*v + 11 - 38*v. Let o be m(-9). Find l such that 0 - 2\/5*l**o + 2\/5*l = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(9\/5)*c*c**4)\/((c**3\/c*c)\/c**(-8)))**(-21) assuming c is positive.\nAnswer: c**(441\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -z + 5, 2*p = 5*z - 18. Let v be (-7 - (-2)\/p)*16\/(-10). What is the highest common factor of v and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*w + 59, -4*w + 0 = -5*j + 113. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187108*h**3\/3 - 375328*h**2\/3 + 189332*h\/3 - 1112\/3 = 0. Calculate h.\nAnswer: 278\/46777, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 5)*(0*h + 0*h + h)*(1379 + 740 - 1172) in the form u + o*h and give o.\nAnswer: 947","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 + 3 + 5)\/(-3). Suppose k = -t + 482 + 37. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -221 + 216. Which is the third smallest value? (a) -1 (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7403 (base 8) to base 15.\nAnswer: -1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*w - 288 = 0. Suppose -p = -4*k + w, -2*k = 2*p - 18 - 18. Let s(i) = i. Let x be s(6). What is the greatest common divisor of k and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*y + 64*y + 154 = 0 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 341, 781, 1455, 2399?\nAnswer: 3649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -30?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-p**3 - p**3 + 0*p**3)*(16*p + 203 - 203) + 63*p**2 - 63*p**2 - 12*p**4)*(-7*p + 5*p - 4*p).\nAnswer: 264*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 29. Let k = f + 17.631. Round k to 2 decimal places.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 18. Put c, -0.4, -3 in decreasing order.\nAnswer: c, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*y - 21*y - 18. Suppose 0 = 5*r - 4*r + o - 1, -y*o = 4*r - 12. Suppose r*i - 520 = -205. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -7, 1.1, 0.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -965, 121, 1207, 2293?\nAnswer: 3379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.3 - -7. Let k = 458 + -457.5. Let o(r) = r**2 + 3*r - 37. Let n be o(-8). Which is the fourth biggest value? (a) n (b) s (c) k (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9284\/21 - 442. Let x = f + 4\/21. Let g be 1\/((-8)\/7 + 1). Which is the third biggest value? (a) g (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 0*u**5 + 0*u**4 + 0*u**3 + 1\/2*u**2 - 51\/2*u**6 + 25*u - 139. Find the second derivative of w(q) wrt q.\nAnswer: -3060*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 (base 10) in base 8?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 750*b*l**3*y - 240346*b*l**3 + 4*b*l**2 - 14*b*l*y - b*y - 9*l**2*y - 317*l**2 - 6*l wrt l?\nAnswer: 4500*b*y - 1442076*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28 - 18?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 306. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 r when four letters picked without replacement from {c: 3, r: 13}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l - 8. Let d be w(5). Let h be (-2 + -6)*d\/(-8). Solve h*q + 3*m = 18, -2*m = 4*q - 21 + 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**7\/21 + 2*u**6\/75 - u**5\/2 - u**4\/3 + 4*u**3\/3 + 8*u**2\/5 + 2*u - 52. Solve c(t) = 0.\nAnswer: -2, -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-2)*(-259)\/(-1110)*15\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10362138 to the nearest integer?\nAnswer: 3219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**2 - 3. Let z(q) = 13*q**2. Determine w(z(h)).\nAnswer: -845*h**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1098093?\nAnswer: 3, 366031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 11*z + 131 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253397135.\nAnswer: 5, 50679427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 121614, 121595, 121582, 121575?\n\"Answer: 3*l**2 - 28*l + 121639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + y - 2. Let p be 6\/(-4)*(-56)\/(-6). Let g(n) = -3*n - 34. Let q be g(-12). Let w(j) = j + 1. Let z(d) = p*w(d) + q*r(d). Factor z(o).\nAnswer: -2*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1729 - -3)\/4*-5. Let a = 4182 + x. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 390*z**3 - 513*z**2 wrt z.\nAnswer: 2340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1010*q - 973*q - 1739 = 0. Calculate the remainder when 379 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1362806 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*n - 38, -5*u = -2*n - 358603. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -267 + 4807\/18. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -99, -85, -65, -39, -7?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uccucccucuc. What is prob of sequence uccu?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/20 and 23\/5398.\nAnswer: 53980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3202+300837\nAnswer: 297635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2. Let x(d) = -d**2 + d - 1. Let v(h) = -135*h**2 - 15*h + 15. Let t(r) = -v(r) - 15*x(r). What is t(l(g))?\nAnswer: 600*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35 and 6336.83?\nAnswer: 221789.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y - 2. Let n(w) = -13*w - 9. Let g(x) = 18*k(x) - 4*n(x). Let c(s) = 2*s**2. Determine g(c(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, u: 5, z: 2}. Give prob of picking 2 u and 1 z.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iizizziaa. What is prob of picking 2 z and 2 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 11 + 40 = 2*m, 0 = 4*m - 3*v - 115. Calculate the remainder when 129 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6207 divided by -3?\nAnswer: -2069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 4159?\nAnswer: -3327.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 248778239\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3696 + 3749. What are the prime factors of x?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2 - 129951208*d + 2110914557582408 = 0.\nAnswer: 32487802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*z - 277*z + 41 = -5*w, 2*z + 4*w + 30 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -81 - 643\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ympnmtpnpmo.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 943, 937, 927, 913, 895, 873?\n\"Answer: -2*x**2 + 945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 9138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-26) + 60\/(-455). Suppose 4*h - 8 = 4*n, 5*n = -13 - 7. Let g = 2 + -3. What is the second biggest value in g, f, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -215*y**2 + 217*y**2 - 4*y - 35*y**3 + 0*y**3 in the form h*y + k*y**2 + f + m*y**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20188)\/735 - -27)*3?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 838 - 368. Let p = -259 + a. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l + 2. Suppose -5*h = 5*p - 10, 10 = 2*p + 3*p - 2*h. Let n(j) = -3*j + 2. Let s(f) = p*n(f) - 3*z(f). Find the first derivative of s(k) wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 - 4*q**2 + 4*q. Let z(s) = 370*s - 4. Let p be z(0). Let y(x) = -x**3 - 3*x**2 + 3*x. Give p*y(b) + 3*m(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyqqyyqqyqyqyysyyyqy. Give prob of sequence yq.\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 31369839924578 and 0.04.\nAnswer: 31369839924578.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 125878715 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 20\/7, 1\/3, -1\/14.\nAnswer: -1\/14, 1\/3, 2, 20\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 235 - (-1 - (-4)\/(-2)). Suppose 4*x - 5*w = r - 31, x - 48 = 5*w. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 8*v - 9. Let j(s) = -2*s - 5. Let y(i) = i + 3. Let l(a) = -3*j(a) - 5*y(a). Let r be l(-6). Is 3 a factor of b(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37969 + 68909. Is l a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/18 and -97\/1605822.\nAnswer: 4817466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -223190929 + 1?\nAnswer: -223190928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, f: 9}. Give prob of picking 2 j.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 7, -750, 147, -4, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 299 = -2506*w + 2501*w, -4*w - 5*w - 531 = 3*y for w.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 51. Solve c + 11 = -2*i - i, a*i + 9 = -c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30630 divided by 5.\nAnswer: -6126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 715518?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1203 is divided by 397?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9889043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52515266 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 + (-2 - 4) + -6 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 13*f**2 - 3*f + 25. Determine p(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 3:33 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-6*9\/6. Suppose -10*i = -33 - 37. Suppose -u = i - 4. Which is the second smallest value? (a) t (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 31 - 11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 4*m**2 + 4*m + 5. Let f be w(5). Suppose f = 3*h - 6*h + 12. Suppose n + 1749 = h*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2876 and 1438.\nAnswer: 2876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002829671916 to 5 dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/((sqrt(2) + sqrt(6)\/sqrt(3) - sqrt(2))*-3) + 3 - (-5 + (2*sqrt(90))\/sqrt(2)).\nAnswer: -19*sqrt(5)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215080.\nAnswer: 2, 5, 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103\/3 + -98\/3. What is the closest to 0.2 in 0.7, r, 5\/4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -375\/4 or -94?\nAnswer: -375\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -79107401, -158214802, -237322203, -316429604, -395537005, -474644406?\n\"Answer: -79107401*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/84)\/((-6)\/(-144))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2485388 (base 10) to base 16\nAnswer: -25ec8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 502.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 24. Suppose 32 = p*f + 11. Suppose f*t + j = 212, 2 = -2*t - 3*j + 134. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6*g + 15 = 0. Suppose -7*q + 50 = 15. Calculate the lowest common multiple of g and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*s - 1133 + 33 = -17*s - 15*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 65829779 to the power of 1\/3, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5950 - -35563\/6. Find the common denominator of 15\/7 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06939ms in hours?\nAnswer: 0.000000019275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(0 + 5 - 4)*(-2 + 4 + 0)*(2*c**2 - 7 + 7).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 440?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**3 - 2*m**2 + 1. Let u(p) = 13*p - 10. Let d(f) = 6*f - 5. Let x(w) = 9*d(w) - 4*u(w). Let i be x(4). Suppose -i + 6 = -3*y. Determine z(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - z - 1. Let b(t) = -4*t**3 - 10*t**2 - 5*t - 6. Let s(o) = 7*o**3 + 19*o**2 + 11*o + 12. Let g(i) = 5*b(i) + 3*s(i). What is 2*g(d) + 14*r(d)?\nAnswer: 2*d**3 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6826 + 8a?\nAnswer: 68b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -48. Suppose y = -3*t - t + 8. Suppose -4*h + 5*h - 5 = -w, 5*h - 4 = 2*w. Solve -3*o = -t*m + 9, -6 = h*o + m - 4*m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6703\/5 - -1348. Let c = x - 151\/40. What is the common denominator of c and ((-7)\/(-15))\/((-34)\/(-561))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*u - 119*u = -131*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s - s + s)*(0*s**3 + s**3 + 0*s**3) - s**4 - s**2 + s**2 - 3403 + 67*s**4 + 3403 in the form p + f*s**4 + g*s**3 + o*s**2 + j*s and give f.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -408620, -1634212, -3676864, -6536576, -10213348?\n\"Answer: -408530*s**2 - 2*s - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1575\/196)\/(-9))\/((-3150)\/(-15435))?\nAnswer: -35\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0362 + 0.0638. Let w = 2.03 + -0.03. Which is the fourth smallest value? (a) 3 (b) w (c) 3\/4 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -4\/15, 1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -339 - -1015\/3. Which is smaller: -3.3 or f?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w - w**2 + 2*w - 3*w + 3*w + w**2 + (-1 - 4 + 3)*(w**2 - 5*w**2 + 3*w**2) + 2*w**2 - 4*w + 4*w + 161*w**2 + 65*w**2 - 17*w**2.\nAnswer: 213*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -106 + (-2090)\/(-38) + 13 + 3.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9633 to 2 decimal places.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b**2. Let j(p) = -p**2 - 11*p - 10. Let t be j(-10). Let c(v) be the first derivative of -2\/3*v**3 + t*v**2 + 0*v - 1. Calculate c(x(w)).\nAnswer: -72*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 400 or 1\/111294?\nAnswer: 1\/111294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + 1*sqrt(495))\/(sqrt(1331)*-1 - sqrt(1331)).\nAnswer: -2*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 32*t**2 + 34*t + 144*t + 99*t + 63 + 16*t**2. Let b(d) = 6 - 14 - 54 + 3*d**2 - 50*d**2 - 278*d. Let s(h) = 3*b(h) + 2*g(h). Factor s(q).\nAnswer: -5*(q + 6)*(9*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*i + 72 + 57, 8 = -2*k. Let s = i - 21. Factor 24*d**s + 10*d**2 + 2*d**2 + 8*d - 28*d**4.\nAnswer: -4*d*(d - 2)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 37*l**2 - 8*l - 35*l**2 + 8*l. Let a(n) = 3*n - 2. What is a(o(y))?\nAnswer: 6*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (40990\/(-4) - -3)*(25 + -27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236901, -2\/3, -2\/5, -1.\nAnswer: -1, -2\/3, -2\/5, 236901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5753 - -2?\nAnswer: -5751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/7386 and -55\/18.\nAnswer: 22158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67*n**3 - 452 + 452 + (n - n - 2*n**3)*(-1 - 1 + 4) + 0*n**3 + 0*n**3 + 2*n**3 - 11*n**3 - 26 + 26.\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 643260085 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: Sort -2, 0, -167 in descending order.\nAnswer: 0, -2, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20851, 39698, 58557, 77434, 96335, 115266, 134233?\n\"Answer: p**3 + 18840*p + 2010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -274\/795 or -1?\nAnswer: -274\/795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-6))\/(2\/(-6)). Let h be -1*((-57)\/3 + w). Suppose g + 0*g = h. Does 21 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59845342*z**4 + 82345808 wrt z.\nAnswer: 239381368*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, -1, -1\/3, -0.1, -296, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/(-24))\/(5\/128) and -7\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(-2 + (sqrt(500) - (sqrt(500) - (1 + sqrt(500)))))**2 + 4*(sqrt(880)*-1)\/(sqrt(132)\/(sqrt(36)\/sqrt(3))).\nAnswer: -76*sqrt(5) + 1498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9049, -9050, -9051, -9052, -9053?\nAnswer: -9054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 206 and 1.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24939721 is divided by 195.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 smaller than -2\/167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*f + 25 = 0, -39*l + 40*l + 4 = 3*f. Suppose -4*x = -4*z + 11 + 1, -5*z = 4*x - 6. Put l, -3, x in increasing order.\nAnswer: -3, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -812, -816, -820?\n\"Answer: -4*c - 808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 27*s - 204*s + 0 + (-3*s - 2*s + 4*s)*(4 + 1 - 3)*(10 - 15 - 38) in the form h*s + r and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -572 - -2?\nAnswer: -570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from eajjejajazjjaaaezz?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 10 = -2*c. Suppose -8*t - 3 = -c*t. Which is smaller: 1\/15 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6462 - -0.6662. Sort -4, 14, l, -2\/5, 2\/3 in increasing order.\nAnswer: -4, -2\/5, l, 2\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/45900 and 31\/225?\nAnswer: 45900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f + 32. Give m(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 366 - 356 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - b = 9 - 5, 4 = -b. Suppose -j = 4*z - 5, -4*j + 4*z - 2*z + 74 = m. Let q = j - 9. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 1140*a**2 + 130200*a + 4214000.\nAnswer: 2*(a + 70)**2*(a + 430)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 2. Let b be d(-6). Suppose 3*k - b = k. Let i be 147\/15 + 3\/15. Solve 0*j + i = -k*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - d**2 + 2 + 0*d + 14*d**3 + d**2. Let l be j(2). Let c = l - 42. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -13*r + 23. Let j be l(2). Suppose 2*q + 2 = 0, 2*q = 5*h - 2*h + 1. Let k = h - j. Solve -w + 0*d + k*d = 2, -5*w - d - 21 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 173 - 275. Let l = r - -282. Suppose -5*d - d = -l. Solve -v = -3*m + 2*v + d, 0 = 2*m - v - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(432) + 0 + -5 + -2)**2.\nAnswer: -72*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2586082.126812 - 2586093. Let t = c - 0.125412. Let p = -11 - t. What is p rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + w - 12, 2*h + 2 - 6 = 2*w. What is the remainder when 17 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7)\/(b\/b**(-18\/7)))**47 assuming b is positive.\nAnswer: b**(-1269\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0048007 to 4 decimal places.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414867 is divided by 138288?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6575 + -26299\/4. What is the nearest to -1 in a, 1\/7048, 0.3, 3?\nAnswer: 1\/7048","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1785198, 1785206, 1785214, 1785222, 1785230, 1785238?\nAnswer: 1785246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 7:32 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -251892288 by 4.\nAnswer: -62973072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 28045*n - 28047*n. Calculate the highest common factor of n and 1833.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/17339 and 11\/19816.\nAnswer: 138712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196974 and 8277.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/20*972\/(-3402)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2.5 (b) -7\/4 (c) -0.06385\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -519, -1170, -2091, -3288, -4767, -6534, -8595?\nAnswer: -10956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u**4 + 12*u**4 - 8*u**4 + (-16 + 16 + 4*u)*(-2*u + 4*u - 3*u)*(3*u**2 + 21*u**2 - 8*u**2).\nAnswer: -53*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7490 and 851185?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 - 17*j + 10. Let c be n(-14). Let a be (15\/(-4))\/(27\/c). Suppose 3*h - a = -h. Put 1, -4, h in ascending order.\nAnswer: -4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/6 and -67\/23664.\nAnswer: 23664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -143, -3, -7, -4.\nAnswer: -143, -7, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 3*r - 4. Let o be u(-3). Let a = 0 - o. Let k(c) = -3*c**3 - c**2 + 1. Let z be k(-1). Solve z*n = a + 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10940\/160 + 1 + (-22)\/16. Let o = z + -4. Calculate the greatest common divisor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cggg. Give prob of sequence cggg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 55 = 17. Is 2 a factor of (z\/16)\/((-3)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513.7 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170 - -183. Solve t = -c + 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {g: 4, e: 7}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -12) + (61 - (-4 - (-5 + -3)))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**3 + c**2 - 31*c - 55. Let t be a(-2). Let q(j) = -10*j - 111. What is q(t)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*f**3*j**3 + 2*f**3 + 3*f**2*j**3 + 2*f*j**3 + 180*f*j**2 wrt f.\nAnswer: 186*f*j**3 + 12*f + 6*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 45\/2. Calculate the common denominator of b and ((1722\/(-1568))\/(-41))\/((-1)\/74).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 5:16 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 92*i + 192*i + 1420 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from ppuup?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*q = -64, 5*t - t = 3*q - 124. Let o be 3\/(24\/t)*4. List the prime factors of 1\/(-2) - 427\/o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/2111067 and 29\/904743?\nAnswer: 6333201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7*s**2 - 2*s. Let a(w) = -90*w**2 - 27*w. Calculate 2*a(r) - 27*t(r).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 509920984?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 5*h - 6. Let t be q(6). Let g be (8\/(-42))\/(8\/12). Is g at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/80 and 71\/4066104?\nAnswer: 40661040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/112 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -2 + 26 + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c - -38?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5558353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 63\/8 - 3\/(-24). Suppose -d = -2*k, -3*m + 4*m - k = 54696. What is m rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -7) + 2 + 6\/(-2). Solve w = 2*l + 2, l = -0 - t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6)\/f)\/f)**(-43) assuming f is positive.\nAnswer: f**344","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -328 from -72648.\nAnswer: -72320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10504)\/4368 + 2\/28?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1944*x - 274*x - 198*x as w*x + m and give w.\nAnswer: 1472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/11 + 96*x**2\/11 - 98*x\/11.\nAnswer: 2*x*(x - 1)*(x + 49)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - q + 1. Let c(d) = 17*d**2 - 86*d + 281. Let v(r) = c(r) - 6*h(r). Suppose v(m) = 0. Calculate m.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-20\/7)*k)\/(k*k**(-1\/11)*k) assuming k is positive.\nAnswer: k**(-136\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120518790 = -3*h + 5*r - 120518813, 0 = -7*h + 4*r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 27*b - 13. Let y(r) = 7*r - 3. Let w(x) = -2*t(x) + 9*y(x). Let m(q) = -1. Let c(d) = 5*m(d) - w(d). What is the derivative of c(l) wrt l?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 = -5*o + 131. Let m = -4 + -45. Let f = m + o. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 656512017485 and 10.6.\nAnswer: 656512017495.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -189611\/1114 >= -171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k - 83. Let j be y(-17). What are the prime factors of 15\/(-15) - (j + -844)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11726 and 105534.\nAnswer: 105534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 17 = -27*q. Let d(w) = 59*w**q - 43*w**2 - 60*w**2. Let a(m) = 4*m. Determine d(a(v)).\nAnswer: -704*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 1:20 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 531 and 384687.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6162 divided by -42.\nAnswer: 1027\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26219, 52464, 78707, 104948, 131187?\nAnswer: 157424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2)*-2 + (sqrt(187)*-2)\/sqrt(11))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/6)\/(2\/(-15)). Suppose -17 = -a*z - 2*n, -5*z - 3*n = -13 - 5. Solve -z*x + 11 = -4*c + 2*c, -2*x = -c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 11 + 0 + -4. Let s = 80 - 80. Suppose 2*y + 5*k + 1 = s, 2*y + 10*k - 3 = 9*k. Solve t = 2*n + 5*f, -y*n = f - 0*f + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 1 - 1 + 0. Let b(x) be the third derivative of -4*x**5\/5 + x**2 + 4. Give d(b(t)).\nAnswer: -2304*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 3*i**4 + 0 + 6*i**3 - 2 - 4*i**4 - 17*i**3 in the form w*i**3 + n*i**2 + u*i**4 + z + r*i and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -15. Suppose 25 = -5*l, 4*l + 0*l + b = -h. Suppose -6*i + h*i + 12 = 0. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, r: 3, f: 4, w: 1}. Give prob of sequence fwrr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n - 36. Let w(z) = -1. Let b = 404 - 403. Calculate b*q(a) - 36*w(a).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101110101101 - 100?\nAnswer: -10101110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 55, 123, 229, 379, 579?\nAnswer: 835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 14*d - 2421. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1)\/((-415)\/(-581))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2211*y = 2322*y - 801 + 10569 for y.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -32761*y**2 + 362*y + 905. Let t(z) = 546*z**2 - 6*z - 15. Let r(j) = -3*o(j) - 181*t(j). Let p(l) = -3*l. What is r(p(v))?\nAnswer: -4887*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -683 + 2151*c**3 + 431 - 436 wrt c?\nAnswer: 6453*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 3 - (-35 - -24)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 982 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvb when three letters picked without replacement from bvvvbbv.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -8*g + 12*g, -5 = -b - g. Is 21\/29 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 136 + 0 = 0. Suppose o - g = 53. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (135\/108)\/(5\/8) - 6. Let g(p) = -11*p**3 + 5*p**2 - 6. Let t(h) = 11*h**3 - 4*h**2 + 5. Give i*g(a) - 5*t(a).\nAnswer: -11*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2131 - -2136. Suppose 0 - 1 = n. What is the remainder when (-7)\/((2 + -1)\/n) is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*q - 40*q = 0, 4*q = -2*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k. Let q(a) = 3042*a - 476 + 87 - 1015*a - 1012*a - 1013*a. Calculate q(s(b)).\nAnswer: 4*b - 389","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1115 (base 6) in base 12?\nAnswer: -19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1148 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 740, 6051, 20480, 48587, 94932, 164075?\n\"Answer: 760*i**3 - i**2 - 6*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 188 - 1688\/9. Let h = -3 - -3. Let w = -0.4 - h. Which is the closest to 0? (a) w (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/2 + 3992471*t\/2 + 1996236 = 0. What is t?\nAnswer: -1, 3992472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s - 6. Let c(o) = -o**3 - 11*o**2 - 28*o + 16. Let m be c(-6). Calculate b(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 175*l**2 + 94*l - 40. Is b(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -82, -307, -674, -1177, -1810, -2567, -3442?\n\"Answer: s**3 - 77*s**2 - s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138268544 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 4.6.\nAnswer: 27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83\/15 or 6\/5?\nAnswer: -83\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1015, 2, -9, 0, -11, -5 in increasing order.\nAnswer: -11, -9, -5, 0, 2, 1015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 4*x + 7. Let c(y) = 2*y**2 + 7*y - 13. Let i(z) = 6*c(z) + 11*f(z). Let k = 8 - 5. Suppose 0 = k*p + 4 - 16. What is i(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*m**2 - 25*m**2 + m + 3*m**4 - 26*m**2 + 3*m**3 - 2*m**4 to the form j*m**3 + l*m**4 + h + p*m**2 + k*m and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 7:08 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/54 and -11\/2156787?\nAnswer: 4313574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -36. Factor 1\/3*u**2 - 1\/3*u + d.\nAnswer: u*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3196667765?\nAnswer: 5, 23, 31, 896681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Let p = -5346 + 48356\/9. Let u = p - 9904\/369. Do g and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + (61 - 55).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 16*l - 20. Let z be s(2). Solve 2*v + 5*q = -0*q - 20, -3*q = z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b**4\/5 + 3548*b**3\/5 - 145788*b**2\/5 + 1907668*b\/5 + 557032\/5 = 0. Calculate b.\nAnswer: -2\/7, 29, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/16 and ((-2)\/128)\/(1\/(0 - 186)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1573, -68924, 4 in increasing order.\nAnswer: -68924, -1573, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11584 is divided by 53?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-1 - -7 - (1 + -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(175) + sqrt(7) + sqrt(7) + -2)*-5.\nAnswer: -70*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 10*j**3 + 9*j**2 + 3*j + 7. Let y(t) = t**3 + t**2 + t + 5. Give w(z) - 2*y(z).\nAnswer: 8*z**3 + 7*z**2 + z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 174*r - 22. Let v be t(14). Suppose 5*d - 3*m - v = 0, d - m - 204 = 280. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/8, 11, 228\/13?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**4\/6 - 3*b**2\/2 - 2*b. Let l(r) = 4*r**2 - 5. Let a(y) = 3*l(y) - 5*v(y). Let j(u) = 6*u**2. Determine a(j(n)).\nAnswer: 72*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) + sqrt(25))*-6)\/(sqrt(30)\/(sqrt(96) + sqrt(6)) - sqrt(5)).\nAnswer: 45*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -547.2, -18\/13, -3, 0.4, 17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b = -2. Suppose 6*z + 15 = z, 5*r - b*z - 216 = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 14820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microsecond in nanoseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3191431?\nAnswer: 149, 21419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -898*r + 12 = -894*r. Find y, given that -8\/11 - 2\/11*y**r - 12\/11*y**2 - 18\/11*y = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40570 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 143.62103 or -2?\nAnswer: 143.62103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - 1984*s**3 - 3937*s**3 + 3*s**2.\nAnswer: -5921*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-288)*-3*3\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 5*g)*(9 + 19 - 15)*(-1 + 1 - 1) as n*g + f and give n.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*m + 92*m = -209 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457276487?\nAnswer: 457276487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**4\/24 + a**3\/3 + a**2. Let m be q(-4). Is m smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (5 + -10 - -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 384\/2267 or 1?\nAnswer: 384\/2267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680603 is divided by 3659.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*-1*(0 - (-1 + 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 21. Let x = -9 - o. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.007 - -0.203. Let z = -2.21 + u. Which is the closest to -0.1? (a) -3\/2 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21, 35, 121, 231, 359?\n\"Answer: -g**3 + 21*g**2 - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -222064*z**2 + 3*z + 55398*z**2 + 3 - 1 - 8. Let q = 16 + -22. Let c be i(q). Round c to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1060 - 89?\nAnswer: -1119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -151*s + 174*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1198105kg?\nAnswer: 119810.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 10:53 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6970 - -8820. What is the highest common factor of l and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49159 and 436.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -498199, -1992838, -4483919, -7971454, -12455455, -17935934, -24412903?\nAnswer: -31886374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)*-2 + (sqrt(11) - (sqrt(11) + sqrt(22)\/sqrt(2))*4).\nAnswer: -13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/18536 and -69\/1324?\nAnswer: 18536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36289 - 36298. Put 4, 0, w, 51 in ascending order.\nAnswer: w, 0, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/15)*q**(-1\/2))\/((q*q*q**(2\/3)*q)\/q*(q*(q\/(q\/q**12))\/q*q*q)\/q*q) assuming q is positive.\nAnswer: q**(-481\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.121? (a) -101 (b) 23.47 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 810.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + 11*g**2 + 4*g - 12. Give y(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/17)*a**19\/a*(a*a**(4\/11))**27 assuming a is positive.\nAnswer: a**(10273\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4334 + 52281511?\nAnswer: 52277177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 18*y**2 + 17*y + 306. Let q be t(-18). Let d(p) = p**2 + 4*p - 2. Let a be d(-6). Solve 2*r - a = -q*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1560, -1563, -1566, -1569, -1572?\nAnswer: -1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3 = 11. Suppose -4*b + 3*b = 3*l - 6, 3*b = l - 12. Factor 2*m**l - g*m**3 - 2*m**2 + 5*m - m.\nAnswer: -2*m*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12415 and 1274.\nAnswer: 1216670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-480)\/(-18) + -20)\/(61\/732)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110200222 - 2?\nAnswer: 110200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 116299069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13c98 - 12?\nAnswer: -13caa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14680 + -14672.199. Let b = -0.421 + v. Round b to one decimal place.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*i. Let l(c) = 4*c - 5. Let v be l(10). Let h = v - 37. Which is bigger: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-3) - (4008\/(-9) + 1).\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 51 + (-2 - 10) + 8.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*o**4 + 2*o**3 - 2*o**3)*(2*o - 4*o - 10*o)*(137 + 14 - 235).\nAnswer: 12096*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fggf when four letters picked without replacement from {g: 6, f: 2, i: 11}?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20831 - 1749805\/84. Is a >= -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263, 215, 169, 125, 83?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 55693400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t + 4. Let d be s(5). Let y be (16\/d)\/((-2)\/(-21)). Let i be ((-2)\/3)\/(4\/(-18)). Solve 0 = o + i - y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10452970 divided by 2090594\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 53, -0.2, -3 in decreasing order.\nAnswer: 53, 1\/6, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b4 - -4?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 2123*s - 2131*s. Solve s = -y - 5*u - 8, 2*u = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -698 - -630. Put -0.4, -5, n in decreasing order.\nAnswer: -0.4, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94 or -86?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2740 and 2240635?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-52)\/160*4).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - q + 34 + 4, 4*s - 38 = 5*q. Let c(u) = u**3 + 2*u**2 + 2. Let k be c(-2). Differentiate -3*x**3 - k*x**4 + s + 3*x**3 - 11 wrt x.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 10:37 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9996 and 179928.\nAnswer: 179928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g + 44 - 5*g**2 - 51 + 4*g**2 - 9*g. Give u(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/(-86))\/(7 - (-43)\/(-2))?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-60))\/((-6)\/(-40)*-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1777042 - -2854331. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(3) + (sqrt(3) - ((sqrt(48) - sqrt(3)) + 0)) + 1))**2.\nAnswer: -18*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32641 - 489 = -17*r + 138740. What are the prime factors of r?\nAnswer: 2, 3, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**4 - 4477751*h**2 - 4 - 2*h**4 + 479*h + 4477751*h**2 to the form t*h + x*h**3 + f*h**2 + g*h**4 + r and give t.\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113.8 - 95. Let s = -39 + 20. Let m = s + j. Are m and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.1255118 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628578865 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 9656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 + 9*v - 5. Let r(s) = -8*s**2 - 18*s + 8. Let j(z) = 5*b(z) + 2*r(z). Determine j(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 24 - 20. Let j(c) = -6*c - 9. Let n be j(q). What is the third derivative of -168*w**n - 4*w**4 + 12*w**2 + 168*w**3 wrt w?\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g + 12*g + 4*g**2 - 6*g - 2. Let s be a(6). Is (-1)\/2 + s\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105cd (base 15) to base 10\nAnswer: 51943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 0*q + 5*u + 23, 3*q - u + 9 = 0. Let z be ((-24)\/32*q)\/(3\/2). Which is the biggest value? (a) z (b) -0.2 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-95 - -94) + 0 + -1 - -50) + -8.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*u + 2. Let q = 0.6 + 2.4. Which is the second biggest value? (a) u (b) q (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (374 - 48*f - 374)*(0*f**3 + 3*f**3 - 4*f**3) - 2*f**4 - 1 + 1 + (-1 - 2*f + 1)*(-11*f**3 + 20*f**3 - f**3).\nAnswer: 30*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5917896 divided by -36?\nAnswer: 164386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3 + -8 + (-2 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/162*(-8850)\/(-3835).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 6)*(3*g - 3*g + 2*g) - 3*g + 3*g - 2*g + (-5 + 4 + 3)*(-g - 2 + 2) + 0*g + 0*g + g + 3*g + 0*g - 2*g - 51*g + 34*g + 43*g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-84)*4 - (-57)\/21. Let x(p) = 0*p - 3*p**3 - p + 5*p**o - 24*p**3. Give x(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356284997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.6156717 - -4.616. What is l rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (-13 - ((9 - 22) + 2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-21)*18\/(-3). Suppose -2 = -c + w. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = -20*k + 23*k. List the prime factors of k.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide (9 + -7 - 0) + 17325 + -18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(10 + (-2 - 3)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -13*r**2 + 4*r + 2. Let b(x) = 16*x**2 + 39 + 104*x - 263*x**2 - 26*x. Let m(o) = 2*b(o) - 39*q(o). Let i(p) = -10*p**2. Give i(m(t)).\nAnswer: -1690*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 476 - 91 = 0. Suppose 42 = 11*c - 8*c. What is the remainder when o is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 12*n**2 - 12*n + 18. Suppose a = g + 10, -5*a - 5*g = -0*a - 30. Let q = -21 + a. Let b be m(q). Let h(x) = x**2 - 7*x + 7. Give h(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -913 by 3.\nAnswer: -913\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -5 in decreasing order.\nAnswer: 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/3 of a decade?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/2 (b) -6.62 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 3*i + 4. Let t be j(3). Suppose -u = t*u. Suppose 0 = -4*y + 16, 0 = -3*q - u*q + 3*y + 78. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*n + 36, -3*n = 5*p - 10*p + 109. Suppose 3*l = 2*j - p, l + 9 = -4*j - 4*l. Let r be 0\/(j*(-4)\/8). Solve r = -2*q + q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 817313 divided by 603\nAnswer: 817313\/603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6345828*g**3 + 148654*g**2 - 17*g + 2 wrt g?\nAnswer: -38074968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25168 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*q + 3*k, 0 = -0*q + 3*q - 3*k + 3. Solve q = i - 0*x + 3*x + 7, 9 = -i - 5*x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 7*m = -9. Suppose 0 = -4*h - 1 + 21. Suppose h*f = m*f - 68. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563740341?\nAnswer: 3, 137, 269, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 4 + (35 - 9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86138283 is divided by 2146.\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/((q**(11\/4)*q)\/q*q)*q\/(q\/(q*((q*q\/q**(-1\/15)*q)\/q)\/q)*q) assuming q is positive.\nAnswer: q**(-101\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 1:25 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -967 + -9.1.\nAnswer: -976.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**3*t**4 - 16993116*j**3*t + 1512184*j**3 - 2*j**2 - j - 1 wrt t?\nAnswer: 4*j**3*t**3 - 16993116*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -20 - (41 - (-26 + 20)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 6*y + 11. Let x be h(-8). Let j = 9.405 - 1.383. Let z = j - 0.022. What is the third smallest value in z, x, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(0 + 0 + 2)*(62*w - 132*w - 266*w).\nAnswer: -672*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**3 - 7*h**2 + 23*h - 32. Let y be s(8). Let t(m) = -5*m - y + 2258 + 4*m. Determine t(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2))\/(y*y**16)*(y*(y\/((y*y**(3\/8)*y*y)\/y*y))\/y*y)\/y*y*y**2*y*y)**20 assuming y is positive.\nAnswer: y**(-455\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 26 - ((-72 - -33) + 42)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -292*a**3 + 1871*a**2 - 133540*a + 2.\nAnswer: -1752*a + 3742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*v - 19 = 0, 93*g + 193 = 135*g + 5*v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 8, 0 = -5*u - 2*d + d + 234. Let x = 213 + -98. What is the greatest common factor of x and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1030 + -1?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 2*k**2 - 2*k + 2. Let l be p(1). Calculate the highest common factor of l and 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -29, -19, 9, 61, 143, 261, 421?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -3*t + 43 - 19, -c + 47 = t - 6*c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44.84 + -18.89. Round r to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 2, 3\/2, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155627 rounded to the nearest one thousand?\nAnswer: 156000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 251340*v**3*x**3 - 59974*v**2 - 3*v*x**3 + 2 wrt v.\nAnswer: 1508040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/11*(-3 + 60\/3). Let i(z) = -79*z + 246. Is i(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83827 (base 12) in base 3?\nAnswer: -22202021211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9\/10 of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*r - 44 - 542 + 68 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 722987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 32 = 5*f, 10*f + 2*y - 14 = 8*f. Let k(u) = 4*u**2 - 14*u - 4. What is k(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-322)\/(-92)*(60\/(-7))\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7509)\/(-2503)*(-2)\/(-24)*352\/(-9).\nAnswer: -88\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 619169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h - 21. Let t be r(9). Let a = 12 - t. What are the prime factors of (a - -3 - -16) + 3?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 5\/4 (c) -30 (d) 1 (e) -26 (f) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + z**2. Let b be w(2). Suppose 0 = -2*a + 3*a + 5*p + 10, -b = 4*p. What is the greatest common divisor of 40 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 519 - 747. Let f be 6*(32\/d)\/(-8). What is the third smallest value in f, 1\/12, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + 17. Let j be k(7). Let q(u) = -11*u**2 - 7*u**2 - u**j - 5*u - 8*u**2 + 32*u**2 + 4. Determine q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 7 + 3, 2 = 3*i - v. Let q(f) = -2*f**2 + 6. Determine q(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 8*b**3 - 8*b**2 + 87*b - 38. Is g(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41.2 - 41. Which is the second smallest value? (a) 0.6 (b) -0.4 (c) -0.2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 919*q**2*r + 4126*q**2 + 3*q*r + 2*r - 11472 wrt q.\nAnswer: 1838*r + 8252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/15 + 24\/(-30). Suppose r = 5*k - 4*a - a + 5, 2 = -2*k + 4*a. Let f(t) = 13*t**3 + 2*t**2 - 1. Determine f(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -9*s**2 + 0 + 0*s**6 - 1\/105*s**7 + 0*s**5 + 0*s - 1\/24*s**4 + 0*s**3. What is the second derivative of j(c) wrt c?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.33, 0.4, 15\/11.\nAnswer: -2\/5, 0.33, 0.4, 15\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -12. Suppose v + 2 = 2*o. Suppose 2*b - o - 5 = 0. Solve 0 = b*l - 3*l + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -814776771 rounded to the nearest 1000000?\nAnswer: -815000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {a: 3, v: 4, t: 5, y: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 177144 and 16?\nAnswer: 177128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 2*o**2 - 3*o + 4. Let x(v) = -3*v - 4*v**3 + 6*v + 1 - v**2 - 2*v. Let j(f) = f**2 + 10*f + 8. Let h be j(-9). Let n be x(h). Calculate p(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11154.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*y + 185 - 119 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 4*c + 27 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/2)\/((-2)\/(-16)). Suppose 3*q - q + 2*m + 32 = 0, -42 = 3*q - 3*m. Let w be 1*4\/(-5)*q. Calculate the highest common factor of i and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*c + 10, h - 3*c - 11 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**3\/3 - 82. Let y(x) = -30*x + 5. Calculate y(u(k)).\nAnswer: 30*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17\/24 - 3\/8. Which is the smallest value? (a) -2\/11 (b) 2\/13 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.79 - 2.9. Let x = -0.1099936 - g. What is x rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -1\/3 (c) 2\/11 (d) -7 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d - 1. Let t(j) = -5*j - 2. Let q(w) = -w**3 - 2*w**2 + 4*w. Let n be q(-3). Suppose 8*g - 2*g - 12 = 0. Calculate g*t(x) + n*m(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 346\/45 + -44\/5. Are n and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 - -76.1. Let d = -3.1000001 + g. Round d to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2571 a factor of 42526911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 13*g + 1. Let n be y(-13). Let i be (-3)\/(-15) - (4\/(-5) - n). Let f(x) = -12*x**2 - 14*x**i + 24*x**2. Let c(m) = 24*m**2. Give c(f(w)).\nAnswer: 96*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -0.4, 0.4, -24, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37395083, -37395079, -37395075, -37395071?\nAnswer: -37395067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 5\/3*m**3 + 0*m**2 + 2\/5*m**5 + 0*m + 0*m**4 - 3. Find the third derivative of y(n) wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 65\/92 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h = 15*h + 26*h - 250 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4599 - 3*d**2 + 561 - 252*d - 1254 = 0. Calculate d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6041 less than 3?\nAnswer: -6038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5*k - 1 = -2, -61*s + 622 = k + 137 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 7:13 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31536 and 2112?\nAnswer: 1387584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4787 = 7*s - 5*s, 0 = -5*s - 5*v + 11965. What are the prime factors of s?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1291 - 1287. Which is bigger: -59 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 178 - 123. Suppose 13*p - 14*p = -s. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3349661 * -151\nAnswer: -505798811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 414\/(-7)*(-10 - -3). Let s = c + -412. Calculate the greatest common factor of 9 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 10) to base 3.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.4893 and 0.11?\nAnswer: 0.273823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, v: 12}. Give prob of sequence va.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -946, -4086, -9208, -16306, -25374, -36406, -49396, -64338?\n\"Answer: c**3 - 997*c**2 - 156*c + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1558*x = 1578*x + 20 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-288)\/9)\/(-8) + -12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93512 is divided by 1482.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (147 - 152) + (-1725)\/(-429) + 24\/66?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 12. Find the common denominator of (6\/9)\/(d\/(-20)) and -51\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9\/55 - 393\/385. Are c and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (0 - -7) + 1 - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 + -0.2. Let q = 55\/82 + -7\/41. Which is the nearest to -1? (a) 8 (b) h (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 33140100?\nAnswer: 33140100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308235.\nAnswer: 3, 5, 20549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746123249.\nAnswer: 509, 1465861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01419332 rounded to 6 decimal places?\nAnswer: 0.014193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-5)\/3*59346\/(-315)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-18) + (-85)\/(-6). Suppose -5*h + v = -1. What is the derivative of -p + 5 + 0*p - h*p wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -22*f**2 + 0*f + f + 24*f**2. Let m = 0 - -4. Let z(o) = -o**2. Let c(w) = m*i(w) + 10*z(w). Let c(k) = 0. What is k?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110043 (base 5) in base 10?\nAnswer: 3773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3607657450 to the nearest integer?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -6*g**3 + 8319315*g**2\/2 - 5199564*g + 2079825\/2 = 0.\nAnswer: 1\/4, 1, 693275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 = 4*x + 8, -x - 5 = g. Suppose 0 = 2*w - 10 - 0, 2*s + 4*w - 28 = x. Put -1, s, -3 in decreasing order.\nAnswer: s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-8 - -11 - (10 + -2)) + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/21*((-3)\/(-9))\/((-35)\/(-2520)*-3).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3126*b**2 + 21*b - 138. Is n(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2 + 4*a - 18. Let k be p(6). Let z = -29 - k. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 67*f**3 + 2*f**2 - 65*f + 129. What is the least common multiple of 1 and r(2)?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27090851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -v + 9. Let z(m) = 4. Let t(u) = u - 5. Let i(q) = v*z(q) + 3*t(q). What is i(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 10:07 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 457*g**5 - 2*g**3*y - 4*g**2 + 8*g*y - g - 6*y wrt g?\nAnswer: 27420*g**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 73\/2, -267, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 356*c**2 + 1331. Let y(n) = 352*n**2 + 1332. Let h(d) = 5*u(d) - 4*y(d). Differentiate h(w) wrt w.\nAnswer: 744*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5))**(-15)*(u*u*u**(-1\/4)*u*u)\/(u**(-1\/19)\/u) assuming u is positive.\nAnswer: u**(821\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*u - 2*u = -2, 2*n - 5*u - 10 = 0. Suppose q + n = 4. Solve x = f + q, -4*x + 8 = f - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.9 less than -137954?\nAnswer: -137941.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 25*m - 35. Let c = 883 - 871. Is k(c) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1757384888?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4542 + -4496 + 41 + 0?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000010000001001110 + 1101100010?\nAnswer: 110000010001110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*f - 53*f = 5*p + 39, -4*p - 19 + 7 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 + 21*z**2 - 149*z - 9. Calculate l(7).\nAnswer: 663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419918589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 0 - 2 + r - 1. Let q = -542 - -542. Let x be (7\/21 - 22\/(-6)) + q. What is t(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80950935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or -8047?\nAnswer: -8047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 1)\/(1\/5). Let a = -2 - z. Let u = 4 - a. Is -1\/3 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -4*o - 4. Let k = 2.10413 + -0.10413. Which is the nearest to k? (a) 4 (b) 0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b = 0. Suppose -19 = -5*p - 3*o, 3*p = -3*o - o + 7. Suppose 234 = 3*u - 5*z, p*u - 3*z = -b*u + 406. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 79*t**2 - 46*t**2 - 4*t**3 + 69*t**4 - 44*t**2 - 67*t**4 to the form y*t + g + d*t**3 + s*t**4 + i*t**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(3\/((-12)\/(-2))). Suppose 5*d - 60 = 5*w, -g*w - w = 2*d - 24. Factor 4 - 6*v + v**5 + 8*v - 8*v**3 + 8*v**4 + v**5 - d*v**2 + 4*v**5.\nAnswer: 2*(v - 1)*(v + 1)**3*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 101011010011000111?\nAnswer: -101011010011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 989*d = -987*d + 22, 28 = 4*k - 4*d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 3*n**2. Let w(h) = h**3 - 5*h**2. Suppose 0 = a + 2, 5*u - 135 - 37 = a. Let t = u + -29. Calculate t*g(b) - 3*w(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 799*x - 119. Let k(q) = 20*q - 3. Give 119*k(g) - 3*o(g).\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 38*i - 143. Let x be p(4). Suppose 0 = -19*s - x*s - 84. Put s, -0.5, 80, 5\/3 in increasing order.\nAnswer: s, -0.5, 5\/3, 80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 13*q**2 - 26*q - 10. Calculate r(-14).\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/6 and 97\/2577120.\nAnswer: 2577120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10227 by 3.\nAnswer: 3409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -29665*l**3 + 349*l**2 - 349*l - 349. Let z(o) = 341*o**3 - 4*o**2 + 4*o + 4. Give 4*p(b) + 349*z(b).\nAnswer: 349*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 3*a**2 + a - 3. Is w(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 7:30 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369 take away 6.05?\nAnswer: 1362.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = b - 21. Suppose 5*h + 4*j = b, -5*h + 2*h - 2*j + 14 = 0. Solve 0 = -0*m - h*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1083056108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18151, -72683, -163597, -290893?\nAnswer: -454571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.7 (b) -3 (c) 2 (d) 46.469\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*k**3*u - 5*k**3*v - 29*k**2 + 3*k*u*v wrt k.\nAnswer: -180*u - 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 5:33 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -86170 (base 10) to base 5\nAnswer: -10224140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 - 3 = 0. Let s be (-2 - f) + (3 - 1). What is the nearest to 0 in 3, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 828776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34006890 a multiple of 915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**4\/24 + d**3\/6 - d**2. What are the prime factors of l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 15. Let n be x(-15). Put -3, 1, n in increasing order.\nAnswer: -3, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + k - 16 = 0, 2*h - 13 - 1 = -2*k. Suppose 0 = s - 2*u + 5*u - 6, 5*u + 20 = -5*s. Let b = s + 32. Solve 0 = h*n + 15, n = r - 4*n - b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6260529 - 11290529. What is m rounded to the nearest one hundred thousand?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grn when three letters picked without replacement from {g: 2, n: 4, r: 8}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -0.0736 (b) 1\/9 (c) 0.06 (d) 2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, -1, -1\/4, 4.5?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*q - 532*q = -2*b - 199, -3*q - 3*b + 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 74*l**3 + l**2 + 12*l + 3. Let x(v) = -75*v**3 - v**2 - 12*v - 2. Let b(u) = 3*x(u) + 2*z(u). What is the second derivative of b(d) wrt d?\nAnswer: -462*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 2*p**2 - p**2)*(1 + 2*p**3 - 1) + 562*p - 562*p + 29*p**5 + (p**3 + p**3 - 3*p**3)*(-p - p**2 + p) + p**5 - p**4 + p**4.\nAnswer: 27*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4996.3 - -5168. What is m rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1234, -4993, -11256, -20017, -31270, -45009, -61228?\nAnswer: -79921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 v when two letters picked without replacement from yyyxv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104788.\nAnswer: 2, 17, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1062, -2365, -3668, -4971, -6274?\n\"Answer: -1303*m + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(175) + sqrt(175) + -3)**2 + -2*sqrt(175)*6 + -5.\nAnswer: 30*sqrt(7) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/6)\/(6\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j. Let o(l) = 64*l - 9041. What is h(o(d))?\nAnswer: -128*d + 18082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 9:18 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -69*k - 220944480 + 16*k**2 - 2*k**2 + 220944485. Determine w(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5966432 is divided by 8813?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {t: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-7))\/((-2)\/7). Let s = -6 + q. Solve -z + 5 = s, -r - 3*r + z - 25 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 37\/7 + (-4)\/14. Let c(u) = 4*u**3 - w*u**3 - 5 + u**2 - 3*u**2 + 3*u. Let d be (-474)\/869 - 38\/11. Calculate c(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*u + 2*u**2 - 125 + 125.\nAnswer: 2*u**2 + 77*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/12 and (-3 + 4 + -38)\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (-1155)\/70)*(33176\/(-2769) - -12)?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 235 = -d, 2*o - 4*d = 3*o - 71. Suppose 0 = -4*n - o - 185. Let v = n - -138. Calculate the remainder when v is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + -5 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 + 168*a**2 + 6*a + 495. Determine t(-84).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/1375*-22*165\/12?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 0*x**3 - 2*x**3 - 7*x**2 + 3*x**3 - x**2 + 3*x. Let b = -193 - -202. Is 27 a factor of d(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t - 6. Suppose -5*o = -5*m - 15, 1281*o = 4*m + 1280*o - 9. Let c(b) = -7*b + 6. What is m*c(y) + 5*k(y)?\nAnswer: 2*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8520 and 5425110?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 176*v**2. Let d be z(-1). Suppose 3*s = 7*s - d. Suppose -5*b + 264 = s. Round b to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31125 + -11.8.\nAnswer: 31113.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8597667 litres to millilitres.\nAnswer: 859.7667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 - 5*d**2 + 6 - 2*d**3 - 2 + 0 to t + i*d**3 + g*d + p*d**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*h + 1212 - 387. Let w(j) = -j**2 + 8*j - 5. Calculate the remainder when h is divided by w(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -13 + 6*s**3 - 2*s + 10 - 3*s**2 + 0*s. Let d = -7083 - -7087. Let t(q) = -7*q**3 + 4*q**2 + 3*q + 4. What is d*b(a) + 3*t(a)?\nAnswer: 3*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 3. Suppose -12 = -2*z - 4. Suppose -3*n = -n - 4*y - 16, 0 = -3*n - z*y - 6. Suppose -d + n*s + 1 = 0, 0 = -4*d - 2*s + 5*s - 6. What is f(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 352 = -478. Suppose 215*s = 227*s - 36. Suppose 0 = -s*l - 4 + o. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 + -56. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 0*s**3 + 26*s**2 + 173*s + 0 + 1\/6*s**4. Let g(x) = -3*x**2. Give g(w(t)).\nAnswer: -12*t**4 - 624*t**2 - 8112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/4572 and -29\/27.\nAnswer: 13716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*v + 3 = 67*v + l, -2*l = -2*v - 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x + 58 = -l, -64 = -4*x + 4*l. Let i = 18 - x. What are the prime factors of 172 + (16\/i - 5)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o - 3*o - 3*o - 4*o + 13 - 13 + (-2 + 0 + 0)*(0*o - 3*o + 2*o) - 4*o + 0*o + o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q + 0*q + q + (0 + 1 + 1)*(2*q - q + 4*q))*(-1 - 10 + 3) to the form t + f*q and give f.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 344338661?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, b: 12}. What is prob of picking 1 t and 3 b?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1577*h**6 - 136*h**5 + 1250*h**2 + 39*h - 11.\nAnswer: -189240*h**3 - 8160*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -829, -2, -5 in descending order.\nAnswer: -2, -5, -829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/17 (b) 2\/22711 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1690\/(-170) + (-1)\/17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 2*k**3\/3 - 39. Let g(t) = 2*t. Determine o(g(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 - -13288a9a?\nAnswer: 13289005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -201.712 and 0.01.\nAnswer: -2.01712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 v when three letters picked without replacement from vvppvhhvhhh.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 372230886513.\nAnswer: 372230886516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -11 + 57\/6 + (-6)\/(-4). Which is the nearest to 10\/3? (a) 2 (b) 0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -4\/61 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (115\/5)\/(-1) + (-2270658)\/(-98943)?\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115843123849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -72 + 0?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 40062.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a + 6*a + 3*a**2 as j*a**2 + u + s*a and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 3*l**5\/10 + l**3\/6 - l**2. Let o(m) = -m**2 + m + 13. Let z be o(4). List the prime factors of j(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*2\/(-28))\/(332\/(-30212))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3270?\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*u = -60*u - 85*u + 132*u - 1984 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, 4, -2 in descending order.\nAnswer: 4, 1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 25*u**2 - u. Let n(s) = 5*s - 11. Let t be n(2). Calculate j(t).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 6, -436.1, 6\/25?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, n: 2, u: 1, j: 2, v: 2, o: 5}. Give prob of sequence non.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 + i**2 + 7. Let y(l) = 14*l**3 + 6*l**2 - 255. Calculate -6*d(k) + y(k).\nAnswer: 2*k**3 - 297","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**3 + 41*v**2 - 38*v**2 - 3*v**2.\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 5*t**2 - t**2)*(1 - 3 + 10)*(4 + 1 + 10).\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -146*q - 1993. Is v(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-24))\/((-10)\/60)*5\/60\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -75, -129, -201, -297, -423, -585, -789?\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -31, -3, -2\/7 in ascending order.\nAnswer: -31, -4, -3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*v - 59*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 14*n + 1067. Give x(-33).\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13044 - 2?\nAnswer: 13042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4920042g?\nAnswer: 0.0004920042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 571258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 283855 and 2860.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 79. Does 22 divide -6 - 4758\/a - 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - a + 6, 5*i = 7*a - 3*a + 27 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5 = -v + 2*n, -4*v + 5*n + 1 = 0. Let f = -103 - -208. Suppose t = -v*t + f. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37093969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert c333c (base 14) to base 6.\nAnswer: 14023150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.12, -1757, -0.2?\nAnswer: -1757","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p + 4*p - 6833*p**3 + 9 + 3420*p**3 + 3415*p**3 + 0*p + 10*p**2. Calculate n(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -187944, 4, -4, -5, 2.\nAnswer: -187944, -5, -4, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748484841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 17*f**3 + 22*f**2 + 11*f + 11. Let l(o) = -6*o**3 - 7*o**2 - 4*o - 4. Give 11*l(y) + 4*v(y).\nAnswer: 2*y**3 + 11*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-2))\/((-3)\/(-4)). Suppose n + x - 12 = 0. Let i be 1210\/40 + (-2)\/8. Calculate the greatest common divisor of n and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -6 - 4. Calculate the lowest common multiple of p and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 + 806*b - 806*b. Let k(t) = 101*t**2 - t. Give k(f(r)).\nAnswer: 404*r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1206 and 95\/4603818?\nAnswer: 925367418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13205083*p**2 + 36285645 wrt p.\nAnswer: 26410166*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 386, 866, 1536, 2396, 3446, 4686?\nAnswer: 6116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 218029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*6.2.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of (20\/240 + (-62254)\/(-24))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + v - 8*v + 6*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - 219\/90)\/(2\/3) and -101\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 + 2. Let s = -1863860342\/861 - -2164762. Let q = s - -2\/123. Which is the nearest to q? (a) 5 (b) -0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148446140 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (30\/115)\/(-2)*8\/12*1\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7*c**2 - 423*c - 649. Let o(l) = -6*l - 9. What is the smallest common multiple of y(62) and o(-6)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -4, 2\/3, 0.3, 45?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/((-9)\/(-12)). Suppose -b + x + 445 = -x, g*b - x = 890. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*t**3 + t**2 - 24*t**3 - 4*t - 10*t**3.\nAnswer: -65*t**3 + t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42\/5 of a century?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -156 + 151 + 2*r**2 + 7*r**2 - r**4 - 31*r**3 - 7*r**2 in the form f*r + n*r**4 + c*r**2 + s*r**3 + l and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 31. Let t = i + -7. Determine g, given that 20 - 3*g + 2*g**4 - 9*g**t + g**4 - 14 + 3*g**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156.8785 + -229.2\nAnswer: -386.0785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31956217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1900))**2 + -2 + sqrt(76).\nAnswer: 42*sqrt(19) + 1902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 335833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000578123483 to six decimal places.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9061406, -18122810, -27184208, -36245600, -45306986, -54368366, -63429740?\n\"Answer: 3*a**2 - 9061413*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3 = -j, 24*j - 21*j + 5*h + 13 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -24*z + 9. Let n be p(-11). Let w be ((-432)\/(-126))\/(6\/n). What is the greatest common factor of w and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from komgoqml. Give prob of picking 1 o and 1 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 2*n**2 + 4*n**3 - 13*n**3 + (n + 2*n - 5*n)*(3*n**2 - 2 + 2) + 102 - 102 - 91*n**3.\nAnswer: -106*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*a + 64. Let l = 7 + -11. Let x = l - a. Calculate the greatest common divisor of 200 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2581202*y**6 - 5094328*y**2 wrt y?\nAnswer: -309744240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (243\/108)\/((-3)\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 3, -32, 0.2, 3\/26?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 294529694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 105) + (-4906 - -5130).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/6 - 14\/(-84). What is the highest common factor of 37 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j + 10 - 4 - 3*j**2 - 7. Let t(k) = -k**2 + k - 1. Let i(x) = 2*q(x) - 2*t(x). What is the second derivative of i(r) wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1371\/(-693) - -2) + 64\/(-448))\/(1\/6).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4093 - 11122 = 5*a, 4*a = -3*i + 9129. Suppose -5*s = -5*p - 15215, -3*p - i = -s - p. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + 4*(sqrt(432) + 1*sqrt(432)*-5)**2.\nAnswer: 27646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -466, -1\/3, 2\/3, 4, -133.\nAnswer: -466, -133, -1\/3, 0.2, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -11. Suppose 2*z = -d*z. Solve z = -k - 0*k + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5577 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2\/3 + 22351240*d\/3 - 31223620596100\/3.\nAnswer: -4*(d - 2793905)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 144a (base 16) to base 6\nAnswer: 40014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + 8. Let g(l) = -l**2 + 8*l - q + 63 - 8*l. Let m(d) = -3*d**2. Give g(m(k)).\nAnswer: -9*k**4 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-3 + (1 - 374)). Let w = v + -752. Find g, given that 1\/3*g + w - 1\/6*g**4 - 1\/6*g**5 + 5\/6*g**2 + 1\/2*g**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -497273 < -497259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 271208\/(-6) + (-8)\/(-6). What is n rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3))**(11\/5))**(-5\/7) assuming v is positive.\nAnswer: v**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m**3 + 286195*m**2 + 3861740*m - 2002420 = 0. Calculate m.\nAnswer: -28606, -14, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 420*d**2 - 13*d - 78. Is j(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8554 is divided by 56?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 36 + 0)*(-3*o**2 + 3*o**2 - 3*o**2)*(-2*o**2 + o**2 + 0*o**2).\nAnswer: 138*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 21*j - 342. What is the lowest common multiple of l(22) and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2 - 4 + 4*j)*(13*j**2 + 4*j**2 - 3*j**2).\nAnswer: 14*j**3 - 28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50655 and 210.\nAnswer: 709170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33811 to two decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3296612 divided by 6?\nAnswer: -1648306\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(180) + 3 + sqrt(180) + 5)**2 + -4*(-5*(sqrt(500) - (sqrt(500) + -1)))**2 + -3.\nAnswer: 96*sqrt(5) + 633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 303 and 1734?\nAnswer: 175134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z. Let o(u) = 135320*u**2. Calculate o(v(p)).\nAnswer: 541280*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -40.5. Let o = -4 + 3. What is the second biggest value in n, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -29*x**3 - x**2. Let a be m(-1). Let y = a - -45. Let l = 121 - y. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -0.4 (b) 0.5 (c) -1\/7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = -4*c, -15*c + 11*c - 3*f = 0. Sort -4, c, 90, 4 in ascending order.\nAnswer: -4, c, 4, 90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1196 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 236 divided by -59\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 220 - -2?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -226*u - 731. Give y(-5).\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-99)\/(-36))\/11 + (-2)\/8. Let x be j + -1 - (-66)\/(-6 - -7). What is the greatest common divisor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5378273352.382 - 4.\nAnswer: 5378273348.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 8, 2*l - 629 = -f + 966. Calculate the remainder when f is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/30)\/((-20)\/(-25))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 5*z - 44, 5*i + 105 = 215 - 80 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-6 - (-4 - (6 - 7)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -12 - 0. Suppose -7*o + v*o + 84 = 0. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 9699588?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/2, -6361, -1.2, -9?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 686914247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 68051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -108\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29051*s**4 + s**2 - 10*s - 136 wrt s.\nAnswer: 697224*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6\/701 - 46985\/2103. What is the common denominator of -65\/2 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**2 - 5*h + 105. Calculate f(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-28)*21\/9)\/(2\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 17 = -5*t, 2*z - t = -z - 10. Let o(v) = -2*v + v + 5 - 4. Calculate o(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 28 + 20. Which is smaller: -11 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1177027 is divided by 6598.\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4652*d**3*g**3*m - 5*d**3*g**2 + 439*d**3 + 68*d**2*g**3*m + d**2*g**2 + 113*d*g**3 - 3979*g**2*m wrt d.\nAnswer: -27912*g**3*m - 30*g**2 + 2634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five ninths of a week in minutes?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2*h - 2*h)*(-5 + 0 + 4) + 17*h + 24*h + 26*h.\nAnswer: 68*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -254 + 53. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v. Let t(i) = -19241*i**2 - 249. Determine k(t(j)).\nAnswer: -38482*j**2 - 498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 4:45 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*h - 3*h = -21, -d - 10 = -4*h. Calculate the remainder when 5 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/24 - ((-104)\/(-24) + -2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(612) + -1.\nAnswer: 3 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muvfmcov. Give prob of sequence fm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 2*g**2 - 2*g - 5. Let a be u(-2). Let p be (-2 - a) + (4\/4 - 26). Find the common denominator of -9\/10 and (-30)\/(-36)*(p\/3 - -2).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + z + 4*z)*(-z**3 - 2*z**4 + z**3) + (-4*z**4 + 0*z**4 + 2*z**4)*(0*z + 2*z - 3*z).\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 6*s = 0. What is the closest to 0.1 in -4, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -45, 4 in decreasing order.\nAnswer: 4, 3, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -355 + 40. Let b(l) = 4*l**2 - 275*l - 203. Let h be b(69). Let i = h - r. List the prime factors of i.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12360 - 12360.4. Let z = -5 - -3. Which is the fourth biggest value? (a) 1 (b) -0.3 (c) z (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-2 + (-11)\/(-5)). Which is the third smallest value? (a) -7\/4 (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 0 + 9*s - 8*s + 4. Let h(z) = 2*z - 4. Let n be h(2). Give u(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4350124 (base 8) to base 16.\nAnswer: -11d054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 12 + 29 = 4*r, -6*r = 2434*d - 2431*d - 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + 25 + -147 + -21?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5 + 126*b**4 - 3030*b**3 + 34306*b**2 - 180336*b + 353736.\nAnswer: -2*(b - 17)**3*(b - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 172*f**3 - f**2 + f + 1. Let o be h(-2). Let w = -3448 - o. Let r = 2233 - w. What is r rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -436037, -13.\nAnswer: -436037, -13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 69 and 659.\nAnswer: 45471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6 + 0 + j + 4. Suppose -5*n - 14 = -4*h + 15, 4*h = -5*n + 59. Let o be d(h). Calculate the highest common factor of 81 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -31. Suppose -2*o - 40 = -5*q, -o - 7 = -j. Suppose -7*f + 11 = -q*f. Calculate the least common multiple of f and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*r**3 + 888229*r + 18768169.\nAnswer: -27*r**2 + 888229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 - 65. Let a be (-1)\/t - (-750)\/105. Solve -5*f = -a*f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -55, -3, 1\/5?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in years?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 0*w = 0. Suppose -2*g = 2*g + 2*o - 196, -2*g + 4*o + 78 = w. What are the prime factors of g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3.12. Let l = s - 0.12. Let x = -18 + 13. What is the closest to -2 in 5, x, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4\/4 - 59691*a**3\/4 + 445958371*a**2\/2 - 8674071885*a + 8451107622 = 0.\nAnswer: 1, 38, 29826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*r - 3*j, 2*j - 16 = 5*r - 0*j. Let n be r\/10 - 17\/(-5). Suppose -n + 7 = g. Solve -g*t + t = 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 13 = 2*n + 34, -n + 3*p - 18 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwtqqwsqk. What is prob of picking 2 w?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -40. Solve 0 = -3*f - c*f - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 6*k**2 + 9*k + 47. Give b(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39282403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*h + 3*k, 7*k + 9 = 3*h + 4*k. Calculate the remainder when (h - 0) + 3731\/7 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200110122 - 20?\nAnswer: -200110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*h + 52*h + 33*h - h - 3*h + 2*h - 3 - h + 3 + h + 2*h - 5*h + (1 + 0 - 2)*(0 + 2*h + 0))*(-2 + 2 + 3).\nAnswer: 180*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/2 > -1359431.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 42. Put -5, -1, 47, g in increasing order.\nAnswer: -5, -1, g, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/402*14\/(-4). Let g = 3340\/2211 + v. What is the common denominator of 16\/((-7)\/((-49)\/10)) and g?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*n - 45 - 33. What is the third derivative of -19*w + 5*w**5 + 10*w + 6*w + w**n wrt w?\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b**2*b)))\/(b\/(b*b**8)))**(-3\/31) assuming b is positive.\nAnswer: b**(-36\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 20*s + 1155 = 0. List the prime factors of s.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 8:50 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-6)\/(-60)*(-375)\/(-50).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -32, -8, 5, 31 in increasing order.\nAnswer: -32, -8, 1, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12792 - 6389 + 24*f - 6402.\nAnswer: 24*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*400\/(-40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, 213, 332, 559, 930, 1481, 2248, 3267?\nAnswer: 4574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - 1 - 204\/108. Let t be (-93)\/93 + (-14)\/(-8). Which is the smallest value? (a) -5 (b) v (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-30)*10\/25. Which is the nearest to 0? (a) -0.4 (b) -3\/5 (c) n (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(704)*-1)**2.\nAnswer: -80*sqrt(11) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(704) + 0 + sqrt(704) + 2 - (sqrt(704)*-1 + sqrt(704) + 0)) + -4*3*((sqrt(704) + 0 - sqrt(704)) + sqrt(704)))*-2)**2*5.\nAnswer: -6400*sqrt(11) + 1408080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**7\/420 - n**6\/720 + n**5\/120 + n**4\/144 + n**2. Factor i(r).\nAnswer: -r*(r - 1)*(r + 1)*(3*r + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12\/25, 455, -27?\nAnswer: 455","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 6 = -4*h. Suppose 0*d = -4*u - 2*d + 30, h*d = 4*u - 5. Sort 3, u, 1.\nAnswer: 1, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1265 (base 10) to base 3.\nAnswer: 1201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnoo when four letters picked without replacement from {n: 2, o: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24415 at most 24414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 5:42 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 1299*w - 5261. Determine n(4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2470?\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/6099016 and -157\/28752504.\nAnswer: 201267528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 11*q + 41. Give j(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 4*s - 13. What is d(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2)\/k*k*k\/(k\/(k**4\/k)*k)*(k*k**0)**8)**(-35) assuming k is positive.\nAnswer: k**(-665\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 901408 to the power of 1\/2, to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/6 - -2)\/(4\/66). Which is bigger: -23 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 12452624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, 89, -35.\nAnswer: -35, 89, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -371828 divided by 92957.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36021?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*d**2*r**3 - 37636*d**2*r - 3*d*r**3 - 2*r**3 - 276*r**2 - 16*r - 6 wrt d?\nAnswer: -6*d*r**3 - 75272*d*r - 3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14100578869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.66 - -3.56. Let y = 0.1 + i. Which is the nearest to 0.1? (a) y (b) -0.1 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -0*s. Suppose 5 = p, x - 4*p = -s*x - 7. Calculate the remainder when 37 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -766 - 911 = -31*k - 251. Calculate the remainder when 1325 is divided by k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w - 53. What is g(-31)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in hours?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 477 + 37 = 0. Suppose -t + u + 169 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1068 - -3122. What are the prime factors of n?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 32. Let j = o - 4. Let r = 0 + j. Solve -6*w + r*w - 16 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11789410*z**3 - z - 11789417*z**3 - 3*z + 4*z.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8.6 and 859799.\nAnswer: 859807.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175.37 + -176. Let z = u - -1.03. Sort -5, 0.55, z.\nAnswer: -5, z, 0.55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*a**2 + 3*a**3 - a - 24 + 73*a**2 + 9*a**3 - 147*a**2 - 4*a**3 + 2*a**4 in the form o + v*a**4 + y*a**2 + s*a + c*a**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1\/8 (b) -0.5 (c) -0.3 (d) 3698 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-355 - -395) + 4 + 1 + 1 - 11?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/30 + ((-2585)\/218550 - (-1)\/(-10))?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*k**2 - 18 + 12 + 4 + 91*k - 91*k.\nAnswer: 59*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23326624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 28*l**2 - 42*l - 132. Let m be d(7). Calculate the greatest common divisor of m and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - 240?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Let g = -6 - x. Let i = -130 + 130. What is the smallest value in g, i, -5\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 4*h + 8. Solve 5*d - 9 = -h*n, 8*d - 4*d - 12 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j - 2*j - 3*j + 2*j. Let v be 0 + 0 - (-1 - -3). What is q(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 5*g - 4. Let j be n(3). Suppose -j*p + 3*p = 0. Let o be 1\/4 - (-70)\/8. Solve -4*h + f = -p*h + o, 4*f = 4*h + 24 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.53 - -2.885. Let w = -0.721 + r. What is w rounded to 2 decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 5*u**2 + 6*u - 4. Calculate n(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*sqrt(1053) + (2*(sqrt(13) + -4))**2 - -3*(-3 + sqrt(78)\/(sqrt(6) - sqrt(6)*-2))).\nAnswer: -214 + 134*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/4 and (-2)\/(-7) + (-481)\/140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*t - 75*t - 33*t + 151*t.\nAnswer: -57*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 49, 95, 141, 187, 233, 279?\n\"Answer: 46*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -2)*2 + -23. Let t be (-12)\/(-7) - 6\/h. Suppose -4*y = -5*u - 3*y - 17, t*u - 4 = -5*y. Is u greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 > 73\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -552*l**2 + 395*l wrt l?\nAnswer: -1104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279 divided by -15.\nAnswer: -93\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from booooooooobobo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 5 + 11 + 19*x**2 + 2*x**3 + 2*x + 2 - 4*x**3 in the form o*x**3 + s*x + g*x**2 + b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 2*o**2 + o + 1. Let f(b) = -25*b**3 + 8*b**2 + 4*b + 37. Let y(j) = -f(j) + 4*r(j). Differentiate y(s) with respect to s.\nAnswer: 87*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -3\/5, -0.5, -1\/3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r**3 - r**2 + 11*r - 666. What is the ten thousands digit of q(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 568b (base 12) to base 3\nAnswer: 111011222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-5)\/s))**23*(s*s\/(s\/s**(11\/2)*s)*s)**(-5\/6) assuming s is positive.\nAnswer: s**(1867\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -p - 2, 3*c + 4 = -2. Let w(i) = i**3 + 11*i**2 + 9*i - 1. Let y be w(p). Solve 3*v + y = -5*b, 4*v + 6*b - b = -7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Suppose u = -q*u. Suppose 3*s = 3*b - 0*b - 6, 7 = 2*b - 5*s. Sort b, u, 4 in ascending order.\nAnswer: u, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o. Let i(q) = q**3 - 14*q**2 + 11*q + 28. Let t be i(13). Let y(r) be the first derivative of 0*r**t + 0*r - 2\/3*r**3 + 7. Determine b(y(f)).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express h**4 + 1 - 5*h - 3*h + 5*h as g*h + q + w*h**3 + s*h**2 + z*h**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.78 - 0.88. Sort 2, z, -0.4 in ascending order.\nAnswer: -0.4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.29 - -0.3. Let y = 2.96 + -3. Let r = y + d. Round r to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1585 is divided by 73.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1234659?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 438015?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + -4. Let z = 6 + q. Let j = -1.7 - -0.7. Which is the smallest value? (a) z (b) -3\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109 or -105?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 4.474.\nAnswer: 3.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 7 - 127. Calculate the greatest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-2))\/(-2))\/((22\/(-24))\/11).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*-782\nAnswer: -2346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2522.\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98700, 98657, 98614, 98571, 98528, 98485?\nAnswer: 98442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*c, -3*t - c + 2*c = -840027. Suppose -2*o + 2*h = -o + t, -5 = -h. Round o to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61584 - -61584. Let o = 0 + 3. What is the closest to 0.2 in -2, o, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 4*o - 3. Let h be x(7). Let v be (-22)\/(-3)*27\/6. Let c = v - h. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 - 2*u**2 + 5*u + 2. Let d be 5 + 0 + 4\/(-4). What is the remainder when x(d) is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 11 = -k, 2554*k - 20 = 2559*k + 5*d. Let v(x) = x**2 - x. Let y(i) = -6*i**2 - 3*i - 1. Determine k*y(a) - 3*v(a).\nAnswer: -9*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + 2*c**3 - 2*c**3 - c**3 + 0*c**3 + 0*c**3 - 5*c**3 + c**3 + 3*c**3 + (3*c**2 - 5*c**2 + 4*c**2)*(-2*c - 1 + 1) + 3 + 8*c**3 - 3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*d**3 - 114*d**3 + 1 + 325*d**3 - 106*d**3 + 3*d**2 - 1015*d - 2*d**2 as n*d**3 + y*d + c + b*d**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149675185, 149675177, 149675155, 149675113, 149675045, 149674945, 149674807, 149674625?\nAnswer: 149674393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f - 12*f - 15*f - 37 + 37.\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 52 = 2*d, -3*a - d - 1 + 50 = 0. Determine z, given that 3*z - 135\/4*z**5 - 36*z**4 + a*z**2 + 0 + 39\/4*z**3 = 0.\nAnswer: -1, -2\/5, -1\/3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-175)\/21)\/(100\/(-1080)*3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 335.4249 to 0 decimal places.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -162.1 and 2608.\nAnswer: -422756.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 924 and 756.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43796486852 from 0.9.\nAnswer: -43796486851.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23877?\nAnswer: 3, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 1\/6 (c) 32 (d) -2\/11 (e) -1\/4 (f) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -13*u**2\/2 + 15*u - 10. Let i(k) = -7*k + 8. Determine 11*i(l) - 6*w(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 6*f - 52. Let a be d(-10). Let t = 28 + a. What is the lowest common multiple of t and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(5*t**3 - 6*t**3 - t**3) + (-t**2 - 1 + 1)*(2*t - 4*t + 3*t) + (5*t - t - 3*t)*(-4*t**2 + 0*t**2 + 2*t**2).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -107*g**4*t + 3*g**4 + g*t + 1619*t wrt g?\nAnswer: -428*g**3*t + 12*g**3 + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - -1263?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34665232, 34665236, 34665242, 34665250, 34665260, 34665272?\n\"Answer: d**2 + d + 34665230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 - 8*x - x**2 - 2*x**2 + 3 - x**2. Let a be n(-8). Suppose 3*g + 9 + 3 = 0, -2*c - 6 = 2*g. Solve -a - c = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, v: 3, r: 2, e: 5}. Give prob of sequence dvrr.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 10100101?\nAnswer: -10101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -55. Is 3422\/(f + (-6)\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 18 = -3*c, 144*t - 12 = -2*c + 139*t for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/((-3)\/10575*-3). Round g to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 7083468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w + 5*w + 4 - 4*w.\nAnswer: -6*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -153.886 - 1.214. Let f = 154.379 + r. Let j = f + 0.62. What is j rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72864271.52459 - 72860276.5. Let n = h - 3995. Let a = n + -0.0283. What is a rounded to four dps?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 r when four letters picked without replacement from {r: 10, q: 2, f: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*h**4 - 2*h**2 + 2*h - 5 wrt h.\nAnswer: -252*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**4*n - 145*h**4 + h*n + 6*h - 4*n wrt h.\nAnswer: 12*h**2*n - 1740*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83 and 21787583.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2367 + 2348. Let i(j) = -3*j**2 - 58*j - 27. Calculate i(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u - 6. Let f be -1*(0\/(-2) + 1). Let y(a) = a + 1. Determine f*p(v) - 6*y(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/7 (b) 3\/5 (c) 2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*w**2 + 12*w + 71*w**2 + 37*w**2 - 12*w.\nAnswer: 52*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1481 is divided by 83.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 3*s - 2*s**3 - 11 to the form v*s**2 + t*s**3 + f*s + b and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -199 and 747511.419.\nAnswer: 747312.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z + 34. Let o be d(-15). Let f(k) = k - 1. Let q(x) = 6*x - 4. Let v(j) = o*f(j) - q(j). Let b(i) = 2*i. Calculate v(b(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -1\/477, 3, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 - 11*b - 11. Let r(q) = -q**3 - 5*q - 5. What is 7*r(u) - 3*s(u)?\nAnswer: -u**3 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 318113\/27 + -11780. Let i = 17501 - 9223002\/527. Let d = -44345\/9486 - i. Find the common denominator of b and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/15183 and 139\/36?\nAnswer: 60732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x + 912. Let r(w) = 4*w - 915. Determine 3*d(v) + 2*r(v).\nAnswer: -v + 906","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 28.5\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((27\/(-3))\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from frrfdeqredffrkk?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 103 = 155 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -59*i**2 - 36519*i + 1153. Determine v(-619).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20730571 + -22?\nAnswer: 20730547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(15)\/(sqrt(108) + sqrt(12)).\nAnswer: -2 + sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1855322, -3710619, -5565916, -7421213, -9276510, -11131807?\nAnswer: -12987104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 - 21. What is the remainder when 79 is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 2*s - 1. Let u be z(3). Suppose 18 + u = 4*g. Let i(o) = -3*o + 127. Calculate the remainder when i(38) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 + 3*x**3 - x - 2*x)*(17 + 109 + 38).\nAnswer: -164*x**3 - 492*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m = 10. Suppose -5759 = m*q + 1691. Round q to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/2*(-169)\/(-39) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 - (64 + (-70 - -56)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*1384.\nAnswer: 29064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*p**3 - 3315*p + 3315*p.\nAnswer: -408*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 + 4*v - 6. Let n(m) = m**3 - 4*m**2 - m - 3. Let x be n(4). Is i(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92 (base 11) to base 15\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2745*a - 98. Let r(v) = -v - 33. Calculate -3*r(x) + y(x).\nAnswer: 2748*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122784?\nAnswer: 2, 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8223*f**2*s**2 + 26*f**2*s*t**2 + f**2*s + f*s*t - 2*f + 532*s**2 - 7*s*t**2 - 15 wrt f.\nAnswer: -16446*s**2 + 52*s*t**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 3 - 12. What are the prime factors of (-2 - x\/(-3)) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605858704?\nAnswer: 2, 11, 3442379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1624 - 4263*x - 1624 + 7971*x + 5368*x to g + h*x and give h.\nAnswer: 9076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-290)\/(-58)*1*-1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52 - 95 - 59)*(-1 + 2*p + 3 + 0) to r + t*p and give r.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3009, -3011, -3013, -3015, -3017?\nAnswer: -3019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66312 and 1697096?\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -27*v**2 + 58*v**2 + 12 - 24*v**2 - 5. Let d(g) be the first derivative of g**3 + 4*g - 5. Give -7*d(l) + 4*h(l).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*o - 12937 + 11117 = 0 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 591\/9*1 - (-14 + 15). Let o = -3407\/48 + f. What is the common denominator of o and -53\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 34 - -17) + 22\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648 = -4*y + 5*y + 5*y. What is the greatest common divisor of 3132 and y?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - 29*v**3 + 14*v**3 + 17*v**3 + v**3 + 0 + 0 + (2*v**2 + 0*v**2 - 4*v**2)*(2*v + 0 + 0) to the form j*v**3 + z*v + t + q*v**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2156) - sqrt(44)))\/sqrt(4) + (sqrt(1100)*-1 + 4 + sqrt(55)\/sqrt(5))**2.\nAnswer: -54*sqrt(11) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -9 - (-21 + 70 + -26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3275 - 5402 + 6*b + 2*b.\nAnswer: 8*b - 8677","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*d + 140, -4*d + 8*z - 3*z + 107 = 0. Suppose -47 = -5*o + d. Let l be 32*1*(4 + -3). Calculate the highest common factor of l and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 15*i**2 - 12*i - 31. Calculate x(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4469 = -10*x + 4449. Suppose 3 + 0 = u. Suppose 4*s + j = 22 - 5, -16 = -5*s - u*j. Sort -7, s, 3, x in descending order.\nAnswer: s, 3, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-6) - 0)\/((-1)\/40). Let b = -9 + 4. Let k = -3 - b. Calculate the highest common divisor of k and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(f + 0 + 0) + 6*f + 17*f - 6*f - 2*f - f - 3*f.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 494 - 181. Let n = b - 192. Suppose -w + 124 = n. Solve -2*u = u + w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from {s: 2, l: 9, t: 3, n: 3}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:31 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by -10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxovottvvooo. Give prob of sequence ox.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 2)\/((-9)\/6). Suppose -2*d + 0*d = -z + 7, 2*z + a*d = 8. Let v = -44 + 45. What is the nearest to 2 in v, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 28, -17, -0.1, 3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 2:39 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by 12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a - 107. Let u(d) = -3*d + 55. Determine -4*r(c) - 7*u(c).\nAnswer: c + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 28 = 2. Calculate the greatest common divisor of v and 260.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 461*g**3 - 830 + 369 - 1571 + 2*g**2 - 2102*g**3 + 908*g**3 wrt g?\nAnswer: -2199*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2948)\/(11\/(-1)) + 0 + -4. Calculate the greatest common factor of 24 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15684, -31629, -47580, -63537, -79500, -95469, -111444?\nAnswer: -127425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935 is divided by 233.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*v - 5424 = -35*v. What is the highest common factor of v and 1884?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13a (base 15) to base 13\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 0.2, -0.6, -0.5 in ascending order.\nAnswer: -6, -3, -0.6, -0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 188 + 242 - 671*a - 849 - 1179 wrt a?\nAnswer: -671","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-36)*(-60)\/8*(-6050)\/1375?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 111002 (base 4) to base 15\nAnswer: 5eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 11:28 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - h - 1. Let k(s) = -2*s**3 - 3*s + 2. Determine -k(n) + 3*r(n).\nAnswer: -n**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - o = -3*o - 70, 4*l = -o + 61. Let p be 2*2\/4 - -1. Suppose -n = -p*n + l. What is the lowest common multiple of 18 and n?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1360, 900, 134, -938, -2316, -4000, -5990?\nAnswer: -8286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s - 180 = 0. Suppose -4*w = 5*u - s, 2 = -4*u + 22. Solve -5*i + w*n + 15 = 0, -4*i - n - 4 = 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**4\/5 - 414*k**3\/5 - 14691*k**2\/5 - 28152*k\/5 - 13872\/5 = 0. What is k?\nAnswer: -68, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 573 by -6.\nAnswer: -191\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsvvvvvsvsvss. What is prob of picking 4 s?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 3974202.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/5)\/((-2)\/8). Let i = 30.3 + 29.7. Let c = 55 - i. What is the second biggest value in -2, -0.06, h, c?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + sqrt(1152) + 2 - -4*(sqrt(1152) + 1)))**2.\nAnswer: 34560*sqrt(2) + 1037376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77434863?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Express 4*i - 5*i + 4*i + (-4 + 0 + 6 + (-43 + 18 - 42)*(-2 + 3 - 4) + (-3 + 0 + 2)*(-4 + 5 + 1) - 4 + 4 + 1)*(69 - 5*i - 69) as j + x*i and give x.\nAnswer: -1007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4399226*5\nAnswer: 21996130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 12*t**2 + 11*t - 11. Give q(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*r + 26*r + 7*r**3 + (1 + 2 - 1)*(r**3 + 3*r**3 - 2*r**3).\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 282 - 281. Solve 3*p + 14 + y = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxwwxxffxfxwwwfkxf. What is prob of sequence wxx?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/312 and 121\/217840.\nAnswer: 8495760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -47, -421, -1439, -3425, -6703, -11597, -18431, -27529?\n\"Answer: -54*u**3 + 2*u**2 - 2*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 5.9. Let k = -0.01 - -0.31. Suppose 5*q - 8 = 2. Which is the nearest to q? (a) 3 (b) p (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4\/5)\/u**(3\/7)*(u\/u**(-2\/5))\/u**(-5) assuming u is positive.\nAnswer: u**(181\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2*-9 - (-60345)\/3129) + (-3)\/(-21)*754\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j - 12. Let b(q) be the third derivative of -q**4\/24 - q**3\/6 + 4*q**2. Let d(o) = -2*b(o) + 2*f(o). Differentiate d(r) with respect to r.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - l + 7. Let z be v(0). Let j(n) be the third derivative of n**5\/60 - n**4\/6 - 4*n**3\/3 + 19*n**2 - 6. List the prime factors of j(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 8\/95, 0.2, -6029?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 481541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 346463.1 minutes?\nAnswer: 240.599375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-38631846.\nAnswer: 19315923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 3*v + 33 = 0, 162*j - 164*j = v + 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*(-1*sqrt(64) - sqrt(16)))\/(sqrt(96)\/(sqrt(108)\/(sqrt(18)\/sqrt(2)))*5).\nAnswer: 27*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 133.16 from -2270594.\nAnswer: -2270727.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.37 + 0.63. Let f = 30.37 - k. Let u = -0.36984 + f. What is u rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*q**3 - 551*q**2?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20112 - 0?\nAnswer: -20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 3*d**2 + 2*d - 3. Let w be t(-4). Suppose -2*i - 951 = -5*s, w*s - 762 = -i + 195. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.025 + 19.975. Let f = 19.95 - d. Let z = -3.05 - f. Which is the third biggest value? (a) 0.1 (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1183239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159 - 147. Calculate the highest common factor of y and 384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 2}. Give prob of sequence ii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -3*p**5\/20 + p**4\/4 + p**3\/2 - 3*p**2\/2 - 4*p. Factor m(d).\nAnswer: -3*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1091b7 (base 13) to base 10.\nAnswer: -391385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**3*l**2*z - 762*a**3*l*z - a*l**2*z + a*l*z - 10*l**2*z - z wrt l.\nAnswer: -6*a**3*z - 2*a*z - 20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4518 and 45675.\nAnswer: 22928850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven quarters of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2098906?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7080*u. Let c(i) = 5486998*i. What is 3101*a(h) - 4*c(h)?\nAnswer: 7088*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**5\/11 - 394*r**4\/11 + 12820*r**3\/11 + 652012*r**2\/11 + 5081610*r\/11 - 5746050\/11 = 0.\nAnswer: -15, 1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 56105205901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 31*c + 3 = -56*c - 2, -4 = 4*c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.057 + -0.243. Suppose 7*l - 24 = 3*l - 4*i, 10 = -l + 3*i. Let q be (l - -1)*-4 - -2. Sort 0.2, q, m in increasing order.\nAnswer: q, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooo. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 10*k + 129 - 21 + k**2 + 30. What is n(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 21913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y**(-5\/3)*y)\/y)\/(y*y**1))**6\/((y**0*y\/(y*(y*y\/(y*y**3)*y)\/y))\/((y\/(y\/y**(-5)*y)*y)\/y**2)) assuming y is positive.\nAnswer: y**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84*f**3 + 284*f**2 - 87*f**3 - 368*f**2 wrt f?\nAnswer: -1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*5*(sqrt(648) + (2*sqrt(648) - sqrt(648)) + sqrt(648) + sqrt(648)))\/((sqrt(1089) + -2*(sqrt(1089) + sqrt(1089)*2 - sqrt(1089) - sqrt(1089)))*6).\nAnswer: 120*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 6*z + 7. Let v be p(-3). Solve 0 = 4*l - 12, -g - 2*l - v = -5*l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4770219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-570))\/(228384\/(-602680)).\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17793\/7 - -2547. What is the common denominator of -51\/13 and a?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*t**3 + 324793*t - 139*t**2 - 324793*t wrt t?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -24*t - 127. Is c(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 0*s + 3\/16*s**4 + 1\/2*s**3 - 2 + 3\/8*s**2. Factor f(b).\nAnswer: 3*b*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008064697 rounded to 6 dps?\nAnswer: 0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.005 - 29.005. Let p = 16 + r. Let s be -6*((-4)\/(-6) + (-24)\/18). What is the third biggest value in s, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - g. Suppose 3*m + 3 = -0. Let x be r(m). Suppose x*b + 6 = -0*k + 3*k, 4*k - 13 = b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1580, 1526, 1436, 1310, 1148, 950?\nAnswer: 716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 9 - 15)*(10*j**4 - 2*j**4 + 0*j**4) to y*j + x*j**4 + w*j**2 + a + v*j**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5506133 (base 7) in base 5?\nAnswer: 133040121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 + 0.37. Sort q, 4, -0.5, 0.7 in ascending order.\nAnswer: -0.5, q, 0.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3 = 5. Let k(d) = 7*d**2 - 4*d + 2. Let i(z) = -9*z - 1. What is the smallest common multiple of k(r) and i(-1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*g + 5. Let j(o) = -3*o**3 + 57*o**2 - 120*o + 303. Let p be j(17). Sort p, g, -4 in decreasing order.\nAnswer: p, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 34 + -6 - (-2 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*j + 2*j + 38, -k + 2 = 0. Let d = 15 + j. Suppose 3*r + 34 = u - d*r, 3*u = -3*r + 150. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(242)*-1 - (4 + sqrt(242) + sqrt(242)*1)) + (3*(sqrt(242) + 1 + sqrt(242)) - (sqrt(242) + 0)*-2) + 5)**2 + -2)*-6.\nAnswer: -36504 - 3960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -321*y**3 - 1089*y**2 - 651799 wrt y.\nAnswer: -963*y**2 - 2178*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4389.011 hours in nanoseconds?\nAnswer: 15800439600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -7*r + 4*f + 26, 4*f = -3*r - 10. Let d be (-15)\/(-1 - r)*-1. Let n = -2 - d. Put n, 1, 5 in ascending order.\nAnswer: 1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in -4577, 45, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (90944\/(-10))\/(-2) + 50\/(-250) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2513 - -4406. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8353 or -8339?\nAnswer: -8353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 97*m**2 - m + 33. Let o be h(6). What is the greatest common divisor of o and 414?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 22614*n - 43025. Let t(r) = 4523*r - 8603. Let d(x) = 6*p(x) - 29*t(x). Find the first derivative of d(b) wrt b.\nAnswer: 4517","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.132 * -0.3\nAnswer: -0.0396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 18. Let m(b) = b**2 + 4*b - 8. Let c be m(3). Suppose -c*z = -117 + 26. Calculate the highest common divisor of y and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1032, -12, 5 in ascending order.\nAnswer: -1032, -12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 4*u + 1. Let k be y(7). Let h = k - 22. Solve -s - 2 - 2 = h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 323, 323, 321, 317?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**3 + 6*r**2 - 6*r + 9. Let a(b) = b**3 - b**2 + b - 1. Let q(u) = -5*a(u) - z(u). Let o = -1583 + 1580. Give q(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*i + 12*i**3 + 3\/2*i**4 - 3\/2*i**2 + 0.\nAnswer: 3*i*(i - 1)*(i + 1)*(i + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 1983*h**2 + 1982*h**2 - 4*h + 2*h as i*h**2 + v + k*h and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 108*u**2 + 167*u + 2089. Let w(h) = -26*h**2 - 40*h - 522. Determine -25*w(v) - 6*z(v).\nAnswer: 2*v**2 - 2*v + 516","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) + (1*sqrt(99) + sqrt(99) - sqrt(99))*6))\/(sqrt(90)\/(2*sqrt(10))) + (sqrt(396) - (sqrt(396) + 2*sqrt(396)*-3))*5.\nAnswer: 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 3*m - 2*m)*(-4*m - m - 6*m)*(7*m - 3*m - 3*m) + (m**2 + 0*m + 0*m)*(m - 2 + 2) - m + m - 2*m**3 - 1 + 1 + 2*m**3 + 2*m**3 - 8*m**3 - 9*m**3.\nAnswer: -25*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 120539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 - -9935.51.\nAnswer: 9884.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/11*n - 96\/11 - 2\/11*n**2.\nAnswer: -2*(n + 4)*(n + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y - 37 = -4*w, 4*w - 3*y = 17. Which is smaller: w or 9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. Let r(a) = -a**2 + 6*a - 4. Let k be r(c). Let s(b) = -b**3 + 4*b**2 - 3. Calculate s(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -10. Let d = -8 + 5. Let n be (d\/15)\/(1 + 0). Which is the nearest to 1? (a) l (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -161 - -310. Let t = d + -154. Suppose 5*c - 53 = -n, c - 23 = -2*c - 5*n. Is t equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4949285*g**4 + 11208142*g**2 wrt g?\nAnswer: -118782840*g","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*x**2 + 96*x**2 - 54*x**2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 212*f**2 - f - 43. What is the units digit of o(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (3 - 1 - 6 - -17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 5420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1035 = o, -1 = k - 6. Let i = -143 + o. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -17. Let t be 7\/(y\/(-2)) + 8. Solve t = 2*c + c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x - 6*x + x)*(-2*x**2 + 4*x**2 + x**2) to the form n*x**2 + s*x**3 + w*x + p and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 797*p**3 - 2*p - 792*p**3 + 2*p.\nAnswer: 5*p**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*l - 11 = 0, 4*l - 1 = -4*t + 3. Let q(c) = 5*c**2 + 3*c**2 - t*c**2. Let i(k) be the third derivative of k**5\/60 - 3*k**2. What is q(i(n))?\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -580614*h*q - 6155*h - 88 with respect to q.\nAnswer: -580614*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 44, 60, 70, 74, 72?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/5)\/((-36)\/2430) + 4. Let v = c + 53. Suppose 0 = -5*s + 91 + 24. Solve -v*x + s = -4*n, -x + 0*n - 2*n = 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/40 and -121\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21a (base 14) to base 4.\nAnswer: -12200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from ddddddjdddj?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/12 + 4 + (-623)\/356 - 0?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6025 and 51333?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -335*p + 359*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440 and 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38368, -76742, -115134, -153550, -191996?\nAnswer: -230478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(66) + -3*(sqrt(66) + (sqrt(66) - sqrt(66)*2)))*1)\/(((sqrt(864) - sqrt(864)*-2) + sqrt(6) + sqrt(6) - sqrt(96)*-2)*6)*-4.\nAnswer: 4*sqrt(11)\/69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -528*a**2 - 300?\nAnswer: -1056*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 12727 + 12768 = -2*a, 3*a + 3*v - 21 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22433*z**3 - 3226*z**3 + 28420*z**3.\nAnswer: 47627*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d - 8*d - 15*d**2 + 37*d**2 to the form f*d**2 + j*d + v and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2832363?\nAnswer: 3, 314707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from qqliqnqlqz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-621)\/(-36))\/(-23))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 2*s - 3. Let z be -3 - (-1)\/(1\/7). Let x be r(z). Suppose 3*y + 8*y = -11. Put y, x, 2 in descending order.\nAnswer: x, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 715*c - 135*c + 1552*c + 252*c + 1365*c to j*c + s and give j.\nAnswer: 3749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, -102, -360, -756?\nAnswer: -1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 10.7, -4 in ascending order.\nAnswer: -5, -4, -2, 10.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*c = -314*c + 350*c + 11621 - 905 for c.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*s + 2661380 = 4101595 + 2910452. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 2\/((-12)\/(-122)). Let i = o + -17. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -0.7. Let m = -52 - -52. Let z = -1397\/8 + 175. Which is the third smallest value? (a) z (b) m (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663 <= 4815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6962 is divided by 142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/1)\/((-10850)\/(-16275))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 2:59 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/27*3*(-4)\/(-24)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -170*f**3 - 1. Let l be u(-1). Let d = 8\/17731 - -3001597\/17731. Let r = d - l. Which is the second smallest value? (a) 4\/5 (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*h + 3178*f + 3494*h wrt h.\nAnswer: f + 3494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 + 2*l - 2*l + (l + l**4 - l)*(-3 + 3 + 2*l) - 4 - l**5 + 4*l**5 - 5*l**5.\nAnswer: -l**5 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**6\/120 + 2*j**5\/15 - j**4\/4 + j**3 + 17*j**2\/2 - 5. Let h(q) be the second derivative of v(q). Calculate h(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 4*c**2 + 5*c**2 + c**2 + 141*c - 3*c**2 + 28 to j*c + g*c**2 + s and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 7*q - 36. Is 22 a factor of n(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48479855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 1656*o + 163 = 1661*o, -4*r - 13*o = -425 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 3, -1, -7, -15, -25, -37?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s. Let y(b) = 1080*b**2 - 422. Give t(y(q)).\nAnswer: 7560*q**2 - 2954","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + 3 - 1 - 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 7:33 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-37)\/111 - (655\/3)\/(-1). What is the second derivative of -2*x**5 + 160*x**3 - s*x + 32*x - x**4 + x**4 + 45*x wrt x?\nAnswer: -40*x**3 + 960*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 2*z + 6. Let w be s(-5). Let a be 3206\/w - (-4)\/18. Let u = 2193 + a. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**2 + 0*f + 4*f**2 + 3*f + f**3 - f as o*f**2 + a*f + h + j*f**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*f + 4 = 39*f - 3*l, -2*l = -2*f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6924, -7498, -8072, -8646, -9220, -9794?\n\"Answer: -574*t - 6350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y**2 + 19*y - 1. What is z(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-295)\/45 - -7)*((-2475)\/(-325))\/11.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-5) - (-184)\/20. Let y(b) = 5*b. Let f(m) = -m. Give x*f(i) + 2*y(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57868 and 2072.\nAnswer: 810152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 4*r**2 - 2*r + 1. Let v(l) = -l**2 + 0*l**2 - 4*l + 4 + 2*l. Suppose -4 = -3*h + 4*h. Let i be v(h). Give f(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - l + 5*f - 255, 4*l - 3*f = 231. Let s be (-6 - -2)\/12 + (-546)\/(-18). What is the highest common divisor of s and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*z)*(-5 - 6 + 7) + (1 + 0 + 0)*(5*z - 32*z - 18*z).\nAnswer: -33*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111 + -106. What is the third derivative of -15*l**y + l**2 + 14*l**2 + 15*l**2 wrt l?\nAnswer: -900*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6741, -13981, -21719, -29955, -38689, -47921?\n\"Answer: -249*f**2 - 6493*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15302675 or 3?\nAnswer: 15302675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 + 4.09. Suppose -3*m + 8*m - 24 = 4*j, 5*m - 15 = -5*j. Let l be (1\/m)\/(-1) - (-15)\/28. Which is the closest to 2? (a) q (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 1327566.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 18251017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -28*t - 11. Let b(h) = -22*h - 9. Let q(i) = -7*b(i) + 6*c(i). Calculate q(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 - y + 2. Let w = -4691 - -4720. Calculate the remainder when w is divided by a(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**4\/8 + 4*i**3\/3 - i**2. Suppose 0*n + 3 = -2*n + 3*y, 60 = -5*n - 3*y. Is m(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 10 = 5*k. Suppose -k*f = -3*n - 13, n - 4*f + 15 = -1. Suppose n*t - 761 = -5*b, 2*b = -3*t - 169 + 745. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 0*n + 1 + 7\/2*n**2. Let t(g) = 3*g + 10. Let y(s) = -14*s - 45. Let c(w) = -9*t(w) - 2*y(w). What is r(c(u))?\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (1 - 5)) + -10 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (0 + 16 + -14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 10*s + 6. Let k(a) = -a**2 + 3*a + 3. Let b be k(-2). Let p be u(b). What is the remainder when (-2)\/(-6) + (-85)\/p is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 4*a**2 + 2*a**2)*(7 + 1 - 1) + 5 + a**2 - 5 + (-2*a + a - 2*a)*(-6*a - 7*a + 4*a).\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102 (base 3) in base 15?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -4, -1 in increasing order.\nAnswer: -4, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1304.157 - 0.06\nAnswer: -1304.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675478 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 907192*d - 1814377*d + 907185*d - 19*d**2.\nAnswer: -19*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31312 (base 5) to base 11\nAnswer: -1623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 121878.64 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.143 - -2.343. What is the nearest to 4 in t, -8\/19, 3, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94 and 9498794?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*p = 4*n - 43, 2*p - 6 = 3*n. Suppose -2*a + p = -9. Let y be (-2)\/4 + (-290)\/(-4). Calculate the greatest common divisor of y and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*2\/(1 - -1). Let l = a + 3. Suppose 39 = 3*z + q, -3*q - q - 39 = -l*z. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**3 + 2*r**3 - 2*r**3)*(-28 - 31 - 5) + 11*r - 11*r + 6*r**3 to the form i*r + v*r**2 + n + d*r**3 and give d.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*b**5 - 11*b - 11 + 19*b**3 + 8*b**5 + 10*b**2 + 13 + 15*b**5 - 25*b**5 wrt b.\nAnswer: 540*b**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 184 - 183.6. Which is the second smallest value? (a) 32 (b) i (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m + 34. Let g be f(5). Sort 32, g, -1 in ascending order.\nAnswer: g, -1, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p - 3*p + 0 + 0.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**2 - 7*i + 10 = 0?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 938 (base 10) to base 4.\nAnswer: 32222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 - 5\/2. Is (1 - (-1)\/j)*422 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 2:25 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -18053 at most -18053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15249695 or -15249694?\nAnswer: -15249695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/5)\/(d*d\/(d\/(d**(-1)*d))*d))**19 assuming d is positive.\nAnswer: d**(-209\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 216979992722 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (0 - (-2 + (-10 - -19))) - 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. Suppose -3*v + 3*z = 2*v - 24, -3*v + 18 = -h*z. Suppose 5*k = -v*u + 10 + 42, 2*k = u + 12. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -4, -10092 in ascending order.\nAnswer: -10092, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20762.3 - 17138. What is z rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 16*y + 8. Let q = 16 - 32. Let w be d(q). Suppose w*p - 13 = 3*p + h, -3*h = -2*p. Solve -2*i + 4*j - 24 = 2*i, -i - p*j = 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.2 * 10\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*l + 6. Find the second derivative of -2*t - 6*t**2 - 2*t + 2*t**l wrt t.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 4*w + 1. Let u be z(-3). Suppose -4*o = u - 2. Let x(k) be the second derivative of -k**4\/12 - 5*k**3\/6 + 3*k**2 - k. Give x(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -77*y**4 - 657*y**4 + 468*y**2 - 240*y**2 - 456 - 228*y**2 with respect to y.\nAnswer: -2936*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640 = 19*w + w. Suppose -13*r + w = -21*r. Let z(h) = 9*h + 1. Give z(r).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/429*11*3\/4*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 2266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 13 = -u, -2*u = 3*u - w - 65. Let p(d) = 10*d. Let f be p(-2). Let i = 33 + f. Calculate the greatest common divisor of i and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**2. Let j(p) be the second derivative of -p**4\/6 - 9*p. Determine g(j(n)).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 + 80. Let v = 906 + -899. Calculate the remainder when h is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) -15\/77 (c) -0.1 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -35*x**3 + 9*x**2 - 4*x - 2. Let o(q) = 53*q**3 - 14*q**2 + 7*q + 3. What is -5*o(l) - 8*t(l)?\nAnswer: 15*l**3 - 2*l**2 - 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19202 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-16)\/4 + 24 + -2 and 88?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0 = g - 1, 5*q - 3*g + 17 = 0. Let o be (-4)\/3*3*q. Suppose -9 = -o*i + 11. Which is bigger: 4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -1, -3 in decreasing order.\nAnswer: 1\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2*w*w\/(w\/(w*w**1*w*w))*((w\/(w\/w**(-1))*w)\/w*w)\/(w\/w**(-5)*w))\/(w**13\/(w*w**(-2\/15)*w**(1\/4)*w)) assuming w is positive.\nAnswer: w**(-653\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*w + 8*w + 2*n, -3*n = -w + 30. Calculate the lowest common multiple of w and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/66 + (-16)\/(20240\/345)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 + 74.0000045. What is m rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9555858, -19111525, -28667192, -38222859, -47778526?\n\"Answer: -9555667*i - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**0)**48*o**7*o*o*(o*o\/o**(1\/2))\/o*o*(o**(2\/5))**0\/(o**(2\/29)*o**(-3)\/o) assuming o is positive.\nAnswer: o**(3621\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 97*q**2 + 0*q - 4\/3*q**3 + 0 - 1\/12*q**4. Calculate u(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39445, 3, 11, -5, 0, 1, -2 in decreasing order.\nAnswer: 39445, 11, 3, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*d**5*n - 101*d**3*n + 2*d**2*n + 100*n wrt d?\nAnswer: -300*d**2*n - 606*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38179142 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 141 - 6 + 215. What is the remainder when 1362 is divided by s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -94\/97, -2, -1\/7, 0.3, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 1240872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-77)\/(-21) + 2\/(-3). Suppose x*z + 1143 = 6*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -185 - 97943?\nAnswer: -97b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -156 - -3311662?\nAnswer: 3311503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 7*s**2 + 2*s - 14. Let y be f(7). Suppose 3*l - 2*n = n, y = 2*l + 5*n. Solve -2*j + 2*t - 5*t - 5 = l, t - 5 = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 0.57.\nAnswer: -0.0399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 3*r**2 - 4*r + 2. Let p be u(2). Is -10 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116323 (base 7) to base 16\nAnswer: -53b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 264491 - 6472. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 11. Is 13 a factor of 8 + 37 + t + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649154343.\nAnswer: 3, 311, 695771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -323 (base 10) to base 14\nAnswer: -191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1558*l**3 - 463*l**3 + 1305*l**3.\nAnswer: 2400*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 - 23*c - 15. Suppose 13*x = 35 - 165. Does 15 divide h(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-10)\/t)\/t*t*t)**(-22)*(t*t*t*t\/(t\/(t*t*t**7)))\/t**(-8) assuming t is positive.\nAnswer: t**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77099, -77098, -77097, -77096, -77095, -77094?\nAnswer: -77093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.22244 months in millennia?\nAnswer: 0.00685187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 19 = 3*g, -3*y = -3*g - 5 - 19. Suppose -12*z + 114 = 26*z. Calculate the remainder when (15\/g)\/((-1)\/2) is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**3\/3 - 1. Let l(t) = -t - 5. Let m = 44 - 34. Let f(d) = 1. Let s(j) = m*f(j) + 2*l(j). Determine s(a(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.0346 and 3?\nAnswer: 4.0346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 9:06 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (1 - (-5)\/(-1)). Let t(z) = -z**3 + 2*z**2 + 3*z - 3. Let p be t(u). Let m(k) = -k**3 - 24*k**2 - 25*k - 29. Is 2 a factor of m(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*-2*4\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 + 7*v**2 + 19*v + 29. Determine u(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l**2 + 2*l - 2*l**4 - 4 + 9 - l**3 + 2*l**2 - 9*l**2 in the form f*l**3 + y*l**2 + i + m*l**4 + t*l and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 7*q**2 + 8*q - 5. Suppose 4*s - s = 21. Let i be n(s). Calculate the highest common factor of 34 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4 - 84*d**3 + 566*d**2 - 708*d - 1360 = 0. Calculate d.\nAnswer: -1, 4, 5, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohbsmoboosoooosopmo. What is prob of picking 1 p, 1 h, and 1 b?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87850913?\nAnswer: 37, 1249, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85)\/(-340))\/((-4)\/(-256))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54980 + 102746. Suppose -19*j = -0*j - x. Suppose -700 + j = 2*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 - v**4 - v**4 + (1 - 1 - 2*v)*(1 - 1 - 3)*(-v**3 + 0*v**3 - 3*v**3) + 301*v**3 - 301*v**3 - 127*v**4.\nAnswer: -153*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*sqrt(612) - sqrt(612)).\nAnswer: -4 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z. Let s(l) be the third derivative of l**4\/8 - l**2 + 7*l. What is x(s(j))?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 969, 1550, 2131?\nAnswer: 2712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 306 and 8?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/399 - 11918\/5187. Which is smaller: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/36*6*16\/(-108).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -67*a**2 - 6. Let s(v) = 66*v**2 + 7. Calculate -7*j(g) - 6*s(g).\nAnswer: 73*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -22. Let v be o\/1 - -11*(3 + -4). What is the common denominator of 31\/7 and (v\/30)\/(12\/(-615))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-23)\/((-299)\/182))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10120202202 (base 3) to base 6.\nAnswer: 1302332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1851960 and -97\/10.\nAnswer: 1851960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -v - 4 + 9, -3*v + 15 = 5*m. Let b = -20 - -31. Let o = b - -2. What is the remainder when o is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**7\/42 + 7*d**6\/8 - 31*d**5\/3 + 115*d**4\/2 - 520*d**3\/3 - 7*d**2 + 46. Factor p(t).\nAnswer: -5*(t - 13)*(t - 4)*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.92 to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/8 of a centimeter?\nAnswer: 31250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1450527285?\nAnswer: 3, 5, 96701819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 74 and -11561919?\nAnswer: -855582006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 122, 234, 350, 470?\n\"Answer: 2*l**2 + 106*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 67*d + 581. Let k(b) = -b**3 - 8*b**2 - 5*b + 2. Give k(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125356*o**3 - 62663*o**3 - 62679*o**3.\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 830 and 1675355.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*i - 4*i - i)*(512*i**2 + 1 - 512*i**2 - 8*i**3) + i**4 + 2*i**4 - 5*i**4 to the form a*i**2 + p*i**3 + x*i + v + h*i**4 and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1909*w**2 + 1208*w wrt w?\nAnswer: -3818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8*7\/294)\/((-6)\/9). Factor -2\/7*h**2 - 6\/7 - p*h**3 + 10\/7*h.\nAnswer: -2*(h - 1)**2*(h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(13) + (sqrt(1573))**2 + -5 - (sqrt(13) + 4 + -3)**2).\nAnswer: -sqrt(13) + 1552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 58634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 37?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47475.\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69149 is divided by 45.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - i. Let b = 18 - 12. Let j = -4 + b. What is the second biggest value in 0.5, j, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*u - 3 = -0*n - 4*n + 102*u, -2*u + 6 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/4869 and 43\/4869.\nAnswer: 4869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -100, 8, -165713 in decreasing order.\nAnswer: 8, -100, -165713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3852 + 3857. Solve 2*h + 92*g - 94*g = -6, 0 = 2*h - n*g + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 30*w + 567. Let x be v(-19). Let y = -14 + 9. Sort 1\/9, y, x, 2 in decreasing order.\nAnswer: 2, 1\/9, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 + -32. Let r be 3\/(-2 + v\/12). Suppose 2*l - r*l = 9400. Round l to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -3, -1.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 26309.21182 to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51618209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 69 + -50 + -34 - (3 + 47 + 1)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 6 + 1 - 12954*t - 13.\nAnswer: -12954*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 609 - 593. Let v = 113 + -54. Calculate the remainder when v is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*k*v**2 + k*v + k + 652 wrt v?\nAnswer: 28*k*v + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 + 2*f**2 + 2*f**2 + (2 - 7 + 3)*(-2*f**2 - 2 + 3*f**2 + 2*f**2).\nAnswer: -5*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79 (base 13) to base 8.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.2283 + 1.6?\nAnswer: 18.8283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1555948.\nAnswer: 2, 19, 59, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*12*((-70)\/(-15) + -5). Solve -4*r = p, -3*r = p + a*p + 17 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21120411 (base 5) to base 6\nAnswer: 3440244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-40) - (-92)\/(-16)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -230, -127, 148, 679, 1550, 2845, 4648?\n\"Answer: 14*h**3 + 2*h**2 - h - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s - 2. Let f be ((-2)\/(-3))\/((-4)\/(-12)). What is the remainder when 11 is divided by d(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3991240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2, 7, 40, 109, 226, 403, 652, 985?\n\"Answer: 2*o**3 - 5*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24951*g**3*k**3 + 2*g**3*z**2 - g**3 + 46*g**2*k**3*z + 20*g**2*z**2 - 61*g*k + 3*k**3*z**2 wrt g?\nAnswer: 149706*k**3 + 12*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -34*m - 122. Determine w(-8).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43335983.\nAnswer: 2351, 18433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1781*v - 2626*v - 9*v**3 + 4407*v.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062284721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 12) to base 13.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 2*c = 5, -9*c + 13*c = 5*o - 35 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -410*i + 310*i - 636*i to the form q*i + h and give q.\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 13 - 1)*(2 - 1 - 3)*(-1 + z - z + 2*z) in the form q + s*z and give q.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 5. Let s be g(-5). Let d be s + 0 - (-90)\/3. Let x(k) = k**2 - k + 3. Let m be x(-8). Calculate the highest common factor of d and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 + -82. Let s be (6\/(-3) + -2)*w. Let h = 177 - s. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4005\/349 less than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/238, -3.9, 4, 0 in decreasing order.\nAnswer: 4, 0, -23\/238, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 2:47 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/176*24*2\/12*-3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-5) + (-8 - 812\/(-120)). What is the closest to o in -4\/7, -0.4, -1\/4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 285, -4, -4363 in ascending order.\nAnswer: -4363, -4, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1429 by -1.\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 507 and 0.3?\nAnswer: 506.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 20*f**2 + 32*f - 37. What is the thousands digit of z(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*w**6 + 10631753*w**5 - 1884670*w**2 + w?\nAnswer: -360*w**3 + 637905180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 241102.587 to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 5*t. Let z(b) = -3*b**2 - 14*b. Let j = -10 + 21. Let s(q) = j*v(q) - 4*z(q). Let a = -1 - 0. Determine s(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.14\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p = -16. Let f(n) = -6*n - 4. Let t(u) = 16*u + 10. Let h(y) = 11*f(y) + 4*t(y). Let x(a) = 2*a + 5. Calculate p*h(i) + 3*x(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(-5) - 9\/15. Suppose f + 1224 = -j*f. Let h be (-6)\/(-15) - f\/(-20). What is h rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {t: 1, y: 1, c: 7, h: 4, v: 3}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 511*c*j**2 + 12024*c - 706156402*j**2 with respect to c.\nAnswer: 511*j**2 + 12024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 648\/(-144)*(-1)\/((-6)\/(-44)). Suppose -4*p - 17 + z = 0. Factor -12*d**3 - 32*d**2 + 0 - 8*d + 40*d**p - 25\/2*d**5.\nAnswer: -d*(d - 2)**2*(5*d + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8658?\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 5:02 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*o = 3, -2*o = -4*o. Let n = -0.232 - -0.042. Let s = n - -0.59. Which is the nearest to r? (a) s (b) 0.5 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 15. Suppose 0 = 4*a - k*x - 1360, -2*a + x = -35 - 645. Suppose -19*h + a = -20*h. Round h to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -303994750\/7 or -43427820?\nAnswer: -43427820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnzzhhzzhnnnhhn. Give prob of sequence nhz.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 10. Let t be y(-12). Find the common denominator of 4\/16*(-6)\/4 and 1\/(-68)*(104 - (3 - t)).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 29 = 5*s, 5*y - 5*s - 48 = 67. Let j = y - 9. Calculate the greatest common factor of 120 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-273)\/70*(-130)\/156?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -83*j - 399. Calculate the least common multiple of 48 and k(-5).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 137*b**3\/6 + 1084*b. Let m(l) = 18*l. Determine u(m(t)).\nAnswer: 2466*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14 - 744\/(-60))*(-680)\/(-6). Calculate the highest common factor of i and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*f**5 + 49*f?\nAnswer: 1020*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Let p = 0.04 + 0.16. Which is the closest to p? (a) -0.3 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-2 - -2)) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 243404 (base 5) to base 13\nAnswer: 427c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 2*v - 277. Let d = v + -77. Let r = 10 - -2. What is the highest common divisor of r and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/207*(-4014)\/(-1784)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 + -33. Let l = 29.9999977 - i. What is l rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((1452\/(-16))\/11)\/((-2)\/8). Solve 2*x = 5*m - o, 0 = -x + 4*m - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o - 3*o + 2*o. Let c(r) be the second derivative of -2*r**2 - 42 + 3\/2*r**3 - r. Give s(c(m)).\nAnswer: 18*m - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**2 + 7*i**2 - 8*i**2 - 16*i**3 + 15*i wrt i?\nAnswer: -96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 370126 + -65753. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26600 + 26600.00011429. Round k to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1)*(-2*q + 0*q - q) + 6*q - 18*q - 5*q - 80*q to u*q + j and give u.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nreunff. What is prob of sequence nnue?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*w**3 - 9*w**3 - w**3 + 66*w**3.\nAnswer: 27*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-4 + 1) - (-1999 - -2019).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 23 = 196*n - 191*n, 0 = -4*x - 5*n + 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -12\/445, 2, -1.6087 in decreasing order.\nAnswer: 2, 3\/4, -12\/445, -1.6087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x - 2*x + 4*x)*(x - 2*x - 6*x) + (1 - 1 - 2*x)*(-4091 - 173*x + 8182 - 4103)*(0 + 1 + 1) as n*x**2 + j + t*x and give n.\nAnswer: 685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8669453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-10)*-2)\/(1\/(-2)). Suppose 3*l + p - 144 = -3*p, -g*p = 0. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*((sqrt(99)*-1)**2 + -1) + -4*(sqrt(99) + (sqrt(99)*-1)**2 + sqrt(99) + 5) + -3.\nAnswer: -124 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-1))\/5)\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30754217, 61508432, 92262647, 123016862, 153771077?\nAnswer: 184525292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15630 - 9320. Let x = -6299.604 + z. Let a = x + 0.004. What is a rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/2)\/(9\/(-162)). Suppose 3*f - 2*u + u = 11, f - 5*u = q. Let b be (-14)\/(-18) - 2\/(-9). What is the greatest common factor of f and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 8*u**2 + 8*u + 9. Let n be a(9). Let m be 3*((-8)\/(-6) + n). List the prime factors of m\/(-6) - (-16)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28\/40)\/(-7))\/(-7 - -8).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 5:43 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 9:45 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by -52.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 2*a**2 - a + 2. Let b be i(3). Calculate the remainder when 411\/7 + b\/28 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (19\/2)\/(4*(-4)\/(-96))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ssssssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-15))\/1*(-8)\/(-5).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2580 and 4996.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**2*l**2 - 3*f**2*l - 630*f**2 + 159168*f*l**2 - 8*l wrt l.\nAnswer: 4*f**2 + 318336*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119.93 rounded to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**2. Let h(q) = 4*q**2 + q. Let b = -6 - -4. Let k(i) = b*h(i) - 3*d(i). What is the second derivative of k(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**4 - 96*l**3 + 3684*l**2 + 64384*l + 234240 = 0.\nAnswer: -122, -8, -6, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*g - 9*g. Which is the nearest to 2\/5? (a) -3 (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -4, 0, 1 in ascending order.\nAnswer: -4, 0, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 12:07 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5 + 6*f**4 + 32*f**3 - 40*f**2 - 192*f - 128 = 0. Calculate f.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 0 + -6*(-21)\/(-56). Let z = 1 + -1. Which is the closest to z? (a) f (b) 3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/9)\/o)**6)**(-41) assuming o is positive.\nAnswer: o**(-164\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -20, -g + 0*g = -2*y - 8. What is the tens digit of (g + -1 + -6)*4340\/(-60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 39*r**2 + 59*r + 462. What is y(-40)?\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 5:14 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dppidqdqqpd. What is prob of picking 1 p and 1 d?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*s = -29 - 45, 0 = 4*i + 2*s - 240. What is the remainder when i is divided by 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j + 48. Let u be a(24). Let o(z) = -z**3 - z**2 + 9. Let d = 68 - 42. What is the remainder when d is divided by o(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 5:12 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 7*s**8\/96 + 17*s**7\/60 + 67*s**6\/240 - 23*s**5\/120 - s**4\/3 + s**3\/3 + 5*s**2. Factor n(o).\nAnswer: (o + 1)**3*(7*o - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 17666646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -191097*o**3 - 189*o**2 - 32204058*o wrt o.\nAnswer: -1146582*o - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4454 + -4450. What is the closest to 0.07 in 1, i, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 19*y**2 - 25*y + 9. Let h be v(18). Let t be h\/(-26) - (-2)\/(-4). Suppose t*c = 2*c + 30. Solve 3*n = 15, -m + c = 4*m + 2*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238543, -238533, -238523?\nAnswer: -238513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*y**3 + 412*y**3 - 758*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41436 + -41436. Let p(v) be the second derivative of 0 + 1\/2*v**3 - 13\/6*v**4 + u*v**2 - 19*v. What is the second derivative of p(a) wrt a?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/12)\/((-1865)\/470 + 4). Suppose -10*o = r*o - 65037. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 53*i**8\/336 + 23*i**4\/12 - 52*i**2. What is the second derivative of p(f) wrt f?\nAnswer: 1060*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, v: 11, q: 3}. What is prob of sequence tqqv?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001011101100 (base 2) to base 12.\nAnswer: 9ab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -150150149829 and 44.\nAnswer: -150150149785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4 + 4*n + 4 + 11 - 1. Let t(q) = -1. Let a(l) = c(l) + 3*t(l). Is a(7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 1 - 0. Let t be (4 - g)*(-4)\/(-3). What is the greatest common divisor of t and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1454 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -1\/20*o**5 + 5\/6*o**3 + 0 + 7\/12*o**4 + 3*o - 7*o**2. What are the prime factors of y(6)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -2, 0.3, 11993?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -77, -12, -0.1, 0.5?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*u + 1323 = -95*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 1\/7 (c) -3746.7 (d) -0.3 (e) 0.25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 372874.298 to the nearest one thousand.\nAnswer: 373000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqaajaraaqj. Give prob of picking 4 a.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*-1*-3 + sqrt(98))**2 + sqrt(98) + sqrt(98) - (sqrt(98) + (sqrt(98) - (-1 + sqrt(98))) + -2).\nAnswer: 7*sqrt(2) + 1569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by -1.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 18 = 6*d, 9897*r - 36 = -2*d + 9895*r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.48034 + -0.08034. Let w = 34 - 236\/7. Which is the nearest to 4? (a) u (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and -5.05.\nAnswer: 95.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27379723103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2746 and 41\/1436.\nAnswer: 1971628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401118527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181912 is divided by 144.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*g. Suppose -2*j + x + 37 = g, 4*j + 4*x = -18 + 110. What is the remainder when 79 is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1856 is divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 6. Suppose 3*j + 3*t = -180, 0 = -0*j + 2*j - t + 120. Calculate the remainder when j*1\/p*4 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1740, 2540, 3330, 4104, 4856, 5580?\n\"Answer: -t**3 + t**2 + 804*t + 936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyp when three letters picked without replacement from lwkplpuy?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -75*f + 785. Let a be x(11). Which is smaller: -47 or a?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1542267 divided by -1.\nAnswer: 1542267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 18848 in increasing order.\nAnswer: -2, 4, 18848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 - 2*p**2 - 36730 + 2*p**2.\nAnswer: -p**3 - 36730","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - h**2 - h + 15. Let v = -2 - -2. Suppose v = t - 0*t. What is the remainder when 43 is divided by i(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**7\/1260 - 5*o**4\/4 - 11*o. Let d(g) be the third derivative of p(g). Let v(w) = -5*w. Calculate v(d(f)).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454*h = -450*h - 2*y - 34846, 3*y + 8694 = h. Is h a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a minute in milliseconds?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -p - 19, -p = 2*p + 12. Suppose -f*l - 461 = 3286. Is l\/(-9) + (-28)\/(-126) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.098, 4\/7, -0.01, 3, 56?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*r + 50 = 7*l, -3*r = 12. Let x be 18*((-8)\/(-6))\/(-1). Let p be 8\/(-6)*54\/x. Solve p*i + 0 + 3 = -3*s, l = 2*i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49\/178330 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46290, -5, -0.1.\nAnswer: -5, -0.1, 46290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111111110010100110 + 1011?\nAnswer: 101111111110010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11776.5423*0.3.\nAnswer: 3532.96269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t + 12 = 0. Suppose 0 = 5*l + u - 48, -u - 44 = -t*l + u. Suppose 15*s = l*s + 10. Let r(o) = -2*o**3 + 2*o**2 + o + 1. What is r(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - k - 3. Let d be u(2). Solve -a + 3*l = 7*l, 3*a - d*l = 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405)*-1 - (((sqrt(80))**2 - sqrt(5)) + 2 - sqrt(5)) - ((sqrt(320) - (sqrt(320) + 0 + sqrt(320))) + -4 - sqrt(320)).\nAnswer: -78 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (-50232)\/(-897)*(-1)\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**7\/1260 + 19*d**4\/12 - 5*d. Let i(m) be the third derivative of x(m). Let c(u) = -7*u**2. What is c(i(g))?\nAnswer: -28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4995352409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6413, 12911, 19409?\n\"Answer: 6498*v - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/50 and -71\/2295?\nAnswer: 22950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 4. Give b(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - 21\/6*-2. Sort 5, 2, 4, q in decreasing order.\nAnswer: 5, 4, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019915328 rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 5237809354610450*v**2 + 102350470*v + 1\/2 = 0. What is v?\nAnswer: -1\/102350470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604462.\nAnswer: 2, 173, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 1:12 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-2 + 3)) + 4 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 569282002 to the power of 1\/2, to the nearest integer?\nAnswer: 23860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + x + 241, 0*i + i = -5*x - 257. Let t be (-3 - (-24)\/4) + i. What is the common denominator of 3 + (93\/t - 1) and -33\/10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 382740*z**2 + 57188?\nAnswer: 765480*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0477976 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -6. Let w(m) = -m**3 - 6*m**2 - m - 3. Let a be w(-6). Factor v*s**2 - a*s**2 + s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6212.066ng?\nAnswer: 0.006212066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 9*v + 23. Let x be m(-10). Let a be (12\/27)\/((-55)\/x). Let q = -0.1 - -0.1. Does q = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence paoa when four letters picked without replacement from aaappao.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnknnnnnknnnknn. What is prob of picking 3 n?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/3 - 1157*n**2\/3 + 8032*n\/3 + 6900 = 0. Calculate n.\nAnswer: -2, 9, 1150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 125446417224.82 and -1.\nAnswer: 125446417223.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - (sqrt(352)*1)\/sqrt(8))\/(2*sqrt(64) - sqrt(4)) - ((sqrt(99) + sqrt(99)*-1 - sqrt(99)) + 3 + sqrt(99))*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*r**2 - 44*r**5 + 28*r**5 - 4*r**2 + 2*r**2 + 8*r wrt r.\nAnswer: -960*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.29 in -117\/11, -1\/7, 4, -0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32861308, -32861309, -32861310?\n\"Answer: -o - 32861307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 + 2*q**2 + 3*q + 80. Let d(i) = 3*i**3 + 3*i**2 + 5*i + 161. Let u(p) = 3*d(p) - 5*v(p). Is u(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001494928 rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 0*t - 2*t - 3*t - 3*t + 7*t. Let i(p) = 86*p**2. Give k(i(r)).\nAnswer: -86*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65903.13 < 0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 17\/3*n**3 + 0*n**2 + 1\/4*n**4 - 8 + 0*n. What is the third derivative of z(r) wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300971.\nAnswer: 11, 27361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-1)\/4)*-8. Suppose 5*u + y - 1 = 0. What are the prime factors of 21 - 2 - (u + -1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -134894*a**4 - 2544270 wrt a.\nAnswer: -539576*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*i**5 - 30092*i**4 + 2728508*i**3 - 6000756*i**2 + 3935936*i - 633680 = 0.\nAnswer: 5\/21, 1, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)*b)\/(((b\/(b\/b**(-13\/5)))\/b)\/b) assuming b is positive.\nAnswer: b**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3369 or -15?\nAnswer: -3369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**4*g + 2*d**3*g + 5600*d**3 - 1654751*d*g + g wrt d.\nAnswer: 12*d**2*g + 12*d*g + 33600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 1. Let w(g) = -1 + 1 - 13*g + 2. Let c(i) = -5*l(i) + w(i). Let p(a) = -a - 3. Let m(t) = 2. Let o(d) = 2*m(d) + p(d). Give -2*c(v) + 14*o(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18\/17, -0.4, -1, -2\/9?\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 12201\/12 - ((-66)\/24)\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 + 3*n - 3. Suppose 0 = -3*p - q + 215, -7*p + 6*p + q + 73 = 0. Calculate the remainder when p is divided by v(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 54108?\nAnswer: 54113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10294481339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 908, 1719, 2434, 3053, 3576?\n\"Answer: -48*s**2 + 955*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/73, 0, 2\/11, 1135 in increasing order.\nAnswer: 0, 3\/73, 2\/11, 1135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 392.27 - 391. Is -1 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 5*d + 7. Let s be p(-6). Suppose -17 = -3*q - 2*y - 3, 0 = 3*q + 3*y - 18. Is s < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 984, 1575, 3182, 6315, 11484, 19199?\nAnswer: 29970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-31088)\/(-144) - (46\/(-9) - (-13 - -8)) and 560.\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 43331, 86521, 129711, 172901?\n\"Answer: 43190*b + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 1. Let g(m) = -20*m + 54. Let i(n) = -g(n) + 6*k(n). Determine i(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4\/3 + 94*a**3 + 384*a**2 + 1160*a\/3 = 0. What is a?\nAnswer: -2, 0, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 58 = 57. Solve 7*f + 4*w = v*f, 5*w = 4*f + 26 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70150, 70145, 70140?\nAnswer: 70135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 278.7 + -278.5. What is the biggest value in -17.7, 0.3, i, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 761 + 24*a - 18*a - 761.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 7*y**9\/9 + y**5\/20 + 6*y**3 - 87*y**2. What is the third derivative of k(v) wrt v?\nAnswer: 47040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*x + 544*x = -2*d - 100, 93 = 2*d + x + 34 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 14135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**3 + 5*r + 1 + 1 + 6*r**2 + 4*r**3 - 1. Let k be (-32)\/(-10) + 1\/(-5). Suppose 0 = 3*o + 2*c + 7, -o + 1 = k*c - 6. Calculate b(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -43*b**2 + 11*b - 103. Let x(g) = 93*g**2 - 20*g + 203. Let d(t) = 6*x(t) + 13*z(t). Determine d(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1027448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 4*h + 12, 0 = -2*h + 4*t - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 388739\/18 - 21605. Find the common denominator of 26\/33 and y.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-104)\/(-8))\/(3 - 2). Let u = 13 - g. Let s = -5 + 9. Which is the nearest to u? (a) 2\/7 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + 3*d)*(-8*d - 6 + 6).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 6 = 33*t - 18*t, 0 = 5*n + n + 4*t + 62 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -128 and 1.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -181684885 divided by -5\nAnswer: 36336977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 0 + -49 + -257 + 476\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 3*b + 4. Calculate the remainder when a(10) is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 7. Suppose -c*d - 4*l = -158 + 1, 103 = 3*d - 2*l. What is the remainder when d is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 6*b**2 + 2*b)*(-b**2 - 2*b + 2*b + (3 + 2*b - 3)*(-b + 3*b - 3*b)).\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 127.1\nAnswer: 134.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*i - 3. Suppose 2*o - 84 = -i*o. Let c = 20 + -14. What is the remainder when o is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2\/7, -6\/11, -1, -5, -2.9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q = 478891 - 47999. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-11))**(5\/11)\/(n**(-6)\/n*n\/(n**5*n)) assuming n is positive.\nAnswer: n**(82\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6758 - 6757. Sort 12, -6, u, 3 in descending order.\nAnswer: 12, 3, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*t - 479 = 0, -c - t = t - 121. Let g(j) = 2*j**2 + 3*j + 1. Let q be g(-5). Let x = c - q. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h**2 + 9*h - 135. Let a(j) = -9*j**2 - 14*j + 216. Let v(r) = 5*a(r) + 8*b(r). Let p(u) = 7*u**2 + 3*u. What is -2*p(x) + 5*v(x)?\nAnswer: x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12765 - 6713. Suppose 5*x - 4043 = 4*l + t, 2*x - 5*l - 4038 = 0. List the prime factors of x.\nAnswer: 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.32 times 0.2?\nAnswer: -16.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4, -3\/3590, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22540259 divided by -4\nAnswer: -22540259\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4 + (3 + 1*sqrt(304) - (2 + 1*sqrt(304))) + -4))**2*-2.\nAnswer: -3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 6*x**2 - 6*x - 1. Let p be a(-5). Suppose -3*w + p*k + 8 = 0, 44 = 2*w + w + 5*k. Find the first derivative of -w - 8*b + 5 + 2 wrt b.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.34399*17223\nAnswer: 5924.53977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (393513 + f**2 - 393513 - 22*f)*(-3*f + 2*f + 9*f) to o*f**3 + c*f**2 + h + b*f and give c.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5908 to the nearest one hundred.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/5*(-3)\/(-12)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 360, 748, 1134, 1518, 1900, 2280?\nAnswer: 2658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4 = -12, 0 = 2*f + x - 1162. What is the highest common factor of 53 and f?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81452 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -30286 * 0.4\nAnswer: -12114.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 7*h + 5. Suppose 6*w = w - 35. Let l be v(w). Suppose 4*z - t - 196 = 0, l*t = -3*z + 2*z + 49. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 707*w**4 - 2*w**3 + 1606*w**2 wrt w.\nAnswer: 16968*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4 - 4*m**3 - m**2 + 6*m = 0. What is m?\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.217974 rounded to one dp?\nAnswer: -77.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -14067 less than -14066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(13)*1 + 3 + 4)**2.\nAnswer: 56*sqrt(13) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 109*u**2 - 2. Let k(c) = 3*c**2. Determine k(p(g)).\nAnswer: 35643*g**4 - 1308*g**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 5:55 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 93055142902 + 0.2\nAnswer: 93055142902.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**2 + 77008*v + 77012 = 0. Calculate v.\nAnswer: -1, 19253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/3 + 2976\/48 + -74?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222 and 10138.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-564)\/(-42) + 8\/(168\/(-9)). Solve -47 = -g*i + 18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q. Let u(a) = 14*a. Let p be u(2). Suppose 4*s - 8*s + p = 0. Let c(j) = -11*j**2 - s*j**2 + 16*j**2. Calculate c(g(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-36 + 0 + 1 - 13)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + t - 1. Let z(v) = v**3 - 7*v**2 - 6*v + 6. Let y(i) = -6*a(i) - z(i). Suppose g + 0*g = -3*h - 3, 0 = -2*h + 3*g - 2. Determine y(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*6*sqrt(76)\/sqrt(64).\nAnswer: -15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e7f3 + 1bc2?\nAnswer: 103b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*a - 100992 = 0, -25223 = 3*r - 4*r - 5*a. Suppose 0 = -14*w + 19137 + r. Round w to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j + 21. Suppose -n + 2*v = -9, 3*v - 27 = -0*n - 3*n. Let b be u(n). Solve b + 1 = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2574 is divided by 2574.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzz when three letters picked without replacement from zfzzfzzzzfzfzffzzfz?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 16*q**6\/3 + 2*q**5\/5 + 52*q**3\/3 + 44. Find the third derivative of s(c) wrt c.\nAnswer: 1920*c**2 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 501 - 409. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6240 and 2470.\nAnswer: 118560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26593547*x**3 + 41774648*x**2 wrt x.\nAnswer: 159561282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19, -38, -57, -76?\n\"Answer: -19*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -471, -1900, -4267, -7560, -11767, -16876, -22875, -29752?\n\"Answer: 2*f**3 - 481*f**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((35\/(-300))\/(-7))\/((-14)\/(-126))*-1?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*a + 3. Suppose -a*o = -0*o + 12. Let p = o + 14. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -27. Suppose 0*h + 7 = h + 3*n, 2*n + g = 4*h. Let s = 13 - h. Solve 4*a = -4*t + 32, 3*t + 0*t = s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 27*j + 212. Give w(16).\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**6\/40 + v**5\/4 - 19*v**4\/24 - 2*v**3\/3 + v**2 + 22. Let b be x(-6). Solve -3*l = -2*i, -7*l - b = -4*i - 2*l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2396 + 11694. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y**2 - 34. Let p(f) = -16*f**2. Give b(p(m)).\nAnswer: -2048*m**4 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292257632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**3 + 1\/5*q**5 + 0*q - 3\/4*q**4 + 5 - 1\/2*q**2. Solve d(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/40)\/(((-450)\/4)\/5)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 6}. What is prob of sequence xi?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6) - 1)\/((-10)\/240). Let q = 16 - n. Suppose 0 = -3*j + 3*g - g + 9, -g = -3. What is the lowest common multiple of q and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 8 + (-6 - -3) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-252)\/(-27) + -10)*(1 + 2). Let s be ((-1)\/2 + 0)\/(t\/16). Solve -5*i - 7 = h - 21, 0 = 4*i + s*h - 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 15513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -126 - -210. Suppose -2*f = 10, -3*u - f + q = -4*f. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - (-69 + 38 + 8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -236 + 235.834. Let y = n + 0.165903. Round y to 6 decimal places.\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-5 - -3) + (2790 - -6) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 33.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 27 = 4*j. Let x(s) = -s**3 + 10*s**2 - 8*s - 9. Let c be x(j). Is -2 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(((-1)\/(-36))\/(4\/(-8))). What is the highest common divisor of j and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, r: 10}. Give prob of picking 1 r and 3 z.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 45\/10*((-120)\/(-126))\/(-10). Let w be 746\/(-1210) + 2\/2. Let r = 2\/121 + w. Which is the nearest to z? (a) r (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -1\/6 (c) -5\/9 (d) 0.2 (e) 2877\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -62377\/3 or -20793?\nAnswer: -62377\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c - 513*c**3 + 257*c**3 + 257*c**3 + c**3 + c**3 - 3*c**3 + 0*c + 2*c**3 + 0*c + (2*c - c + 0*c)*(2*c**2 - 2*c**2 + 2*c**2) - 2 + 2 + 2*c**3.\nAnswer: 6*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 13b0?\nAnswer: 13b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 27.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + 0*p**2 - 3*p**2 - 4*p + 4*p + 2*p**2 + (1 - 3 + 0)*(1 + 2*p**2 - 1) + 2 - 2 - p**2 + (-28*p - 28 + 28)*(-2*p + 2*p + 3*p).\nAnswer: -89*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5630870943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1924 and 32.\nAnswer: 15392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 1, m: 1, p: 4, w: 2}. Give prob of sequence mv.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/15)*a**(-33)*(a**11*a)\/((a**(-28)\/a)\/a) assuming a is positive.\nAnswer: a**(131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 - 6. Let m = 1 - -5. Let c be -11*(6\/2)\/3. Let x = 16 + c. Let n(o) = -2*o**3 + 5. Calculate m*n(d) + x*y(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-242)\/132*(1670\/165 + -10)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + -6*(sqrt(300) + -2*sqrt(300)))\/(sqrt(10) - sqrt(120)\/sqrt(3)))\/(((-2*sqrt(294) + sqrt(294) - sqrt(294))*-3 + sqrt(294) + sqrt(294))*4).\nAnswer: -sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.00642 + -9.99358. Which is smaller: z or 84?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 703947.06s?\nAnswer: 195.54085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 20*y - 19. Give h(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**3 - 19124*p**2 + 27592160*p - 10649173312 = 0. Calculate p.\nAnswer: 613, 2084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 9*j + 91. Let k be t(-12). Sort k, 0, -4 in increasing order.\nAnswer: k, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9157901 is divided by 719.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -3, 0, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {x: 3, g: 1, s: 6, t: 7}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 6883 - 6803 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 5*q**2 - q - 6. Let r be k(-5). Suppose 0*p = 3*p. Find the common denominator of p + r + 111\/12 and -23\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 4*v**2 + v**2 - 22*v - 5*v**2 to r*v + h*v**2 + w and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 4, r: 1, t: 2, z: 1}. Give prob of sequence pzl.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.2, 75, 2\/3, -0.6 in decreasing order.\nAnswer: 75, 2\/3, 0.5, 0.2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6.806374 weeks?\nAnswer: 4116494995200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -5) + (1 - (0 - 9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, h: 4}. Give prob of sequence hhhh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3504111 or -8?\nAnswer: -3504111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 100146394?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 12 = 7*x. Suppose -x*c + 37 = -29. Let d = 23 - c. Calculate the greatest common divisor of d and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2961125.\nAnswer: 5, 23689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 2419298209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.0274 + -59.497\nAnswer: -59.5244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.1 - -31. What is the second biggest value in -2, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 20 - -10) + 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1369*z + 3630*z + 192160 + 57509 + 5824 for z.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*z - 10*z**3 + 9*z**3 - 8*z**3 wrt z.\nAnswer: -54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 4910194.\nAnswer: 982038.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-71)\/5*(-52 - -42) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*m + 2*m. Let a(z) = 1 + 2*z**2 + 2*z**2 - 3*z**m - z. What is the units digit of a(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 57 and 1.3?\nAnswer: 74.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49997724*k**2 + 1072721*k - 3 wrt k?\nAnswer: 99995448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**6\/720 + p**4\/2 - 15*p**2. Let f(k) be the second derivative of t(k). Determine f(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-14) - (-951)\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**2 + 43*j**3 + j**3 - 14*j**2 + 2*j**2 - 3*j**3.\nAnswer: 41*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/2 + (-75)\/108 and (59 + 0)\/(3 - (-171)\/9)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -16, -14 = 3*c - 5*c + 2*g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*g - 2. Let i(p) = -p + 1. Let k be i(g). Suppose 3*c + v - 21 = 3*v, 0 = -k*c + 5*v + 25. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) 28 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36380 + 36426. Solve 23 = -23*s - p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -6*h - 6. Let y be i(-6). Suppose -5*x + 5*p = -75, -4*x + 3*p + y = -34. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 4*q - 50 = 0. What is the tens digit of (2 + q\/(-4))*-26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 3*x = 1, 0*k - 16 = -2*k - 4*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, u: 1, d: 3, k: 2}. What is prob of picking 2 u and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2200277 - -125.\nAnswer: -2200152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84441779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -1. Suppose 0 = -4*i - 5*z + 11, -5*i + v*z + 0*z + 23 = 0. Suppose -2*w = i*j - 14, -4*j = -0*w - w + 7. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 + -2 + -1 - (20 - 22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-34)\/8)\/17)\/(1\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 8*g**2 + 7*g + 6. Give u(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 1:09 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -62126, 3, 18, 4, -2 in descending order.\nAnswer: 18, 4, 3, -2, -62126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -58*x + 366. Let i be j(4). Calculate the greatest common factor of i and 1541.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/6 in 0.1, -5, 0.4, -15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 790\/(-300) - (-6)\/45. Put 0.3, f, 14, 1\/2 in descending order.\nAnswer: 14, 1\/2, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(1276\/(-320) - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkokpoooktotoo. What is prob of sequence om?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*m**2 - 2*m**3 - 275*m + 278*m + 14509*m**4 - 14374*m**4 as b*m + i*m**4 + j + z*m**2 + c*m**3 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 + 5*j**2 + 8*j - 12. Let o be w(3). Suppose -h = o*i - 6 - 2, 3*i = 5*h - 22. Solve -i = 2*m + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**4 - 7*u**3 - 14*u**2 + 32*u - 64. Let l(o) = o**3 + 4*o - 8. Let h(r) = -5*i(r) + 40*l(r). Factor h(j).\nAnswer: 5*j**2*(j + 1)*(j + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52854 divided by 8809?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(121)*-1)\/sqrt(11) + (-1*sqrt(11)*3 - -3*(sqrt(11) + 1)).\nAnswer: 3 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - y + 2*y)*(0 + 1 + 4 + 0 + 2 + 0 + (-4 + 5 + 0)*(-3 - 1 + 3) - 5 + 3 + 1 - 2 + 3 - 3).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1420380 divided by -118365.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 + 74 + -38 + 52?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.7 - -15. Let f = 0.7 + j. What is the nearest to f in -2, 5\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 560\/42 - 2\/6. Suppose -c + 3*d = -s, 2 + 0 = -c - 2*d. Solve -a - 5*j - 20 = 2*a, 0 = -5*a + j + c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, 2, 1.2, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 78 = 4*w, -5*w + 2*u + 107 - 21 = 0. Let q = -928 - -1054. What is the greatest common divisor of q and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 371166531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 6:10 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 933, 3628, 8083, 14298, 22273?\nAnswer: 32008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1137.01518 + -1137. Round l to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 123632756?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47236 and 11809.\nAnswer: 47236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s - 0*s. Suppose s = -2*q + 4*q - 32. Let v be q\/42 - 12\/18. What is the second biggest value in -0.5, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3144*m + 2*m**2 - 3221*m + 0*m**2)*(-4*m**2 + 2*m**2 + 3*m**2) as h*m**2 + z + x*m**3 + c*m + l*m**4 and give x.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29021 - -47299. What are the prime factors of j?\nAnswer: 2, 13, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344*b = 346*b - 1402. Calculate the remainder when b is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + 1)*-2 + 0 + sqrt(2) + 0 + 5 + (sqrt(120)\/sqrt(6))\/sqrt(10).\nAnswer: -12*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - u - 1. Let i(k) = -4*k**2 - 6*k - 2. What is i(c) - 6*n(c)?\nAnswer: -10*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 48 = 15*s. Let b be 83\/5 + s\/40. Let g = 1 + 1. Solve n - g*n + 3*x = -2, 4*n - 3*x - b = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 4*s**2 + 4*s - 1. Let p(n) = n**3 - 3*n**2 + 3*n. Let d = 13 - 10. Let w(g) = d*p(g) - 4*v(g). What is w(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17 + -13 + -1 + 35. Let b = 61 - l. List the prime factors of b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*u = -29, -4*u - 3 = -u. Suppose 0 = -b + 1 + 1. Suppose 4*o - o - 33 = 5*m, 0 = 2*o + b*m - 6. What is the remainder when h is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1435*c**5*s**2 - 7*c**2*s**2 - 2*c + 2*s**2 - 4*s - 139 wrt c?\nAnswer: -28700*c**3*s**2 - 14*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15361962 is divided by 80010.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10693 = 87*l - 9910 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/9, 0, 11, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 - 1. Let y = -0.39 + h. Let s = 0.01000007 - y. What is s rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/24 of a minute?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**5 - j**3 - j**2. Let x(w) = -14*w**5 + 11*w**3 + 11*w**2 + w. Let h(i) = -44*c(i) - 4*x(i). What is the second derivative of h(g) wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*3\/(-6)*3. Suppose 0*o - 4*o = x*w, 0 = 2*o + 6. Calculate the smallest common multiple of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -2)\/(-1) - -3. What is the common denominator of (-5)\/(-150) + -1 + 0 + -2 and n\/4*(-412)\/54?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 + 78 = 2*d - 10*s, d - s = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t**2 + 1 + 6*t**2 + 35*t**2.\nAnswer: 23*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(4*(sqrt(11) - sqrt(44)\/sqrt(4)) + sqrt(11)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 3*v - 6. Let t be c(5). Suppose t*d - d = 9. Suppose -2*x + d = -x. Solve -15 = x*u + 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 3\/50*y**5 - 2\/5*y**2 - 4\/15*y**4 + 0 - 2*y + 7\/15*y**3. Factor l(d).\nAnswer: 2*(d - 1)**2*(3*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*n + 4*v, 0 - 2 = -v. Suppose n*u - 12 = 3*u. Let z = u - -5. Solve 0 = -r - 0 + z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-120)*-8*(-17)\/((-8041)\/66).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**4\/7 + 2*h**3\/7 - 13*h**2\/7 + 6*h\/7 = 0. Calculate h.\nAnswer: -2, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2760.186 kilometers in millimeters?\nAnswer: 2760186000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1052775*h**5 + 3*h**4 + 1972386*h**2.\nAnswer: 63166500*h**2 + 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 0.2 (c) 2.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.585 - -0.085. Let g = m + 3.5. Let v = 0.9 - -0.1. Is v > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8392, -16796, -25198, -33598, -41996?\nAnswer: -50392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7915206*g*h*s + 9*h*s - 687170*h with respect to g.\nAnswer: -7915206*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2*((-20)\/15 - 6). Suppose x = u*x - 2810. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 11:32 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18261 is divided by 1178?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + w**2 - 4*w**3 + 3*w**3 - 4*w**2 + 266 - 39 to k*w**3 + o + x*w**2 + i*w and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 362.27 - 358.27. What is the fourth smallest value in 0.4, j, 2\/7, -5, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/2440163 and -123\/208523020.\nAnswer: 2293753220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -37*n + 1. Let g(p) = p**3 + 21*p**2 + 40*p + 39. Let v be g(-19). Calculate l(v).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3*sqrt(17))**2 + 4*sqrt(102)\/sqrt(6))*-3 + 2.\nAnswer: -442 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d. Let g(c) = -47*c + 6. Let s(k) = -39*k + 7. Let o(h) = -5*g(h) + 6*s(h). Calculate m(o(f)).\nAnswer: 6*f + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11022073*q**2 - 32255328.\nAnswer: 22044146*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-290)\/(-14) + (-28)\/(-98)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -571*b + b - 656*b + 32387 - 5415 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.972503ml to litres.\nAnswer: 0.001972503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5, -0.04, 0.5, -17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 36, -1014.\nAnswer: -1014, -6, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24948 + -13892. Let l = -243301\/22 + a. Find the common denominator of l and 49\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2420, -453, -5\/23 in increasing order.\nAnswer: -453, -5\/23, 2420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/5*0 - -5. Suppose -4*o - 2*c = -6*c - 20, k*c + 22 = 4*o. Solve 0*d - o*d = 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + 13628\/(-2254) - 86\/(-989). What is the third biggest value in -0.2, q, -0.11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r - 3*s + 11 = 0, -r = -2*s + 12. Let z = r - -16. Suppose 5*q + 1 = f + 12, -2*q + z = -f. Solve 3*x - 5*h = -h - 14, -h - 4 = q*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1 - 2) + 11 + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273307 is divided by 13014?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**4\/12 + 8*f. Let i(o) = o**2 - 110*o + 110*o. Give i(n(u)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.24.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 637 = 2*o + 655, 1072565 = y + 4*o. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*(-20)\/40 - -16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -7*d**3 + 4*d + 1. Let s(p) = 2*p - 5*p + p - 1 + 4*p**3. Suppose -9 = 24*a - 9. Suppose a = 26*m + 98 - 20. Calculate m*l(y) - 5*s(y).\nAnswer: y**3 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(4)\/sqrt(2))**2*6 + -2) - 3*(-3 + sqrt(200)*2).\nAnswer: -60*sqrt(2) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3\/8 (c) -0.02 (d) -2 (e) -34 (f) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdvxxok. What is prob of sequence xxvk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6322 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -365471 (b) -21 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/2 + -1 + -3. Let j(x) = -2*x - 5. Calculate the remainder when (21 - (11 + -1)) + (-4)\/2 is divided by j(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 y, and 1 o when four letters picked without replacement from {u: 9, h: 1, y: 2, c: 4, o: 2, k: 2}?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(5)*6 + 1*sqrt(5)*-2)*4)**2 + (((sqrt(660)*2)\/sqrt(12) - sqrt(55))\/(sqrt(99) + 2*sqrt(99) + sqrt(99)))**2.\nAnswer: 2257925\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/126 and 89\/1674.\nAnswer: 11718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.4946552 nanoseconds?\nAnswer: 0.00000000002491092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -333152 or 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 38*v**2 - 2*v + 1. Let k(w) = 2*w**3 + 78*w**2 - 5*w + 2. Determine -2*k(t) + 5*r(t).\nAnswer: t**3 + 34*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1916 + -1897. What is the remainder when 51 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5\/2, 3, 4.8.\nAnswer: -0.2, 5\/2, 3, 4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2. Let h(w) = w. Let i(f) = 44*f. Let o(s) = -33*h(s) + i(s). Calculate t(o(y)).\nAnswer: 121*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 l when three letters picked without replacement from {i: 1, j: 2, e: 1, v: 1, x: 2, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*c + 796*c - 589*c - 4752 = 0 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, w: 14}. What is prob of picking 2 i?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 61*r - 305. Give y(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.68 - -0.32. Suppose -2*u + g = -13, 2*u - 3*g = -0*u + 23. Which is the second biggest value? (a) n (b) -2\/13 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 376 divided by -47\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = d + 29, -2*d - 73 = -5*s - 11. Let t be (d*1)\/(-3) + 0 + -2. What is the third derivative of -3*x**2 - 4*x**3 - 7*x**3 + t*x**3 wrt x?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-315 - -318)*4\/(-252)*3*(-2)\/(-7)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79860 and 18150?\nAnswer: 399300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*n - 65 = 0, 3*m - 4*n = 4*m + 19. Suppose 0 = -4*p - 2*j - 30, 4*p = -3*j - 20 - 15. Let c = p - m. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -16. Let q = 310 + -297. Let d = f + q. Sort d, -0.5, 6\/5.\nAnswer: d, -0.5, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -1 - (32 + -24).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2733 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**8\/448 - 2*u**7\/5 - 3133*u**6\/160 + 169*u**5\/40 + 301*u**4 + 784*u**3 + 867*u**2. Let q(o) = 0. What is o?\nAnswer: -56, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 4.97. Let n = -0.57 + x. Suppose 167*j - 345*j = 0. Is n less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**3 + g + 2*g - 2*g - 3*g wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26416 - 52839 + 26423 - z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*w + 2*w - 10 + 35*w as x*w + g and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 2, g: 3, z: 1}. Give prob of picking 1 g and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnjj when four letters picked without replacement from nnjnnnjjnnj?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 3*n - 9*n)*(2 - 2*n - 2 + 3).\nAnswer: 28*n**2 - 42*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110110 - -1000?\nAnswer: 10000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -52*w**2 - 7 - 4*w - w**3 + 12*w + 57*w**2. Does 11 divide j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**2\/4 + 12436*r + 348257\/4 = 0.\nAnswer: -7, 49751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -33, -33.97, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/147 and 52\/399?\nAnswer: 2793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -15 - 159*i + 27*i + 30*i + 44*i + 22*i. Let h(x) = -7*x - 3. Calculate 11*h(a) - 2*j(a).\nAnswer: -5*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 620, 1474, 2330, 3188, 4048, 4910?\n\"Answer: o**2 + 851*o - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22762 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nypy when four letters picked without replacement from {n: 1, d: 4, p: 12, y: 2}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lddlddddld. What is prob of sequence ll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -386 + 907. Let b = 525 - x. Let c(f) = -f**2 - f - 1. Let q(u) = 6*u**2 + 4*u + 5. What is b*c(v) + q(v)?\nAnswer: 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -m + 122, 111 - 490 = -3*m - 2*r. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -261 + 262. Let y = -0.4 + -0.1. Which is the nearest to s? (a) 1\/4 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25 + 29b?\nAnswer: 2c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1944*m - 15*u - 360 = 1944*m, -5*m - 2*u - 63 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-40*(-12)\/384) - 12\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 11*y - 24 = 2, -21*u = -22*u + 2*y - 27 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2*3 + sqrt(153) - -1*(sqrt(153) + -1*sqrt(153) + sqrt(153)))\/(((sqrt(54) + 1*sqrt(54))*-6)\/sqrt(6)).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -12. Let q(p) = 3*p + 21. Let v be q(6). Let o = 34 - v. Is o > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 9*v**2 + 4*v. Is d(9) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/9, -4, 11.53, -154, 4, -13?\nAnswer: 11.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2764\/9 + 1378\/9*c + 2\/9*c**2.\nAnswer: 2*(c - 2)*(c + 691)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1eb8 (base 16) to base 5.\nAnswer: -222424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30001187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 15 = -3*l, -2*l - 3*i - 21 = -6*i. Let u be 82\/l + 2\/3. Let z = 5 - u. 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: Let u(p) = 3*p**2. Let f(z) = z**2 + 4*z - 21. Let m be f(3). Let b(g) be the first derivative of -4 + 1\/2*g**2 + m*g. Determine u(b(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/10 - 30601*r**2\/5 + 305989*r\/10 - 122394\/5.\nAnswer: (r - 61197)*(r - 4)*(r - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838238 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 12*c - 1. Let x be j(3). Suppose 3*i - x + 2 = 0. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/26185318 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 + 53 - 102 + 192*z**4 - 190*z**4 + 2*z - 4*z**3 as t*z + p*z**3 + f*z**4 + q*z**2 + x and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32380 - 29*y**3 - 2*y**2 + 5*y**2 + 22*y**3 + 32380 - 2*y**3.\nAnswer: -9*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225, 267, 337, 435?\nAnswer: 561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5029, 9947, 14747, 19429, 23993, 28439?\n\"Answer: -59*z**2 + 5095*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*(-5 + (-2 + sqrt(19) + (sqrt(19) - sqrt(76)\/sqrt(4)) - sqrt(19))) + sqrt(38)\/sqrt(2) + 2 + (sqrt(931) - 1*sqrt(931) - sqrt(931))))**2.\nAnswer: -6912*sqrt(19) + 33840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 217 - 3?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-3 - -3 - 3))\/4. Solve 3*t + 3*t = -j*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70185 is divided by 271?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -6*b + 98 + 1\/2*b**2. Suppose -4*a - 2*i = -a - 28, 2*a - 17 = -i. What is v(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13186*u - 6428*u - 6758*u + 9*u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31056239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/6)\/(10\/(-360)). Suppose -2*w - 4*w = -j. Find the common denominator of 31\/36 and (-3)\/w*20\/(-3).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427300 is divided by 386?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(2 + 8 + 4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58118.913 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-46)\/5)\/((-1)\/250). Round p to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 73809 and -878.\nAnswer: 72931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9264 divided by 6.\nAnswer: -1544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - -4 - (27 - 10). Is (-3)\/h - (-1910)\/40 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2881.4565 months?\nAnswer: 24.0121375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - 1.6. Let b = m + 15. What is b rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*b + 23*b - 1. Let l(i) = -b - i**3 - 3*i - 7 + 11. Give l(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5949, 6222, 6893, 8160, 10221?\nAnswer: 13274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(1\/28)*f\/(f**(-3\/23)*f))**44)**(-1\/44))**(-1\/50) assuming f is positive.\nAnswer: f**(141\/6440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - a**2 + 1. Let p(g) = 57*g**3 + 3*g**2 - 3. Determine 3*b(x) + p(x).\nAnswer: 54*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**3\/6 + d**2\/2 + 2*d. Let l = 10 - 11. Let h(p) = p**3 - p**2 + 5*p + 5. What is l*h(s) + 5*r(s)?\nAnswer: -s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-20))\/(6\/(-15)). Which is the closest to g? (a) 2 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-35) - (-45960)\/21. Suppose 5*s = -2*t + u, 3*s + 2*t = -2*t + 1319. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 + -56. Let u be ((-805)\/92)\/((-5)\/12). What is the greatest common divisor of i and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*q + 814 = -8173 + 1461 for q.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 2815 - 502. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -462 + 3018. Suppose -w = -4*l + 1284. 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: Collect the terms in 0*p**2 + 0*p**2 + 66*p**2.\nAnswer: 66*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-48)\/(-40))\/(2\/(-30)). Is (i\/18)\/((-2)\/298) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 3*w**2 + 8*w + 7. Let l(m) = -23*m. Let a be l(-3). Calculate the remainder when y(-6) is divided by ((-18)\/54)\/((-1)\/a).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 35030*l**3 + 2*l**2 + 4*l - 2. Let j be x(1). Let u = -6133 + j. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 15*q + 28. Calculate the remainder when 26 is divided by k(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -5)\/(-183 + 182). Let y = -0.05 - 2.95. What is the nearest to 1\/4 in y, j, -23?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6314 is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -393.605 times -0.07?\nAnswer: 27.55235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/(i*i\/i**(-18))*i*i))\/((((i**(-39)*i)\/i)\/i)\/i))\/((i*(i\/(i*i**33*i)*i)\/i)\/i**(-28)) assuming i is positive.\nAnswer: i**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o**3 - 3\/4*o**2 + 1\/4*o**4 - 1\/2*o + 0.\nAnswer: o*(o - 2)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 778871.7ml in litres?\nAnswer: 778.8717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, u: 10}. What is prob of picking 1 w and 1 u?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4951494 to the nearest integer?\nAnswer: 2225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-3 + 1)*3. Let f(z) be the first derivative of z**3\/3 - z**2\/2 + 27*z + 2. Let l be f(0). Solve -j*i + 31 = d + 2, 3*i = -3*d + l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-135))\/(14\/(-21)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2*i - 4 - 44 + 3*i.\nAnswer: i - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932247 is divided by 288.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 8. Suppose -10*s - 12 = -11*s. Let v be w(s). Suppose 13 = 3*z + v. What is the smallest value in 0.1, 0.2, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48540*l = 48381*l + 3021 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(-1*sqrt(1296)))**2.\nAnswer: 5\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000007261992 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1)*(8 + 39). Let c = 119 - w. Suppose -3*y - y = -c. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42b9b (base 13) to base 12.\nAnswer: 59981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 7:14 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 5. Let w(h) = h + 1. Let s(r) = -8*r - 4. Let g(n) = -2*s(n) - 22*w(n). Give 6*g(v) + 17*l(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pew. What is prob of picking 1 e and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 2 - (-7 - (13 - (13 - -16))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 39. Sort 2, x, -15 in ascending order.\nAnswer: -15, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18113*0.24.\nAnswer: 4347.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*n + 4*n + 362, 2*n + 2 = 0. Suppose -4*t = -2*t - l. What is the greatest common factor of t and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 923185758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23877*(-3)\/(-12) + 18\/(-72) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 8*c + 5. Let t(m) = -22 - 2*m - 2*m + 20. Calculate 5*t(r) + 2*x(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - 0) + -35 + 14 + 22?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + d = -d - 20. Solve -5*t - 4*c + 11 = 0, 0 = t - 2*t + c - d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -219, -727, -1707, -3315, -5707, -9039?\nAnswer: -13467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4276127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6874 + 119.\nAnswer: 118.3126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -132 < -127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 7. Let u be 2\/6 - (-59)\/(-9). Let s = u - -710\/117. What is the second smallest value in -4, s, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 127426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 79, 4, 2, -18, -23.\nAnswer: -23, -18, 1, 2, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(((-1521)\/(-6))\/39 + (1 - 7)). Let o be ((-6)\/2)\/(0 + 1). Let g = o + 3. Solve i + c*i - 5 = g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -10*t - 4. Let p(j) = -5*j - 2. Let g(m) = 5*p(m) - 3*q(m). Suppose 0 = l + 5 - 3. What is g(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31620256 divided by -15086.\nAnswer: -2096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46479 is divided by 15488.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.9 + -6. Which is the closest to -1? (a) u (b) -0.4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 - (1 + (-2 - -1)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221101 - 10?\nAnswer: -1221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 less than 27836947398678?\nAnswer: 27836947398678.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 4 = -32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2001 + -2002.9024. Let m = u + 1.85. What is m rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, x: 6, n: 2, r: 3, b: 1}. Give prob of picking 1 x and 1 n.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1336539, -1336541, -1336543, -1336545, -1336547?\n\"Answer: -2*u - 1336537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -15*9 + 0\/(-17). Suppose 2*j + 2*j = -232. Let v = j - o. Calculate the highest common factor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1977 + -1077. What is y rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*t + 8*t - 8*t)*(19*t - 197 + 126 + 80).\nAnswer: 323*t**2 + 153*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/5, 0.0407, 0.1, -2\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -3033, -4415, -5797, -7179, -8561, -9943?\nAnswer: -11325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*u - 42 = 58*u. Put 3, -4, 4, u in decreasing order.\nAnswer: u, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/3))**1*((d*d**7)\/d)\/d*d**(-2\/11) assuming d is positive.\nAnswer: d**(236\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25393 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 69, 95, 107, 99?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 18\/113, 2\/23, -0.5, 51, -4\/5 in decreasing order.\nAnswer: 51, 18\/113, 2\/23, -0.5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 18*p - 14*p + 39008 = 0, -3*b + p + 29260 = 0. What are the prime factors of b?\nAnswer: 2, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 18 = 21. Let k be -3*((-3)\/s - 2). Sort 4, -1, 1, k in increasing order.\nAnswer: k, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/14*-2)\/(2\/(-7))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-10) + 224\/(-70). Let z(l) = -l**3 - 3*l**2 + 4. Let i be z(x). Calculate the smallest common multiple of (i\/12)\/((-3)\/(-36)) and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 265316563321.52799975 - 265267383248.528. Let z = h + -49180067. Let c = 6 - z. What is c rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 10*v**2 + 9*v + 2. Let c be o(9). What is the third derivative of -2*p**2 + 10*p**c - 3*p**3 + 28*p**3 + 10*p**2 wrt p?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -827*b**3*i**2 - 2*b**2 + 208*b*i**2 - 9*b*i wrt b.\nAnswer: -4962*b*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c**2 - 16*c**2 + 0*c**2 - c**2 - 23*c**2.\nAnswer: -49*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 80, 169, 272, 389, 520?\n\"Answer: 7*i**2 + 68*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 68.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (68 + 4)\/4 + -2. Suppose 66*n - 70*n + b = 0. Let w = 6 + 0. Solve -3*k - 4*c - 10 = -w*k, n*c = -k - 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/3)\/((16\/40*-5)\/(-6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f + 120. Let c(a) = 6*a + 121. Let z(v) = -5*c(v) + 4*d(v). What is the remainder when 130 is divided by z(-24)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.45 - -22.45. Let h = c - 22.045. What is h rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/5 (b) 1\/4 (c) 58 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3 + 251338*y**2\/3 + 1536652*y - 3185008\/3 = 0. Calculate y.\nAnswer: -19, 2\/3, 41908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (4 + 2 - -1) - (-12 + -2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 246*o**2 - 44*o - 90. List the prime factors of g(-2).\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -5*b + 104. Suppose -3*t - 3*w = -6*t + b, t + 3*w = 15. Suppose -o + t = 2*o. Solve o*d + d = 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/54)\/(2\/1272). Suppose -2*i + 22 = -c. List the prime factors of i.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 240321 - 10213?\nAnswer: 230103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 16*n**2 + 151*n - 48. Give u(24).\nAnswer: -1032","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 1:28 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(-2 + 4\/(-8)). Suppose -4*c + f + 20 = 0, f - 4*f = -3*c + z. Suppose c*k = -5*d + 7*d - 54, 3*d - 4*k - 74 = 0. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -209 (base 12) to base 4.\nAnswer: -10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2724 and -417.\nAnswer: 113.5908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -5*d + 45, 4 = 2*d - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -b + 47. Solve -b*q = 2*f + 9 - 3, 5*f + 2*q + 18 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-2)\/(-2) + 16. Suppose -5*m = -9*m + 20. Suppose m*s - 4*t = 68 - 22, 5*s - 47 = 3*t. What is the greatest common factor of g and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -284, -381, -436, -443, -396, -289, -116?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + (sqrt(832) - (1 + sqrt(832)))*-6 + 0)*2)**2 + (-2 + sqrt(832) + -1 - ((sqrt(832) + -1*sqrt(832) - sqrt(832))**2 + 3 - sqrt(832))).\nAnswer: 400*sqrt(13) + 2634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8b1ca9 (base 13) in base 3?\nAnswer: 20012002111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 63746672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32746901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1303\nAnswer: 260.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1036290 - 0.4.\nAnswer: -1036290.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 481194 and 12194.\nAnswer: 6255522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*-2 + -3)**2.\nAnswer: 48*sqrt(13) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.6 + -7. Let d = z - 3.599989. What is d rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + n - 10. Let a(j) = -2*j + 4. Let i be a(4). Let r be u(i). Solve -c = -2*c - r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 30. Does 12 divide 5 + q - (-50 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79520*u**2 - 79520*u**2 - 12*u**3 + 749*u.\nAnswer: -12*u**3 + 749*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 + 47*f + 169. Let b be z(-3). Solve 2*v = 4*x, -5*x - 2 - b = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*w - 32*w - 13*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -385593, -771178, -1156753, -1542318, -1927873, -2313418, -2698953?\n\"Answer: 5*t**2 - 385600*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a meter in centimeters?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 23 + 6. Suppose -7 = f - m. Let b = -20 + 39. Calculate the remainder when b is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(98) + 1)**2 - (-5 + sqrt(98) + -4)**2) + 1*(2 + sqrt(98) + -5 - sqrt(98)*1*3).\nAnswer: -83 + 98*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(13) + 2 + -5)**2 - (0 + sqrt(39)\/sqrt(3)))*-6.\nAnswer: -137 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = i - 0*i + 5*a, i = 3*a + 14. Let f(d) = -50*d + 156. Calculate the smallest common multiple of (-161)\/(-28) - (-2)\/i and f(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.7014131 years?\nAnswer: 8.4169572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 4:04 AM?\nAnswer: 146","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -2306.783 rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 4*h**5\/165 + 5*h**4\/44 + 7*h**3\/33 + 587*h**2 - 2*h. Factor r(t).\nAnswer: 2*(t + 1)*(8*t + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30050568?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 38. Suppose 3*i - 5*i = 0. Solve -x - y + 5 = -i, x - q*y = -7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1496 and 123062456?\nAnswer: 123062456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 2*b. Suppose b = 5*c - c. Suppose 131 = 2*q - 2*f + 19, c = 3*q - f - 170. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3}. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m - 33. Let y be z(6). Suppose y + 0 = h. Find the second derivative of -h*x**3 + x**3 - 4*x - 17*x wrt x.\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-50)*(-50)\/16*8\/(-4).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1.4, -0.3, 0.3, 9\/671?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11280483.92 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13877143 (base 10) in base 6?\nAnswer: 1213234011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 10:36 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138868486*q**2 + 232702502*q wrt q?\nAnswer: -277736972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*v**2 + 2476*v - 496 = 0. What is v?\nAnswer: -124, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 13. Let o = -0.047 + 0.029. Let q = -2.982 + o. What is the closest to 4 in a, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-320)\/(-560) - (-36)\/(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11430 (base 7) in base 2?\nAnswer: -101110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03 or -15\/182?\nAnswer: -15\/182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3337160 is divided by 1132.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 4*s**2 + 2*s - 4. Let h be f(4). Suppose -3 = -n - 3*b, -7*b + 3*b + 30 = -3*n. Let l be h\/6 - 26\/n. Solve 2*j + 9 = l*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/1*(-1 + 20\/8). Suppose -18*g + 27 = -p*g. Let v be 3\/(-27) + 2\/6. What is the third smallest value in -11, g, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**19\/k*k*k**(-9)*k)\/(k**(-6)*k**(6\/13)\/k*k) assuming k is positive.\nAnswer: k**(215\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4044950064 to the nearest integer?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*f + 3*m - 12, -2*m = 2*f + 4. Let q = -29 - -27. Sort -1, q, f in decreasing order.\nAnswer: -1, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 342*w + 2151. Let n be y(6). Solve 68*o - n*o + 30 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/(-20)*936\/(-351)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 7*h**2 + 5*h - 35. Suppose 3*z = 3*g + 15, 5*g - 2*g - 13 = -z. Let a be f(z). Solve -4*b = -a*b - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/9 + 36*m**3 - 346*m**2\/3 - 7760*m\/9 + 8800\/3 = 0.\nAnswer: -165, -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*u - 24 = -9, u - 10 = -3*i. Suppose 3*z + 4*y = 340, -6*y = -2*z - 3*y + 221. Suppose -4*c = -z + 20. Sort 1, c, i.\nAnswer: 1, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 76*b + 384. Let w be m(34). Calculate the highest common factor of 1134 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*m + 2*k + 247, 58 = -m - 5*k. Let s be (8 - -2)\/(41\/m - -1). Let y = s + -151. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 36 (b) 2.3 (c) -4 (d) -2 (e) -2\/5 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -18*q + 52*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 divided by -125?\nAnswer: 87\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2809 is divided by 500.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12.4, 0.4, 1, -23.7, -1.8 in decreasing order.\nAnswer: 3, 1, 0.4, -1.8, -12.4, -23.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2634)\/4*120\/(-18) + -1. Suppose 2*w = -5*b + p, 2*b + 4*w + w = 1764. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 10:32 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41.024 - 41. Let m = c - 13.024. What is the closest to m in 5, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -77*a + 1302. Let t(g) = -2*g + 31. Let r(d) = 42*t(d) - v(d). Let o(n) = 311*n**2. Determine o(r(j)).\nAnswer: 15239*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002968400556 rounded to 5 dps?\nAnswer: -0.00297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r + 645 = 5*m, -122 = -m - 2*r. Let i = m + -48. Calculate the least common multiple of 18 and i.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*f + 5*f = -232 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -11*u - 15*u + 111 + 8*u**2 - 135 = 0.\nAnswer: -3\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76 + 2*m**2 + 3 + m - 22 - m**2 to p*m**2 + c + u*m and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmkk when four letters picked without replacement from mkkmkkkkk.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 2)\/(7 + -13)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-10) + (-2)\/4. Let n(v) = 2*v**3 - 2*v + 4. Let w(z) = z**3 + z**2 + 1. Let k(q) = u*n(q) - 4*w(q). Factor k(c).\nAnswer: -2*c*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(65) - (sqrt(65) + (sqrt(65) + sqrt(65)*-1 + sqrt(65) - sqrt(65))*5) - sqrt(65))*-3)\/(-1*sqrt(125) + sqrt(80)*-3).\nAnswer: 12*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*z**3 - d**3*z + 12*d**2 - 615092631*d*z**3 + 6*d*z**2 + d*z - 654*z**2 + 20 wrt z.\nAnswer: 6*d**3 - 3690555786*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -508588\/9 - -56510. Factor v*s**2 + 4\/9*s - 2\/9*s**3 + 0.\nAnswer: -2*s*(s - 2)*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/251402 and 63\/10?\nAnswer: 1257010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-10)*(-21 - (-869)\/44).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 take away 87032.4214224?\nAnswer: -87262.4214224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8525745\/2 or -4262872?\nAnswer: -8525745\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/48)\/(0 + 1).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 352*m - 343*m. Put -5, m, 2, 3 in ascending order.\nAnswer: -5, m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3181\/(-1491) + -4 + -2 + 7. Let h = o + -2\/213. What is the smallest value in 1, -0.5, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 - 2505*m**3.\nAnswer: -5*m**3*(m + 501)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 511629 by -857.\nAnswer: -597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -123*b**2 + 837*b - 579. Give a(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((90\/(-4))\/3)\/((-1791)\/2388). Put 3, -11, c, 1 in increasing order.\nAnswer: -11, 1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k = 47579 + 41944. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49 - 4) + (26 - -114) + 0 + -6?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 779*91\/3731 - 42\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b9 - 18?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.2852 times -0.2?\nAnswer: -1.65704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.6 - -22.6. Which is the nearest to -3? (a) 6 (b) 0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -35483\nAnswer: 8\/35483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 3*m**2 - 9. Let o be c(6). Let g = o + -57. What is the greatest common divisor of g and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5*sqrt(975) + sqrt(975)))\/((sqrt(3) - 1*sqrt(75))*-2).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14ba (base 14) to base 5.\nAnswer: -104232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(84\/49819) - (-2)\/(-6)?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1937 is divided by 69?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y**2 + 2*y**3 - 4*y**2)*(-4 - 11*y - 66*y + 3) to the form w*y**2 + f + c*y**3 + o*y + g*y**4 and give g.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**4\/2 - 29*j**3\/3 - 13*j**2\/2 + 21*j + 101. Determine l(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3229 equal to 3233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 15) to base 8\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v**2 + 69*v - 380. What is o(-11)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7248522 a multiple of 857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -149 - 113*o**2 + 149. Let a(v) be the first derivative of 2*v**3\/3 + 135. Calculate a(n(g)).\nAnswer: 25538*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1118 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**4 + 420*o**3 + 7232*o**2 - 25584*o = 0.\nAnswer: -82, -26, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/7*66\/(-44).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305, 301, 295, 287, 277, 265, 251?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 3.6. Let g = r + 24. Which is the third smallest value? (a) 0.8 (b) 1\/5 (c) g (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 plus -10.85?\nAnswer: 119.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j**3 + 5*j**2 - 2*j - 7. Let d be v(3). Let r = 98 + d. Let q = -4.08 + 0.08. Which is the closest to q? (a) 3 (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**2 + i. Let n = -18 - -14. Let t(g) = 11*g**2 - g. Let j(u) = n*t(u) - 9*k(u). Find the second derivative of j(w) wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.501559 millennia to centuries.\nAnswer: 95.01559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85495, 341579, 768385, 1365913, 2134163, 3073135?\nAnswer: 4182829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*v + 12, 0 = 4*v - v + 15. Let o be l\/1*(4 + -4). Find the second derivative of s + 2*s**2 - s**2 + o*s wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7591.162 millennia in centuries?\nAnswer: 75911.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 8 = -2*y, y + 0*m - 20 = -5*m. Suppose -b - 3*f + 7 = y, 7 = 2*f + 5. Solve -r = 2*i - 10, -2*r = -0*i - b*i + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 1, 25796, -1, 4, -3, -1\/6 in increasing order.\nAnswer: -3, -1, -1\/6, 1\/7, 1, 4, 25796","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 4\/13 (c) 0.5 (d) -2 (e) 20465 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f + 17. Let p(i) = -1. Let j(s) = -4*p(s) - q(s). Let d be j(-7). Solve d = 4*x - 4, u = 5*x - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 361, 716, 1071, 1426, 1781?\n\"Answer: 355*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 t when two letters picked without replacement from itfmv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1 = 1. Let q be (-6)\/24 - (-38)\/56. What is the third biggest value in v, -5, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5044558, -5, -4.\nAnswer: -5044558, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3233 (base 9) to base 10.\nAnswer: -2379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1233 + -1126. Calculate the remainder when 1170 is divided by o.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3718.5 to the nearest ten.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -91 - 24. Let h = l - -25. Solve 3*m + 2 = h*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 44*n + 23 - 21 + 14*n. Let u(i) = 56*i + 1. Let w(a) = 3*u(a) - 2*x(a). Let y(s) = -s**2. Calculate y(w(r)).\nAnswer: -2704*r**2 + 104*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -4, -3, 10 in increasing order.\nAnswer: -4, -3, 1\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1726?\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 121866078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3536*r**4 + 4822 with respect to r.\nAnswer: 14144*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -17*y + 2. Let o(g) = 13*g - 3. Let z(m) = -5*l(m) - 4*o(m). Let q(f) = 6*f. Give q(z(h)).\nAnswer: 198*h + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-198)\/(-297)*((-306)\/(-20))\/(((-96)\/(-20))\/(-8)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*x = -5*t + 3259, t - 811 = 2*x. Let w = 543 - 70. Suppose 3*s - w = t. Is 59 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/2 - 4\/(-4). Solve -1 = -n - f*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(17) + 1)*-1)**2 + -3.\nAnswer: -4*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - 2*w**2 + 2*w**2)*(-2 + 2 - 1).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32943835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -49 - 83a?\nAnswer: -888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -17*m**2\/2 - 4*m - 18. Let b(n) = -2*n. Determine h(b(r)).\nAnswer: 34*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -733 + 3663\/5. Which is the smallest value? (a) g (b) -3\/4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 21*z + 45. Let k be l(19). Suppose -k = -5*r + 4*d, 2*d - 2 - 8 = -2*r. Solve r*j - 1 = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, 2, 9, 20, 35?\n\"Answer: 2*c**2 - 3*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 10:23 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 0*k**2 + 3 + 3\/4*k**4 + 6*k + 0*k**3. What is the derivative of v(o) wrt o?\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 378648 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 214123 = 3*h + 17180, 8 = -4*h. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2820, 5593, 8314, 10983, 13600, 16165, 18678?\nAnswer: 21139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 347731 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-30)\/14)*3. Suppose 4*n = 6*n - 4*i + 8, 0 = 3*i - 3. What is the third biggest value in t, 1\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -16. Let v = 3 + -2. Suppose 1773*q - 1768*q = 25. Solve v = q*a - j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((5 + -6)*1)\/(44\/(-968)). Suppose 6*b - b - 5 = 0. Let j be ((-22)\/(-3))\/(b\/24). Calculate the highest common factor of n and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1371\/112 - -1347\/16. Factor 855\/7*q**2 + a*q**3 + 12\/7 + 192\/7*q.\nAnswer: 3*(q + 1)*(15*q + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48575 divided by 3.\nAnswer: -48575\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, 2, -10, 1, -25 in decreasing order.\nAnswer: 5, 2, 1, -10, -14, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309263, 1237060, 2783393, 4948262?\nAnswer: 7731667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*n = 25, -10 = -3*u - 5*n + 30. Suppose -u*m + 260 = -5*p, 4*m - 4*p - 187 = -7*p. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 29*c - 6. Let k be m(2). Let j = k - 48. What is the least common multiple of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-6)*-1 - -2. Let x = 0.24 - 3.24. Let r = 1568\/5 - 314. What is the biggest value in l, r, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 9 = 4*g, -4*g = 2*n - 3*g - 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1720279990 divided by -344055998?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**2 - 5*k. Let x be j(4). Let r(v) = -76 - v + x. Let s(g) = 9*g**2. What is s(r(y))?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from uzzuzzu?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmlm when four letters picked without replacement from {m: 2, l: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3928 + -3927. Which is the closest to 4? (a) w (b) -3 (c) -1 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s = -24. Let f(u) = 20*u**3 + 23*u**2 - 9*u - 5. Let n(t) = 7*t**3 + 8*t**2 - 3*t - 2. Let p(l) = s*f(l) + 17*n(l). Does 8 divide p(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -9\/28*a**4 + 9\/14*a**2 + 83 + 2\/7*a + 2\/21*a**3 - 4\/35*a**5. Let o(d) = 0. Calculate d.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.44892 rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, p: 3, t: 1, s: 4, c: 1}. What is prob of picking 3 z?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 37 - 5*y**2)*(0 + 0 + 2*y) + (-4*y**2 + 7*y**2 - 4*y**2)*(4*y - 2*y - 4*y).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 13*g + 9. Let o be q(-13). Let f be (-3)\/o + -2 + (-956)\/12. Let v = f - -131. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 47. Is (b*463)\/(11 + -10 + -2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 178422 and 5902?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 - 107.5. Which is the closest to 3? (a) 4 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, e: 2, x: 1}. Give prob of sequence zxee.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 - (-5 + 15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39885312611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -9. Suppose 5*h - h = 3*u + 47, r*h - u = 45. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (1 - -2))*-5. Suppose -t + 193 = 12*b. What is the remainder when 81 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14123118 is divided by 50260?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 37, -4, -2 in descending order.\nAnswer: 37, -2, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 3, 0, 1, 56 in ascending order.\nAnswer: -32, 0, 1, 3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 144 - 144.071. Let c = 0.62 - 0.589. Let u = k - c. Round u to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 3*b**2 + 6*b - 10. Let g be y(-9). Let o = -265 - g. What are the prime factors of o?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/35501 or 0?\nAnswer: 2\/35501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 - 75. Let i(z) = z**3 + 15*z**2 + 5*z + 18. What are the prime factors of i(r)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/8*232\/(-406)*14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 6)*(-17*v + 4*v + 0*v).\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = -8*f - 105. Does 5 divide (3 + -11 - f)*43\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 s when three letters picked without replacement from {s: 14, e: 1, f: 2}?\nAnswer: 91\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-3)\/(5 - 2). Suppose -5*f + 2*i - 1 = -0*i, 4*f + 2*i - 10 = 0. Suppose f = p - 2*p. Put 0, p, n in descending order.\nAnswer: 0, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3390?\nAnswer: 2, 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2132 + 0.0032. Let f = 1.31 + v. What is the nearest to f in 1\/9, -2, -0.4, 7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*t - 19*t + 20*t**3 + 57*t - 2*t**2 - 23*t - 3 to x*t**2 + b + u*t + c*t**3 and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3862091010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 772*g = -180*g + 31080 + 11760 for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4079, 7, -3, 11 in increasing order.\nAnswer: -3, 7, 11, 4079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 57, 40, -2, 4 in increasing order.\nAnswer: -71, -2, 4, 40, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3928283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Let h = -6 - -7. Which is the second biggest value? (a) f (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y. Let d(r) = -r**3 - 26*r**2 - 25*r - 4. Let w be d(-25). Let j(l) be the first derivative of -5*l**2\/2 + 4. What is w*g(i) - 3*j(i)?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 93711 or 203?\nAnswer: 93711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 168 = 72. Solve 3*y - 2*y + s = 8, -h = -3*y - s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4163*j + 21 = -3*y + 4168*j, 3*y - 2*j + 12 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i - 31*i + 3 = -2*s, 0 = 5*i + 5*s - 45 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1642565955?\nAnswer: 3, 5, 2251, 48647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1890 and (-8 - 580\/(-70)) + (-24)\/(-14).\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.037065253+-1.1\nAnswer: -1.062934747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 1 = 3*c, 0*c - 2*c + d + 9 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 47*q + 1859. Calculate r(-41).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 3*k + k)*(-4*k**3 + 3*k**3 + 3*k**3) + 0*k**4 - k**4 - k**4 - 2*k**2.\nAnswer: -8*k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2256 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21062, -21041, -20998, -20939, -20870, -20797, -20726, -20663?\nAnswer: -20614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 198688 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159079?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1079 + 15*g**3 + 1079.\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-4)*g))\/g**(-1\/24)*((g\/(g*g*g**(2\/33)*g))\/g*g)\/g*g\/(g**8*g) assuming g is positive.\nAnswer: g**(-1853\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(30\/9))\/((-3)\/5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3719306 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o + 2. Let m be z(4). Suppose 2*u + 2*u = 40. Suppose -2*g = u, -2*s + 0*g = -2*g - 100. Calculate the highest common divisor of s and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9135 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t + 13. Let i be h(7). Let q be (-3 - -1)\/(-2)*i. Suppose -2*m - 12 = -6*m. Put m, 4, q in increasing order.\nAnswer: q, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12695, -25562, -38417, -51254, -64067, -76850?\nAnswer: -89597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t - 1. Let k be -3 - -5*(14 - 13). Let o(n) = 5*n + 2. Determine k*c(r) + 3*o(r).\nAnswer: 3*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 17*c + 21. What is the units digit of a(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + sqrt(76))*1*4)**2*6.\nAnswer: -2304*sqrt(19) + 44352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3520 + 3530. Solve 5*f + 5*d - 2*d - s = 0, f + 5*d = -20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6131016 and 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6178363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1801542292 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59403452 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010011101100101000 (base 2) in base 11?\nAnswer: 87041a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1390924572?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 12*c - 7. What is u(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 1714, 4361, 8080, 12871, 18734?\nAnswer: 25669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 10844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o - 40. What is r(-11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 2. Let z = -2 + j. Let m be (z + -1 - -1) + -2. What is the smallest value in m, 1, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14171?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5 - (17 - 1)) + 24 - 20 - -7) + 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(35) + (-4*sqrt(875) - sqrt(875)))\/sqrt(5)*4 - (-5 + -3 + sqrt(175) + 1)))**2.\nAnswer: -1818*sqrt(7) + 71488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 114*d + 1902. Let l(y) = 17*y + 272. Give -3*i(p) + 20*l(p).\nAnswer: -2*p - 266","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*p = -6*b + 5, 3*b + 5*p = -5. Suppose 5*w + 3*n = 16, 5*w - 3*w = -4*n + 12. Suppose 0 = -3*y - 3*t, 1 - 5 = 4*t. Solve -y = w*c + b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98171\/4 + 24543. Factor -75*u + 15\/2*u**2 - f*u**3 + 250.\nAnswer: -(u - 10)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2. Let w(h) = -25986*h. Calculate w(p(f)).\nAnswer: 51972*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 b when three letters picked without replacement from {b: 1, o: 1, u: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127432*d**5*y + 2*d**3*y - 3*d**2*y - 190*d**2 - 265*d*y + 2 wrt d?\nAnswer: -7645920*d**2*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 - (-7)\/2. Let n = -6 + 8. Suppose n*z - 5*z + 762 = -3*k, -i*z = 2*k - 1046. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + 32. Let m = -6 + 41. Let g = t - m. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -890, -6961, -23362, -55259, -107818, -186205, -295586, -441127?\nAnswer: -627994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107 + -228. Let v = -73 - l. What is the greatest common divisor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50644 take away 679?\nAnswer: -51323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 + (81 - (-38 + 48))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 1. Let h(v) = -39*v - 78. What is 78*d(y) + h(y)?\nAnswer: -117*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 2. Let d(x) = 11*x - 15. Give d(w(b)).\nAnswer: 11*b - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10\/(-6) + 4 + 6640\/24 is divided by 71.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjj when three letters picked without replacement from jjzojjjzzz.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*(5 + -3 + 2 + sqrt(108)).\nAnswer: -24*sqrt(3) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 4*q - 64 - 204, 0 = v - 5*q - 37. What is the greatest common divisor of 279 and v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4\/3 (b) 4 (c) -840\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/21 + -4 + 4. Let t = -0.2 - 0.3. What is the nearest to -1 in t, z, 3\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 3 - (4 + 12 - 12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h + 3. Let z be (1 - 3\/2)*10. Let n be ((-2)\/(-4))\/(3\/12). Suppose n*b - v = -10, 8*b - 5*v + 30 = 3*b. Let i(f) = -3*f - 2. Give b*g(s) + z*i(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-42)\/(-105))\/(2\/100). Suppose -22*m + n*m = -46. What is the derivative of -1 + m - 9 - 10 + 9*i wrt i?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1412233?\nAnswer: 103, 13711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.2459 rounded to one decimal place?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 253\/1852 or 0?\nAnswer: 253\/1852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r**3 - 1. Let c be a(-1). Let b(i) = i**3 - 4*i**2 - 3*i + 1. Let p be b(5). Suppose -2*l = 1 - p. Solve o - 2*j + 3 = 8, 0 = -o + c*j + l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63 less than -93.886763?\nAnswer: -93.256763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8509 - -0.0489. Let p = o + 0.8563. Round p to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-70)\/(-161))\/10?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*s**3 + 1\/4*s**2 + 3\/4 - 5\/4*s.\nAnswer: (s - 1)**2*(s + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33672763 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (0 + 31\/((-310)\/(-60)))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120639091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-653*t - 383*t - 350*t)*(-2*t**3 + 3*t**3 + t**3).\nAnswer: -2772*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1692 and 132.\nAnswer: 18612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2135846774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhmlumqsmqsum. Give prob of picking 1 s, 1 m, and 1 h.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111 + 12?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-123)\/205 - (-14)\/(-10). Let v = -0.9 - -0.4. Which is the biggest value? (a) y (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(117*l**4 + 43*l**4 + 132*l**4) as w*l**3 + o*l**2 + m*l**4 + q + n*l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226859021 - 4*w**2 + 3*w**2 + 226859021 + 0*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5542159l to millilitres.\nAnswer: 554.2159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*i - 6*i + 1918 + 476 = 0 for i.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - -2 - (1 - 1). Suppose -4*z + 0 + 12 = 3*j, j = -v*z + 6. Suppose -n + 5*x + 6 = 0, 3*x + j = 3. What is the remainder when 30 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -116, -37, 14\/11?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499675*q + 5 = -5*n + 499673*q, 0 = 16*n + q + 43 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11076 divided by 5538\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2 (b) -8.8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, 0, 1.\nAnswer: -3, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.1747 - 0.2823. Round u to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -347\/15 + 116\/5. Let u(f) be the third derivative of m*f**5 + 1\/6*f**3 + 0*f + 0 + 5\/24*f**4 - 2*f**2. Factor u(y).\nAnswer: (y + 1)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -131.9 - -130.9. Let z = -1 - 1. Which is the closest to s? (a) -20 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*303\/(-6)*(-3534 - -3533)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8846 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*w. Let q be (3 + 3)\/3 - w. Let v = -73 - -76. Put 0, v, q in decreasing order.\nAnswer: v, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 + 2*f**2 + 2*f**2)*(2876*f**3 + 3*f**2 - 2*f**2 - 2938*f**3).\nAnswer: 62*f**5 - f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2812 divided by -38?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-4\/5)*v))**(-2\/19)\/(v\/((v**(2\/11)\/v)\/v)*v**(-3\/16)) assuming v is positive.\nAnswer: v**(-43633\/16720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l - 235*l - 1 - 493 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*k**4*o**2 + k**4*o + 12*k**2 + 23*k*o**2 + 6*k*o - 2*o**2 wrt k.\nAnswer: 72*k**2*o**2 + 12*k**2*o + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/7 - (1 + 144\/(-14)). Suppose 4*d - 129 + b = 0. Let u = d + 94. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 4*b**2 - 2*b + 15. Let m be d(-5). Suppose m*j + 35 = -5*j. Let s = 15 + j. Solve -20 = 3*h - s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 12*b**2 + 11*b - 108. Let h be z(12). Let x be ((-74)\/24)\/(-1) - 2\/h. Solve x*a + 5*j = 13, a - 2*a - 2*j + 6 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + k - 168*k**3 - 154*k**3 + 4*k**2 + 336*k**3. Let b(j) = 14*j**3 + 6*j**2 + j. What is 7*b(s) - 6*r(s)?\nAnswer: 14*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 7:20 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0.3 (c) 207 (d) -1\/4 (e) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17802*m**3*v**4 - 22*m**3*v**2 - 19*m**3*v + 6889*m**2*v**4 + 2*m*v - 2*m - 1300*v**2 - 1 wrt v?\nAnswer: 427248*m**3*v + 165336*m**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s - 4*r - 59, 0 = -5*s - 4*r + 247. What is the remainder when s\/(-2)*(-4 - -2) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*h = 68, -3*h - h = 3*t - 85. Let s(l) = 10*l + 233. What are the prime factors of s(t)?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) -0.3 (b) 13 (c) -0.4 (d) 1 (e) 0.64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 2)*(-9 + 3 - 8)*(-2*u + 2*u + 2*u)*(-2*u - 1 + 1).\nAnswer: 224*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v - 121. Calculate o(-31).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((185\/1850)\/((-4)\/10))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-9))\/(4\/6). Let a be 6\/(-4) + 5\/v. Suppose -9 = -2*d - a. Solve -4*k + 2*k - d = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/6*(1 - 4). Suppose -4*z - 16 = 0, 3*z = -3*a + a - 14. Sort w, 1, a.\nAnswer: a, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-930)\/190 + 0 + 4\/(-38)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 240*m - 34. Let v be j(-3). Let n = 269 + v. Let a = 733 + n. What are the prime factors of a?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**6\/30 - l**5\/5 + 12*l**2 + 1. Factor r(i).\nAnswer: -4*i**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 2028 + 3888. Let w = o + 104. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 12:17 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 8*n**2 + 4. Let s be f(8). Let c(q) = -3*q**3 + 5*q**2 - q - 1. Let l(r) = -2*r**3 + 4*r**2 - 2*r. Let h(w) = s*c(w) - 5*l(w). Factor h(m).\nAnswer: -2*(m - 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1301 by 3.\nAnswer: 1301\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 52246145?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -555.9355 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00801475 rounded to 4 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 8 + 4*n**3 + 9\/2*n**2 + 0*n. Find the second derivative of h(k) wrt k.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7823? (a) 5.6 (b) -1 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -19*c**2. Let b(u) = -6*u**2 + 5*u - 5. Let n(j) = -7*j**2 + 6*j - 6. Let p be 258\/48 + (-3)\/8. Let f(x) = p*n(x) - 6*b(x). Determine g(f(w)).\nAnswer: -19*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g. Let m(i) = -4*i**2 - 3*i + 6. Suppose 0 = -7*z - 25 + 4. Let u(k) = -11*k**2 - 8*k + 16. Let c(v) = z*u(v) + 8*m(v). What is t(c(f))?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138.5721 micrograms to milligrams.\nAnswer: 0.1385721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14373, -57643, -129753, -230703, -360493?\n\"Answer: -14420*x**2 - 10*x + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3836 and 1.\nAnswer: 3836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 172844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3223300103 (base 4) to base 2.\nAnswer: 11101011110000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.53 + 0.63. Let x(z) = z - 12. Let d be x(7). What is the second biggest value in 3\/4, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -144. Suppose 15*w - a = 12*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4315 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(84)*-4 - sqrt(84))*-4)\/(sqrt(120)\/sqrt(360)*-1))**2.\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + h + 20, 4*d - 1 - 7 = 4*h. Let k be (-20 - 0)*(-1 - -4)\/d. Which is bigger: k or 18?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from yyoxof.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 - 7*u**2 + 23*u - 29. Let x be s(2). Solve 16 - 5 = -x*l + 3*w, 16 = -l - 4*w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*l - 8, -5*g + 16 = -g - 4*l. Sort -5, g, -0.513 in ascending order.\nAnswer: -5, -0.513, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29280 divided by -9760.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 4:42 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 215467786 and 215467786 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 17 - 3. Suppose 3*i = -4*l + 24, 4*i + z*l - 4*l = 32. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**6\/72 - n**5\/6 + 155*n**4\/72 + 10*n**3 - 3*n**2 - 5*n - 1. Suppose r(v) = 0. What is v?\nAnswer: -9, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 divided by -793474?\nAnswer: -317\/396737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1448409, -2896771, -4345133, -5793495, -7241857?\n\"Answer: -1448362*k - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (29 - (-120)\/(-10)) + -11. Which is the biggest value? (a) -1 (b) l (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-870)\/7)\/(6\/(-126)). Find the third derivative of -o**4 + 5280*o**2 + 7*o**3 - y*o**2 - 2533*o**2 wrt o.\nAnswer: -24*o + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1345.10782 minus 890?\nAnswer: -2235.10782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -24179104, 11 in decreasing order.\nAnswer: 11, 0, -24179104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17161.662s to minutes.\nAnswer: 286.0277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114 - -76. Let n = l + 37.49. Let h = 0.26 + n. Round h to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121\/7 + 17. What is the biggest value in 0.3, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*u, -u = -5*b + 3*u + 5316. Let a = b - 729. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-17953)\/(-21) + (-10)\/(-105) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1547 and 273?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51 - -225?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/(-2))\/(2\/44). Let r = a + 242. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.52 - 0.6. Let p = w - 1. Let q = p + 0.08. Which is smaller: 0.4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/5 - 813*q**2 + 380952*q\/5.\nAnswer: -3*q*(q - 88)*(q + 1443)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3297 - -407. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 21*p**2 + 825*p + 11212. What is t(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 8:47 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + -21. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 0.5, -2\/9, -0.81, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 10. Let f = c - 8. Is 19 a factor of ((-884)\/39)\/((-2)\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -173.1 - -173. Suppose -k + 0 = -2. Suppose r - 3 = k. Which is smaller: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 84, 227, 498, 939, 1592?\nAnswer: 2499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15566, -31485, -47408, -63329, -79242?\n\"Answer: r**3 - 8*r**2 - 15902*r + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u - 80*u = 47*u + 1183 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - s + 1. Let m be k(0). Let t be 0*(-5)\/10 + (13 - m). Solve 2*b + t = -2*p, 2*b - 3*b = -4*p - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u**3 - 16*u**2 - 16. Suppose 5 - 20 = 3*t, 2*m + 2*t = -140. Let s = m + 62. Let y(x) = -x**3 - 3*x**2 - 3. What is s*d(z) + 16*y(z)?\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -15, 3, -3, -4, -6, -1140 in descending order.\nAnswer: 4, 3, -3, -4, -6, -15, -1140","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/12 and -65\/129372.\nAnswer: 129372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 13*f**2. Let h be r(-1). Calculate the greatest common factor of 117 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3477 + 205155\/59. What is the common denominator of d and (42\/(-60))\/(2\/18)?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -17*w**2 - 14 + 18*w**2 + 14. Let z(o) be the third derivative of 3*o**5\/20 + o**3\/6 + 20*o**2. What is z(v(q))?\nAnswer: 9*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = -0. Let f(q) = -2*q. Let m(o) = 6*o**2 + 5*o + 1. Suppose 9 = v + 5*t + 35, -17 = -3*v + 4*t. Let h(u) = v*m(u) - 3*f(u). Determine h(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 7*f**2 + f + 9. Let d be p(-7). Suppose -l + 4*m + 1439 = -2068, 0 = 2*l + d*m - 7024. Suppose -10*r = -69 - l. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.41073879923 + -0.5.\nAnswer: 12.91073879923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -184 + 176 + (26 - 3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -1) + 2\/(-16). Let h = -66.8 + 63.8. Which is the second biggest value? (a) h (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -925234 (base 11) to base 12.\nAnswer: -5b7923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*k + 20*k**2 - 13*k)*(2*k - 2*k + k) + (0*k + k - 5*k)*(k**2 + 3*k**2 - 3*k**2).\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h. Let d(a) = -641*a + 941409 - 941409. Determine w(d(n)).\nAnswer: -4487*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*v = 7, 3*h - 11 = 4*h + 4*v. Let l(c) = -c**2 - c**2 + h*c**2 - 2*c**2. Let a(u) = 4*u. Calculate a(l(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 213 + -208. Is 79 - (-24 + -1)\/z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85473750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*i**2 + 12*i**2 + 1 + i + 2*i**4 + 3*i**3 + 10*i**2 + i to the form z*i**2 + w*i + v + b*i**4 + h*i**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 1\/3, 1.5, -15 in ascending order.\nAnswer: -15, 1\/3, 1\/2, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 234\/30)\/((-13)\/650) - 43.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -32?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46058, -184588, -415472, -738710, -1154302?\nAnswer: -1662248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 147*k**2 + 867\/5*k + 42 - 9\/5*k**4 + 69\/5*k**3 = 0.\nAnswer: -5, -1, -1\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46777, -93524, -140271?\nAnswer: -187018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(325) - sqrt(325)*-1).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8013? (a) 4\/5 (b) 37 (c) -1 (d) 0.2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 1. Let m be h(2). Is m\/((-850)\/426 + 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/75))\/s*s)**(-1\/11)*(s**(2\/25)*s)\/s**(-34) assuming s is positive.\nAnswer: s**(28868\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156537.\nAnswer: 3, 17393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4 = -4*x + 7, -o = 3*x - 5. Let g(c) = 35*c**2 - 3*c**2 + 3*c + 6*c**x - 2. Is 11 a factor of g(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20 + 1?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21862 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Suppose -3*r = 4*g + 10, -2*g = -q*r - 0*r + 12. Suppose -3*v = r*m - m - 93, -5*v = -3*m - 155. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 677073*f**2 - 225678*f**2 - 225691*f**2 - 225668*f**2.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9686*u**2 + 19397*u + 41. What is r(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - 10. Let q = h + -32. Let v = q - 17. Which is greater: -5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 + -26. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 - 25. Suppose -4*t - 10 = -r. What is the first derivative of -4 + 2 + l**2 - t + 4 wrt l?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - 1. Let b = -8 - t. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.01, 39, 2\/15, 0.191, -1, 2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 7*r**2 + 2*r + 4. Suppose 10*v - 5*v = 35. Let o be d(v). Find the common denominator of 119\/24 and 59\/(-4)*(-9)\/o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r**(2\/3)*(r**(-2\/5))**(19\/3))**(-2\/107) assuming r is positive.\nAnswer: r**(86\/1605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**2*v**2 + 12*i*v**2 + 40*i - 1724*v**2 wrt i?\nAnswer: 4*i*v**2 + 12*v**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - t = 61, 0 = -f + 6*t - 2*t + 4. Suppose -5*w - 1 - 374 = -80*w. Solve 9 = -w*n - f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 6:39 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*s**4 - 4*s**3 + 72426*s - 11318938 wrt s?\nAnswer: 20*s**3 - 12*s**2 + 72426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24, -40, -72, -126, -208?\n\"Answer: -z**3 - 2*z**2 - 3*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16481 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, x: 2}. What is prob of picking 1 x and 2 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 4, -8 in descending order.\nAnswer: 4, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) + (sqrt(25) - sqrt(3600)*3))\/(sqrt(5) + -2*sqrt(320)) + ((sqrt(90)*-1)\/(2*-2*sqrt(2)))**2.\nAnswer: 45\/16 + 34*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 <= 1581946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 8943.8 to the nearest ten.\nAnswer: 8940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccccmcmccc.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 744546894?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(55)\/sqrt(5) + 0)**2 + (-3*sqrt(44) + sqrt(44))\/sqrt(4).\nAnswer: -2*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 399 * -250\nAnswer: -99750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3432795.21 - 3428021.33183. Let u = j + -4835.8781626. Let d = 62 + u. Round d to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3717921871?\nAnswer: 23, 161648777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 + -70. Suppose -8 = -2*q + v, v + 0 = q - 5. Solve 2*l - z + j = 0, -5*z + 10 = -8*l + q*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(85)*1)\/sqrt(5))**2 + -1.\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -35098, -140396, -315894, -561592, -877490, -1263588?\n\"Answer: -35100*u**2 + 2*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 42. Let s = b + 5. Suppose -18*c = -s*c + 30. Solve c*t - 16 = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1328848 and -79\/4396.\nAnswer: 9301936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 889045 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 4. Determine w so that -2*w**2 + 0*w**4 - 2*w - w**3 - 4*w**4 + 6*w**4 + 3*w**p = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfff when four letters picked without replacement from fqqfff?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, -5, -10, -17?\n\"Answer: -q**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/48 and (10 - (-892)\/(-40))\/(-3).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/6)\/((-2)\/96). Let k be 30\/a*44\/(-6). Is 2 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/(o\/(o**(-1\/10)*o))))\/o)**(-41)*(o*o*o\/o**(-2\/9)*o)\/o**(4\/15) assuming o is positive.\nAnswer: o**(7367\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -2 + (0 - -2 - -31) + (-170 - -187)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -414088, -5 in descending order.\nAnswer: -2, -5, -414088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 126 (c) -4.87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 64*h + 597 = 101 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 15*f - 18. Give a(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 184, 748, 1674, 2944, 4540?\n\"Answer: -3*r**3 + 199*r**2 - 12*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 826 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (3 - (-9 - (-6 - -1)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1882 (b) -2 (c) 10 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 559 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/1040 and 99\/12003940.\nAnswer: 48015760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.15, -2, 285 in decreasing order.\nAnswer: 285, 3, -0.15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 24*d + 46. Let g be q(-6). What is the greatest common factor of 28 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 160\/3, 2, -0.1, 4.7, -2\/65, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -1\/3*v**3 - v**2 - 6*v + 0. What is the first derivative of a(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 880?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 6\/(-9))*(-10 - -16). What is the third derivative of -2096*t**4 + 3*t + 2*t + 3*t**2 + 2121*t**4 - x*t**2 wrt t?\nAnswer: 600*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 186\/8 + ((-496)\/4464)\/(2\/252)\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -482, -1479, -3554, -7097, -12498, -20147?\nAnswer: -30434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(162))*6 + sqrt(162) - sqrt(162).\nAnswer: -6 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*s**4 + 2 - 2 + 2*s**4 + 0*s**4 - 4*s**4 + (s - s + 2*s**2)*(-3*s**2 + 98 - 98) as l*s**4 + j*s**2 + u*s + c + r*s**3 and give l.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5317 is divided by 93?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1448, -2\/5, -0.056 in decreasing order.\nAnswer: 1448, -0.056, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.01 - 0.86. Let u = l + -2.15. Put -1\/12, u, -3\/11 in decreasing order.\nAnswer: -1\/12, -3\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106855336 divided by -8?\nAnswer: 13356917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 + 1.1. What is the second smallest value in -0.2, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 0 (b) 1\/4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - l - 33 + 5 = 0, 3*f - l - 18 = 0. Suppose -f*p + 6 = -19. List the prime factors of (-10)\/(-1) + 0\/p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37 and 0.19.\nAnswer: 7.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 184, 374, 568, 766, 968?\n\"Answer: 2*t**2 + 184*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1186, -5590, -12940, -23230, -36454, -52606?\n\"Answer: x**3 - 1479*x**2 + 26*x + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-414)\/(-8) + 1\/(1*4) is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -854318 less than -16232064\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 4*g + 20, 0 = 3*g - 0 + 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 280 in -0.5, -11, -1\/10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*w - 80*w = -p + 11, -2*p + 3*w - 5 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 0*c**4 + 0*c + 7\/120*c**6 - 1\/2*c**3 + 0 - 6*c**2 + 0*c**5. Differentiate n(v) with respect to v.\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 1 + 4 + 4 - (sqrt(320)*-3*-1 + -5))**2.\nAnswer: -448*sqrt(5) + 1476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 - 28. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j - 5. Suppose -t + 4*i + 5 = 0, 6*i - 20 = -4*t + 10*i. Let c(z) = -z - 1. Let k(r) = t*c(r) - u(r). Calculate k(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86*i**3 - 27*i**2 - 2*i.\nAnswer: 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615633 is divided by 51152?\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1088)*-2 + 5 + 5)**2 + (sqrt(1088) + -1 + sqrt(1088)*-2 + sqrt(1088)*2*-4)*-6.\nAnswer: 112*sqrt(17) + 4458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + k = 152, -4*b = k - 4*k + 115. What is the remainder when 53 is divided by 12\/6 - (3 + (b - -2))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*s**3 + 10\/3*s**2 + 4*s + 0 = 0. Calculate s.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + -69. Is 11 a factor of z\/(-7)*(-5 + 12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -146 + 164. Suppose -c - 2 = -5*q. Suppose -3*z + 527 = q*j, 2*j = -3*z + 5*j + 555. What are the prime factors of z?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**3 - h**2 - h + 1. Let b = 1 + 0. Let k be n(b). Suppose 0 = k*i - 48 - 36. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(7) + -3 + -3 + sqrt(847))**2.\nAnswer: -120*sqrt(7) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2 = 2. Suppose -4*q = -w*q - 116. Let z = q + 249. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(972) - sqrt(972)*1) + sqrt(972) + sqrt(972) + sqrt(972) - (sqrt(972) + 1*sqrt(972)*5))\/(sqrt(576)*2*3*4).\nAnswer: -3*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 9*b**2 + 3*b - 15. Give i(7).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 1\/7 (b) 2 (c) 3 (d) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 181*o + 3359. Calculate i(21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 681444, 1362848, 2044216, 2725548?\n\"Answer: -18*f**2 + 681458*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c + 1. Suppose 5*m + 8 - 38 = 0. Let b(k) be the second derivative of -5*k**3\/2 + k**2 - 925*k + 3. Calculate m*b(u) - 13*x(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9533 is divided by 635?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 19*d + 45. Let o(t) = 7*t + 15. Determine 8*o(b) - 3*y(b).\nAnswer: -b - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -356*i + 8. Let h(c) = 356*c - 12. What is -2*h(d) - 3*s(d)?\nAnswer: 356*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 6*r**2 - 9*r - 3. What is g(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.4 - 0.6. Let i = v - 1. Let g = 3.99973 + i. Round g to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 10 + 6)*(o + 0 + 0) - 1944*o + 1029*o + 992*o to j + i*o and give i.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 58 = 6*t, -1090*d - 4*t = -1095*d - 31 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 24 = 2*g, 0 = u - 3*g + 2 - 11. Let d = 26 - u. Calculate the least common multiple of 7 and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 6\/(-4))\/(124\/496)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 1. Let p be b(4). Let h(z) be the second derivative of z**5\/20 + z**4\/2 + z**3 + 7*z**2\/2 - 2*z. Give h(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/152 + 319\/456. Which is the closest to 0.05? (a) 7 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -22. Let o(k) = k**3 - 3*k**2 - 4*k + 2. Let y be o(4). Calculate the remainder when s is divided by (-3)\/y*150\/(-45).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.056 (b) 4\/7 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40927*f**2 + 124043*f**2 - 41316*f**2 - 41272*f**2.\nAnswer: 528*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1008)\/(-21420))\/(2\/(-34))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 45b?\nAnswer: -45c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2296 + 20885. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -232.6.\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/9 - 2*g**3 - 146*g**2\/9 + 130*g + 144.\nAnswer: 2*(g - 9)**2*(g + 1)*(g + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(312)*1)\/sqrt(12))\/(sqrt(98) + -4*(sqrt(98) + (sqrt(98) + sqrt(98) + sqrt(98)*1 - sqrt(98)))).\nAnswer: 4*sqrt(13)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**5 - 4*u**5 - 2*u**5 + (u**3 - u**2 + u**2)*(-2*u**2 + 2*u**2 - u**2) + (0*u**3 - 4*u**3 + 2*u**3)*(0*u + 0*u - 2*u**2) - 3*u**4 + 4*u**5 + 3*u**4.\nAnswer: 3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 1\/24*d**4 + 0*d + 1\/60*d**5 + 0 + 1\/6*d**3 + 1\/24*d**6 + d**2. Give c(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, 0, 321, -3, 4 in descending order.\nAnswer: 321, 4, 1, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -64043 divided by 1754\nAnswer: -64043\/1754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 428400614.8 rounded to the nearest one million?\nAnswer: 428000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*z**3 - 311488*z**2 + 311486*z**2 - 581*z**3.\nAnswer: -538*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/225 - 2\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512 + 556 = -11*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*g + 3*g + 1049 = 0, -5*g = -2*v + 547. Let w = v + -122. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 4*m - 4 = -4*r, -3*m = -5*r + 5. Let b = m + -4. Let d be (-9)\/(-2) + 2\/b. Solve 4*j = -4 - d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(637) + -5 + sqrt(637))**2.\nAnswer: -5146 + 280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20, -149, -374, -701, -1136?\n\"Answer: -f**3 - 42*f**2 + 4*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22309, 44614, 66919?\n\"Answer: 22305*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**2\/2 + 6*w - 2. Let d(v) = v - 5. What is the lowest common multiple of d(6) and u(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295311083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 210970000 rounded to the nearest one million?\nAnswer: 211000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*-94*(-5)\/20. Let a be l\/4 + (-2)\/(-8). Suppose -37*f = -20*f - 34. Solve -f*k - k = -a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1846331 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 0 + 0*t**4 - t**2 - 33\/2*t**3 + 21*t + 3\/5*t**5. What is the derivative of u(g) wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2. Let d(w) = 41*w - 41*w - 5*w**2. Determine n(d(x)).\nAnswer: -25*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8*g**3 + 1)*(g**2 + 0*g**2 + 2*g**2) + (3*g - 4*g + 3*g)*(3*g**4 + 8 - 8).\nAnswer: -18*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -158541 or -852?\nAnswer: -852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z + 2. Calculate the remainder when 4263\/91 + -1*(-2)\/13 is divided by d(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nog when three letters picked without replacement from olunugp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from vvjjjjjjjjvjvvjjjj?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Suppose 4*r - 111 = -5*j, -3*r - w*j = r - 121. What is the remainder when r is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - n**2 + (-5*n + 3*n + 4*n)*(-2*n + 0*n + 4*n) - 3*n - 2*n**2 + 3*n + 1 - 6*n**2 - 1.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 4*p - 3. Suppose -4*g = -13 - 3. Suppose 4*m + 2*q - 44 = 0, 8*q = -3*m + g*q + 28. Let k be m\/(-10)*(-40)\/12. Calculate x(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 139*s**3*y**2 + 4*s**3*y + s**3 - 2*s*y - 2079*s + 2*y**2 wrt s?\nAnswer: 834*s*y**2 + 24*s*y + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 52*g**2 - 1172*g - 75. Give i(-17).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233791 is divided by 23378?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 12 = -4*g, -2*q - 42 + 62 = -4*g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.62244 decades in months?\nAnswer: 11954.6928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 891 and 60676.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.77 - -0.23. Which is the nearest to 2\/3? (a) 5 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*k + 2 = 0, 4*j - 3*k = -2*k - 15. Let t be ((-50)\/20)\/(2\/j). Solve o + 16 = 5*a, 0 = -o + 2*a - 4*a + t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**6\/120 - x**5\/60 + x**4\/12 - 7*x**3\/6 + 4*x**2. Is n(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3245*g - 3167*g = 2340 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 less than -3883.945834184?\nAnswer: -3883.935834184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2) + (-81)\/(-99). What is the closest to -1 in m, 6, 2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**5 + 96*s**4 - 344*s**3 + 496*s**2 - 324*s + 80.\nAnswer: -4*(s - 20)*(s - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 35312?\nAnswer: 35317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2abddb (base 15) to base 12.\nAnswer: 837208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f = 4*j + 26, -3*f = -3*j - 69. Let u be (f\/(-33))\/((-1)\/6). Solve -2*m = -u*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 996*f**2 - 11813*f + 23. Give r(12).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-5 - 0) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1574*c**2 - 692*c**2 - 2652*c**2 + 893*c**2.\nAnswer: -4025*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*x - 6*x = -119, -5*o + 157 = 4*x. Calculate the remainder when 113 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*v = 117*v - 1440. What is the remainder when v is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = 2*u - 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/24*-2)\/(1\/(3\/(-7)))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 2, -2\/3, -0.1, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 18*i**2 - 16*i + 3. Determine r(-17).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4 (b) 1 (c) 198 (d) -2\/3 (e) 7308\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 - 3*m**2 - 2*m**2 + 4*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (-2269 + -4)*1. Factor -6*j**2 + k*j**3 - 2273*j**3 + 2*j**2.\nAnswer: -4*j**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 428 (base 13) to base 14.\nAnswer: 38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/63? (a) 2 (b) -0.2 (c) -0.8 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -321?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - k + 1. Let b(a) = -3*a**2 - 4*a + 9. Give b(p) - 5*o(p).\nAnswer: 2*p**2 + p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o = -14*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q. Let f(n) be the second derivative of n**3\/6 + n**2 + 4*n. Let t(c) = 5*c + 11. Let y(s) = -11*f(s) + 2*t(s). Determine y(k(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 24 (b) -16 (c) 4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from {i: 1, b: 4, y: 3, t: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -24 - 3 - (-20 - 21 - 32)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001285841029 to six decimal places.\nAnswer: 0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 2\/3521?\nAnswer: 2\/3521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(5\/3)\/n)\/n**(6\/7))\/((n*n*(n\/(n*n**(-3\/8)*n))\/n)\/n**8))**(19\/2) assuming n is positive.\nAnswer: n**(26923\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 11. Let g be a(5). Sort g, 0.1, 5 in decreasing order.\nAnswer: 5, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*c*h*k**3*q - 2*c*h*k**3 - 11*c*h*q + 2*c*k**2 - 2*h*k*q + 3*q wrt k.\nAnswer: -72*c*h*q - 12*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224428.\nAnswer: 2, 19, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p + 74*p**2 + 6*p - 10*p - 19 - 22 - 71*p**2.\nAnswer: 3*p**2 - 19*p - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4685 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1 - 66) + -10 + -6 + (160 - 139)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(2268) + sqrt(28) + sqrt(2800) + (sqrt(2800) + 5 - sqrt(2800)))*2 + -1)**2.\nAnswer: 4032*sqrt(7) + 351313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14364 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/6 - (-3)\/2. Let o(h) = 1 - f + 3*h. Let p(z) = 2*z**2 - 3 + 3. Calculate o(p(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2802427?\nAnswer: 97, 167, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**4 + 3*z**4 - 3*z**4)*(-5 + 2 + 4*z + 1).\nAnswer: 20*z**5 - 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*-1)\/sqrt(2))\/(sqrt(64)\/sqrt(72)) - (-3 + sqrt(9)\/(sqrt(81)\/sqrt(3))).\nAnswer: -10*sqrt(3)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0 (c) -57 (d) -2\/29 (e) 5 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nineteen quarters of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3907*r**2*y - 2*r*y - 601*r wrt r?\nAnswer: -7814*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/2 of a century?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19534034233 - 19534035141.99999527. Let b = s + 909. What is b rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000101110 + 11?\nAnswer: 100000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 438408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c = 423 - 709 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(304) - (-2 + sqrt(304))*-5)*3*6 + -5 + 2).\nAnswer: -432*sqrt(19) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**6\/480 - d**5\/80 + d**4\/32 - d**3\/24 - 25*d**2. Suppose x(j) = 0. Calculate j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*c + 3*c + 30, -5*c = 2*t - 14. Suppose 5*k = -10, 4*f + 2*k + 1 = 9. Let a = t + f. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, r: 9}. Give prob of picking 2 r.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (-57 + 87 - -43).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40558 - 20838. List the prime factors of y.\nAnswer: 2, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 2:16 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, f: 1, t: 1}. What is prob of sequence ft?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.1 - -1.1. Let o = x - -14.5. Which is the second biggest value? (a) o (b) 1\/2 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 17\/3*b**3 - 12 + 2*b**2 + 17*b. Is n(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04793, -1\/2, -2\/7, 0.4 in ascending order.\nAnswer: -1\/2, -2\/7, 0.04793, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 0*l**2 + 1\/4*l - 1\/12*l**3 + 3. Find c such that z(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -41*l**2 - 4*l. Let o(m) = -2091*m**2 - 205*m. Suppose 2*c = 6*u - 446, 20*u = 5*c + 23*u + 1007. Calculate c*w(v) + 4*o(v).\nAnswer: 41*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90134?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 524 + -465. Calculate the greatest common factor of r and 649.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 0*x + x)*(5 + 1 - 57 + 1 - 1 - 2 + (0 - 2 + 4)*(-3 - 3 + 5) - 6 + 2 + 3) - 2*x + 0*x + 9*x.\nAnswer: -105*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 642 + -524. Let u = 118.1 - h. Which is smaller: u or 146?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2706 and 2122494.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + w + 1. Let z(t) = 18*t**2 + 10*t + 10. Let o(i) = -12*y(i) + z(i). Let d = 2 + 0. What is the tens digit of o(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 17*d + 4 = -3*n, -n - 6 = -5*d. What is the closest to d in -3\/7, 0.5, -2\/5, -1\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-14)\/49*-7 - -6)*1 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73088 - 451406 = -5*y - 2*t, 3*y = -4*t + 314688. Round y to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302720583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3638 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -308 + 309.79. Let g = a - 4.53. Let j = g + 1.3. What is j rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 9\/(-4))*-12. Let i = d + -4. Let v(k) = k**3 - k**2 - k + 8. Let j be v(0). Solve j + 2 = -i*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 952 and 97648.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15384 - (-1 + 91)\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**2 + 24*z. Let f(h) = h. Let c(d) = -a(d) + 6*f(d). Let u be c(6). Put 10, u, 4, 2 in descending order.\nAnswer: 10, 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(5 + -2))\/1. Let w = -1 + q. Let p be -2 + 7 + (-3 - w). Let y(j) = -j**2 + j - 1. Calculate y(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29689 - 1711 = 785*l for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -272, -120, 234, 892, 1956, 3528, 5710, 8604?\n\"Answer: 17*s**3 - s**2 + 36*s - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 7792*k + 70210. Calculate a(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2012 = 3*j + g, 5*j = -2*g + 2512. Find the common denominator of -63\/32 and (1 - 9)*(-98)\/j.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n - 39 + 115 = 0. Solve n*i - 5*i = 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**5\/5 - u**4\/4 + 2*u**3 + 2*u**2 - 8*u + 437. Factor s(h).\nAnswer: -(h - 2)*(h - 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -1\/60*u**5 - 7\/6*u**3 + 0 - 13\/24*u**4 - u**2 + 0*u. Is p(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -1\/360*h**6 + 0 + 3*h**2 + 0*h + 3\/40*h**5 + 0*h**3 + 17\/24*h**4. Let q(b) be the second derivative of w(b). Determine q(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * -302.\nAnswer: 5134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssxsexssxsexs. What is prob of picking 4 s?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -18. Let p = i - 8.1. Let r = -0.09 + -3.91. Which is the closest to -2\/5? (a) 5 (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x + 228 - 107 - 117)*(-x - 2 + 2) to u*x + d + t*x**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -10*p + 162. Let c = 0 + 16. Suppose 3*f + c = 4*f. What is the least common multiple of f and m(15)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (2916\/(-39) - 12\/52 - -21)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-1) - (-13)\/1. Suppose 7*h = 9*h - l. Is h*6\/(-10)*-37 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 395712 and 4484736?\nAnswer: 13454208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 127 + -5?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (3 - 138\/66 - 6)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqhrfqfhfrlq. Give prob of picking 1 l, 2 f, and 1 r.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/21)\/(4\/7)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.403 - 0.123. Let c = x - 0.58. Sort 0.1, c, 2.9 in decreasing order.\nAnswer: 2.9, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 - 20*o - 191. Calculate r(-6).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*u - 1 - 5*u**2 + 1 + 189*u.\nAnswer: -5*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 - 6*b. Let o(x) = x**2 - x. Let d(v) = m(v) - 6*o(v). Let c(t) = -22*t + 70*t - 24*t. What is d(c(y))?\nAnswer: -576*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121751780 to the power of 1\/2, to the nearest integer?\nAnswer: 33493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 2*l + 1. Let d be r(-3). Let t = 4 - d. What is the closest to 1 in 1\/2, t, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 187 (b) 5 (c) -0.38342\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/18 + (-2704)\/(-234) - 4) + 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90cb (base 13) to base 2.\nAnswer: -100110111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 550 - 3840\/7. What is the third smallest value in y, -1, 0.8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 10*l + 100. Let b be z(16). Suppose b*n - 2476 = -312. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/16*-6*(-4)\/3. Let h be 3*(220\/99)\/(-5). Which is the nearest to t? (a) h (b) 2 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-648)\/45)\/(-12))\/(2\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103.857 - -1.443. Let x = 105 - z. What is the fourth smallest value in -3\/5, -5, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbf when three letters picked without replacement from {f: 2, p: 2, b: 1, t: 1, u: 2, v: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -629.1 rounded to the nearest 10?\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 12:34 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4351*y**5 + y - 1135?\nAnswer: 87020*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/24 + 9916\/6.\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x**2 - 7*x**2 - 2*x**2 - 3*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -19*v + 92. Give p(-4).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8332789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 10 - -9) + 10 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 725759340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.868196cm to micrometers.\nAnswer: 38681.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26970217 to the power of 1\/2, to the nearest integer?\nAnswer: 5193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 - 317*f**2 - 23*f + 18. Let r(l) = -158*l**2 - 10*l + 8. What is 9*r(c) - 4*x(c)?\nAnswer: 8*c**3 - 154*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, -51, -172, -331, -522?\nAnswer: -739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 2*x + 12, -4*c - 21*x + 13 = -26*x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-30 + 2 - 14)*(2*i + 0*i - 4*i)*(131*i - 1 + 80*i**2 - 69*i - 63*i).\nAnswer: 13440*i**3 - 168*i**2 - 168*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-6))\/((-3)\/(-27)). Suppose 3*a = -5*u + 16, 5*u + a = 5 + 7. Suppose y - 7 = -2*z, -u = 5*z - 0*z - 4*y. Solve 1 + z = o*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 10*f + 3. Let w be k(11). Let x = w + -9. Is 2 - -1 - (x + -67) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 - 91 = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631826 is divided by 157951.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -81 in 0.061, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -284, -294, -302, -308, -312?\n\"Answer: q**2 - 13*q - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12211201221 (base 3) to base 8.\nAnswer: 340457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3904, -3858, -3744, -3532, -3192, -2694, -2008?\nAnswer: -1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1196339 to the nearest one thousand.\nAnswer: 1196000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 14*j + 25. Let o be (6\/4)\/((-8417)\/190 + 44). What is k(o)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*o = -25 + 8, -4*m - 33 = -5*o. Let a be m\/7 + (-185)\/(-70)*2. Suppose 8*t - a*t = 180. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suusuus. What is prob of picking 2 u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-2)\/r)\/r)**16)**(-28))**(-1\/3) assuming r is positive.\nAnswer: r**(-1792\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -108628 - 3?\nAnswer: -10862b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 360 = -2*x, 2*d - 2*x + 66 - 204 = 0. Suppose 0 = 2*b, -474*y + 469*y - 4*b = -555. What is the greatest common divisor of d and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 94 = 262 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5037 + 546 = 3*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, -3, -675359 in ascending order.\nAnswer: -675359, -3, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -700, -722, -732, -724, -692, -630, -532?\n\"Answer: d**3 - 29*d - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7 + 5 - 694*j + j**2 + 688*j. Let v be h(7). Solve -v*i - 34 = -3*n, 5*n + 3*i - 20 = 4*i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3243631 is divided by 405?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/21109 and -20\/841.\nAnswer: 17752669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 10 = d - 5*u, 0 = -5*d + 2*u + 39. Let q be (16\/(-6))\/(1\/(-3)). Suppose 4*l = -4, -2*o + q = o + l. Calculate the lowest common multiple of d and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17206 and 28742?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434080?\nAnswer: 2, 5, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5808 by 66.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 7689 = 4*r, 35*r = 37*r + m - 3813. Solve 12*j = r - 2007 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*p - 5*p - 15*p)*(3*p - 2*p + 9 + 0*p).\nAnswer: -38*p**2 - 342*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q = 3*a - 13, 3*a - 3*q = 12. Suppose t = a*t - 8. Let g(x) = -x**t - 6*x**2 - 1 + 6*x**2. Calculate g(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -118, -231, -362, -511, -678?\nAnswer: -863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 172\/14 + 2\/(-7). Let p(t) = -3*t**2 + t + 2. Let x be p(0). Let c be (3 - (x + 2))*3 - -87. Calculate the highest common factor of g and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**3 + 1626*f**2 - 16336*f + 39264 = 0?\nAnswer: -1636, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, w: 1, d: 1, j: 1, s: 1}. Give prob of picking 1 j, 1 w, and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from eeyyaeaaaeaya?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17471840237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8415 divided by -1683?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 6*n - 2*n**2 - 11*n + 15*n. Let j be r(0). Suppose -k + j*k - 2*k = 0. Solve 0 = -s - k*s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*b**2 + 1031641 - 1031646 - b**3 + 2*b**3)*(-b**2 + 3*b**2 - 3*b**2).\nAnswer: -b**5 - 49*b**4 + 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10 - 2*u**2 - 2*u**3 + 2*u**2 - u - 11 - 7*u**2. Let b be t(-6). Suppose b*k + 230 = 190*k. Calculate the remainder when 181 is divided by k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*v - 8*v + 12*v as x + n*v and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*b - 6. Let j be (3 + 7\/b)*4. Let x be (2\/8)\/((-15)\/36). Which is greater: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30465.\nAnswer: 3, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283, 112, 775, 1706, 2905?\nAnswer: 4372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -796 + 1139. What is the greatest common factor of 21 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.09 - 0.21. Let w = -1.4 - m. Is w equal to -1.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*m - 462 = 0, 3*j - 380 = -j - 2*m. Is 31 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73067\/67784 + 260\/229. Find the common denominator of 131\/888 and k.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(210)*4)\/sqrt(7))\/(-5*sqrt(294) + sqrt(294)))**2.\nAnswer: 45\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -649, -650, -651, -652, -653, -654?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6611406 greater than 6611406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 340 = 3*l + 321, 0 = -2*u + 4*l - 22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8692 is divided by 1097?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jiieejiijjeije. Give prob of picking 2 j and 2 i.\nAnswer: 100\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 161 - 75. Let h = k + -90. Let g be 1*(h\/(-5))\/((-4)\/(-50)). Solve -3*i - 3*s = 6, -2*i + 3 = 3*s + g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 19 = -5*m, -m - 43*o + 41*o + 2 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5*g - 35, g - 7 = -4. Put -1, 3, 4, n in decreasing order.\nAnswer: 4, 3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**2 + 7432*q + 3440500 = 0. Calculate q.\nAnswer: -983, -875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23765432 - -43251252. Let m = 19485819.12999842 - c. Let w = m - -0.87. What is w rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102862 to the power of 1\/2, to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 180. Let w(o) = -8*o**2. Give s(w(a)).\nAnswer: 128*a**4 + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from feeeeeffefneenee. What is prob of picking 2 e?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 42.08. Sort 1\/4, x, -3\/4 in increasing order.\nAnswer: -3\/4, x, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -11*g**2 + 3*g**3 - 15 + 5*g - 3*g - g**3 - g**3. What are the prime factors of l(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3883878 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6518.263 years to months.\nAnswer: 78219.156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 7*v**2 - 12*v. Determine o(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (-7 - 11)*(-2040)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528) - (sqrt(528) - 1*sqrt(528)*2 - sqrt(528)))\/sqrt(11).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 7, -4, -5 in decreasing order.\nAnswer: 17, 7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 136865086 a multiple of 2114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/34811 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 95.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f + 198 = -11*f. Let h be f\/45 - (-1918)\/(-15). Round h to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(300))*5 + sqrt(300))**2 - ((sqrt(3)*-3 + -1)**2 + 5))*2.\nAnswer: -12*sqrt(3) + 21534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -4. What is the highest common factor of j and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 4*m - 12, -5 + 17 = 3*p + 5*m. Suppose 0 = -q + 5*q - 8. Find the third derivative of -6*w**6 - 9*w**q + p*w**6 + w**2 - 3*w**2 wrt w.\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhccc. What is prob of picking 1 h and 1 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-2))\/(-5 + -1). Determine x, given that m*x - 1\/4*x**2 - 1\/2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -40 (b) -35467 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39*(-93)\/806)\/(24\/(-176)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from osd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 19950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 2\/7, 0.03 in descending order.\nAnswer: 2\/7, 0.03, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -314*j. Let z(y) = -2*y. Calculate z(p(d)).\nAnswer: 628*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 10 + 2. Let f be 6\/2*(-5)\/(5\/(-3)). Suppose 0 = f*i - 21 - 15. Solve i = -x*y - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73)\/146*40\/(-210).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 = -3*k, -6*k = -7*k + 1. Suppose 4*f + s*f = 36. Calculate the smallest common multiple of f and 69.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.5 (c) -5175 (d) 3 (e) -1\/3 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 450031829717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-3)*10\/(-195)*(-54)\/81?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n - 238978 - 19071. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t - 2*t)*(-8*t**2 + 13*t**2 + 12*t**2) + 5*t**2 - 42 + 42 - t**3.\nAnswer: -35*t**3 + 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 18467.99kg?\nAnswer: 18467990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 24 = 11*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 2. Let l be n(2). Suppose 2*x - 16 = 5*u, 4*u + 4*x + l = 4. Let w be u\/(-2 + (2 - 2)). What is the closest to 0.1 in w, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -321 + 386.6. Let w = r + -66. Let f = -6 - -4. What is the biggest value in f, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 135, 453, 1065, 2067, 3555, 5625?\nAnswer: 8373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.15 + 72.15. Let p = z + -73. Let h be -2*4\/28*-1. What is the fourth smallest value in p, 0.5, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*y + 62 - 62)*(1 - 1 - 2).\nAnswer: -76*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a factor of 28927475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l + 4 + 0 - 1 - 5*l**2 - l**3. Let y be m(-6). Suppose y*c + 1 = 4. Solve p + 3 = -c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/((-20)\/15) + 120. Let q = g + -77. Calculate the greatest common divisor of q and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 19*r**2 - 44*r - 5. Let k be i(-14). Let x = k - -400. What is the remainder when x is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 6*g - 468 = 0. Let d = g + -78. Let q be ((14 - d) + -2)\/(33\/22). What is the greatest common factor of 64 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1 = -5. Suppose -d - w*d = -6. Let f be (26\/(-14) + d)*2. Is f not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 2) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 54. Sort 2, -5, g, 1 in descending order.\nAnswer: 2, 1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-4)*(-162)\/(-45)*(-1150)\/(-621).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1570 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*644\/138\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(2\/15 + (-156)\/2520). Is k < 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 316820*h**4 + 192823 wrt h.\nAnswer: 1267280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -4.8. Let u = 4 + -3.9. Suppose -105 + 261 = -39*l. Which is the second biggest value? (a) l (b) d (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*s + 13 + 12 = 0, 2*s = 4*l + 10. Suppose 3*b - 3*m = 9, l + 3 = 5*b + m. Is (-1)\/b + 214 + -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**3\/6 + 6*p**2. Let x = -2 + 6. Let a(t) be the first derivative of t**2\/2 + 3*t + 11. Calculate x*v(y) + a(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2757756696 to the power of 1\/3, to the nearest integer?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 10*t + 5. Let o be n(7). Let p = o - 28. What is the third derivative of 79*f**2 - 71*f**2 - 13*f**5 + 2*f**p wrt f?\nAnswer: -660*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (0 - -11) - -16\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18 + -10 + -24*(-860)\/(-2475) and 74\/9.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = p + 2, z - 686 = 2*p - 688. Put p, 3, -146, -5, -1 in increasing order.\nAnswer: -146, -5, -1, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 2176 = 136*r. What is the remainder when r is divided by (-50)\/(-4)*(-4)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*q = -13, 11*d - 1305 = 6*q - 1270 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 2*m**2 - m + 2. Let k be q(3). Suppose -k*h + 2 = -10*h. What is the tens digit of (-128 - 3)*h - (-4 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.1 (b) 1 (c) 57\/4 (d) 0 (e) 141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -34412*j - 15726280. Determine a(-457).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8*s = 0. Let t = -3.52 + 0.52. What is the nearest to 0 in -0.4, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83424223?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 26 + 63)*(a**3 + 0*a + 0*a + a**3 + 0*a**3 + 3*a**3 + (3*a**3 + 2*a**3 - 3*a**3)*(5 - 1 - 5) + 0*a + 0*a + a**3 - a**3 - 2*a**2 + 2*a**2).\nAnswer: 207*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -69 and 231.2.\nAnswer: 162.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2*8.5\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41269 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = l - 0*l, 4*s = -4. Let a = l + 0. What is the derivative of 2 + 4*h - 4*h - h**a wrt h?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104 - 118. What is the common denominator of u\/((-7840)\/2225)*4\/10 and -91\/20?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 187932 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l*l**(-8\/19)*l*l*l)\/l**38)\/((l\/l**(-2\/33))\/(l*(l*l**(1\/44))\/l*l)))**44 assuming l is positive.\nAnswer: l**(-78899\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-42) + ((-6)\/21 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 49. Let v = j - -112. List the prime factors of v.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m**2 + 2*m + 2. Let d be c(-3). Let z = -61 - d. Let r(u) = -u**3 + 16*u**2 - 12*u - 12. Calculate the remainder when r(z) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228742, 457466, 686190, 914914?\nAnswer: 1143638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + -458\/9. Which is the smallest value? (a) v (b) 3\/22 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(224) + 1*sqrt(224)))\/(4*sqrt(192)\/sqrt(6)).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -381 - -971. Suppose 324 = -4*n - u - 2995, 5*u + 825 = -n. Let f = n + b. What is f rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15469a + 14?\nAnswer: 1546b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.81 - 1.71. What is the nearest to j in -0.2, -5, -17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 3. Let t = p + 19. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 16. Suppose -30 = -5*y - 4*g, 4*y - q*g + 7 = -10. Calculate the least common multiple of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 13126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 17*w**2 + w - 1. Let j = -65 + 82. Let b = 1 - -1. What is the lowest common multiple of b and c(j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 + 57. Let c = x + 9. Is ((-7365)\/c)\/(-1) - (-1)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/22, 7, 5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028033359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4492?\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 162722083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**6\/36 + 2*s**5\/5 - 7*s**4\/12 - 2*s**3\/3 + 13*s**2\/12 + 7046. What is c in b(c) = 0?\nAnswer: -13, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -12*t + 2*y, -2*t + 423*y - 426*y = -15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2958*(-16)\/(-144)*(1 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 minus -12.382?\nAnswer: 12.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l - 12. Let c(b) = -5*b - 13. Let t(n) = 5*c(n) - 6*v(n). Let m be t(7). Suppose m = -5*f + 57 + 8. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0814 times 110?\nAnswer: -8.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9)\/r*r*r*r*r**(-3\/5)\/r*r)**(-1\/2)\/(((r*r**6*r)\/r*(r*r\/(r\/(r**(-6)\/r))*r)\/r)\/((r\/(r\/r**(1\/3)))\/r**0)) assuming r is positive.\nAnswer: r**(-133\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-6 - -4) - -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3141691 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**4\/6 - u**3\/2 + 2*u**2. Let v be k(8). Let t = v + 48. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11500 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 188 = -50*k. Solve k*o - 3*o + 4*x = 15, -2*o = 3*x - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -50 + 0 + -3 + -7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -11)*((-13)\/(-5) + -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 + 2*o**2 + 0 - 2 - 38*o**3 as d*o**2 + v + j*o + t*o**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41 - (-5 + -4)) + (4 - -8).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -11*p - 21. Let j be i(-2). Put j, -2, -6, 3 in decreasing order.\nAnswer: 3, j, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11653488 divided by -7.\nAnswer: 1664784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 136 + -750435?\nAnswer: -750277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 34*u - 78 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v. Let b(g) be the second derivative of -5*g**4\/12 - g. Give k(b(w)).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 475910 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 1 - 11*r + 12*r. Determine p(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220195798 a multiple of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -14*r + 11*r - 38 + 13*r. Let h be i(5). Suppose -h = -5*y + 13. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 3*q - 270, 3*b - 4*q + 18 = 180. Let t = b - 21. Does 25 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29855, -4, 3, 130, 0.\nAnswer: -4, 0, 3, 130, 29855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 7) in base 6?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1888.924776 rounded to the nearest integer?\nAnswer: -1889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76919 is divided by 5916?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 2*u**7\/35 + u**6\/8 - 63*u**5\/20 + 8*u**4 + 10*u**3 - 607*u**2 - 2*u. Find b such that w(b) = 0.\nAnswer: -5, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215185446.\nAnswer: 2, 3, 7, 31, 89, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*w + 52 - 52 + 99*w in the form g + f*w and give f.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -33*n - 55. Let i be d(-2). Suppose -i*s - 112 = -18*s. What is the remainder when 18 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*s + 2*s, -2*s = 2*y - 1748. Suppose 2*a + 376 = y. Sort -5, a, 5 in ascending order.\nAnswer: -5, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/(-760)*3\/(5762\/(-1720) + 10\/8).\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1157 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 5*q + 18. Let k be c(4). Let y(s) = s**2 - 15*s + 17. Let w be y(k). Suppose 0 = -3*f - w*f + 18. Solve -f*o + 3 = -4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -10*m - 326. What is the remainder when 123 is divided by j(-34)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.13 to 0 decimal places.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g + 62. Let v be t(-8). Solve 3*k - v + 21 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -15*k**4 + 114*k**3 - 1626*k**2 + 9396*k - 19539. Let d(v) = 2*v**4 + v**3 - 2*v**2 + 2*v - 2. Let y(p) = 6*d(p) + u(p). Factor y(g).\nAnswer: -3*(g - 19)*(g - 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 4*g + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/19)*u*u\/(u\/(u\/u**(-1)))*u)\/(u\/(u**(-3\/5)\/u)*u**(3\/7))*(u\/(u*u*u\/u**(-8))*u\/(u*u**2\/u*u))**0 assuming u is positive.\nAnswer: u**(576\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -37. Calculate the remainder when (4 - a\/6)*10 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 429460 and 362480.\nAnswer: 3940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2293, 2292, 2291?\n\"Answer: -w + 2294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 383\/11 + (-4)\/(-22). Suppose 4*f = -2*x + 26, -5*f = -0*f + 5*x - l. What is the remainder when ((-1)\/1)\/((-2)\/34) is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25\/11 (b) 3\/4 (c) -5 (d) 1\/102 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 8, 1, -2 in ascending order.\nAnswer: -4, -2, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 306\/5 - 62. What is the nearest to -0.6 in c, -5, 3\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/39, 4, 3, 0.7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2. Let h(w) be the third derivative of 3*w**5\/10 - 16*w**2. Calculate v(h(c)).\nAnswer: 648*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3527930, 7055951, 10583972, 14111993, 17640014, 21168035?\n\"Answer: 3528021*b - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 8:42 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1058862332+-672\nAnswer: -1058863004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 104592.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(126)*1)\/sqrt(9))\/(1*-1*sqrt(2)) - ((sqrt(84)\/sqrt(3) + sqrt(7) - (0 + sqrt(567) + sqrt(7))) + 2))*-5)**2.\nAnswer: -600*sqrt(7) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -25 - n**3 - 3*n + 5*n**2 + 0*n**3 + 24. Let m be w(4). Suppose -5*h - 8040009 = -h - m*u, -12 = -4*u. What is h rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3 = -0*h. Let s(b) = -5*b**3 + b. Let v be s(h). Suppose v*f + g - 6*g = 13, 5*f + 4*g = 47. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -716639 and -34408.\nAnswer: -751047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 100076572.\nAnswer: 800612576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.81 + 23. Let y = -31.4 - -31. What is the closest to 1 in -5, y, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 0 - 11\/60*m**5 - 36*m**2 + 0*m**3 + 7\/12*m**4 + 0*m. What is the second derivative of f(d) wrt d?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 90, -2, 37, 7.\nAnswer: -2, 2, 3, 7, 37, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(17) + -1 + 2*sqrt(17) + sqrt(17) - -2*sqrt(68)) + 5.\nAnswer: 6 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b + 55. Let c be u(11). Let n be c*2*4\/16. Suppose -2*k + n*k - 4*p = -240, 3*p = 4*k - 425. What are the prime factors of k?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-112)\/98 + -3554*586\/(-28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 39 + d**3 - 55*d + 49*d**3 - 35*d**4 + 5*d**5 - 14 + 10*d**2 = 0. What is d?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 2:13 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9558 by -9.\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y**2 + 8*y - 3. Suppose 74 = 3*b + 89, 2*l - 17 = 5*b. Let q(k) = 6*k**2 - 7*k + 2. Calculate l*a(n) - 5*q(n).\nAnswer: -2*n**2 + 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 + w - 1. Let f be x(-2). What is the second derivative of -6*c**f - 10*c**3 + 9*c + 10*c**3 wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -10 + 4 + 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.4 - -5. Let u = -0.13 - 0.37. Let p be 4 + 21\/(-15) + -1*2. Which is the second biggest value? (a) u (b) s (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3\/1031081, 0.4, -0.3, -3\/2 in increasing order.\nAnswer: -5, -3\/2, -0.3, 3\/1031081, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-34) + 12\/(-102). Let r be (-2)\/(-12) + 2\/6. Is y equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 690.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*d**5 + 141*d**4 - 528*d**3 - 192*d**2 = 0. Calculate d.\nAnswer: -1\/3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 182 and 28.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c**(5\/8)))*c)\/(c\/(c\/(c*c**2))*c))**34 assuming c is positive.\nAnswer: c**(-187\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 i when three letters picked without replacement from ffeiiq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 53. What is the second derivative of -3*b**5 - 5*b + h*b**5 - 8*b + 5*b wrt b?\nAnswer: 400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6 - (-3 + 6). Let g(b) = -b**3 + 3*b**2 - 2. Suppose 0 = 2*v, 2*w - w - 3 = v. Let z be g(w). Which is bigger: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 17 + (48 - -12) + -77?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/51986 and -10\/21267.\nAnswer: 467874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72469*n + 72473*n - 3*g - 18 = 0, -2 = -4*n - 5*g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**4 - 113955*x**3 + 7*x**2 + 56*x - 81798?\nAnswer: 24*x**2 - 683730*x + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g - 3*g**2 + 4*g. Let h(m) be the third derivative of 7*m**4\/12 + 15*m**2 + 11*m. Give h(k(n)).\nAnswer: -42*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-10)*10\/12. What is the nearest to 1 in b, -2\/11, -13?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9*21\/70 - 30\/100. What is the closest to 0.1 in 4, r, 102\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -302264 (base 14) to base 9\nAnswer: -3037407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.047 - 0.373. Let t = 0.02 + d. Let r = -0.03 + 0.53. Put r, t, -3\/2 in descending order.\nAnswer: r, t, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -42*k**3 + 2*k - 2. Give l(1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -1270741?\nAnswer: 254148.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2430))\/((sqrt(80) - (sqrt(80) + sqrt(80) + sqrt(80)*-1 + sqrt(80) + sqrt(80)) - sqrt(80))\/sqrt(8)) + ((sqrt(12)\/sqrt(4))**2*-6 - -4*sqrt(3)*3).\nAnswer: -18 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 33 - 12 = 0. Let c(j) = 3. Let i(p) = p**2 + p + 10. Determine u*c(t) + 2*i(t).\nAnswer: 2*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2159579 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 + 21*s - 10. Let r be j(10). Let h be r\/(1\/2 + 2\/4). Solve -3*y - 1 = -u - 0, -2*y + u - 1 = h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*j = -8, -d - 38 = 4*j - 17. Let y = -2.05 + 0.05. Sort d, -2\/3, y in descending order.\nAnswer: -2\/3, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 117990000 to the nearest 1000000.\nAnswer: 118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7, -10, 23, 124, 311, 602, 1015?\n\"Answer: 3*r**3 + 7*r**2 - 59*r + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 8*k - 1. Let q be w(9). Let j = -5 + q. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f*f**(2\/5)))\/f)\/f*f*f*(f*f\/((f\/((f\/f**(2\/5))\/f))\/f))\/f)\/(f*f**(-2\/11)*f*f**(2\/9)*f))**(-12) assuming f is positive.\nAnswer: f**(5624\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 8) in base 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 54 = 21*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 3:34 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**8\/336 - z**6\/60 + z**4\/24 + 6*z**2 - 11*z. Let a(p) be the first derivative of l(p). Let a(j) = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 5*o**2 + 2*o. Calculate b(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592*v - 42522 = -10554 for v.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 3441435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 16.86436048?\nAnswer: 12.86436048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -5)*21\/6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 (base 14) in base 5?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -1 + (1 + sqrt(68) - sqrt(68)))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3483 + -3465. Do -84 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 3, -2141229 in descending order.\nAnswer: 19, 3, -2141229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence keek when four letters picked without replacement from {e: 4, k: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - (2 - -3))\/2. What are the prime factors of 2\/t - (-20 - -4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -10*y + 7. Let g(q) = 12*q - 8. Calculate 5*f(s) + 4*g(s).\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 263 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5267 + 11232. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-57) + 0 + 2. Let p = m - -2\/171. What is the common denominator of -23 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*c**3 - 57*c**2 + 56*c**2 + 86*c - 88*c + (3 + 0 - 4)*(-2*c**3 + 2*c**3 + 2*c**3).\nAnswer: 13*c**3 - c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**7\/10 + 7*y**4\/12 + 20*y**3\/3 + 116*y**2. Let i(n) be the first derivative of q(n). Differentiate i(r) with respect to r.\nAnswer: 252*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x**2 - x**2 - 27*x + x**2 + 34*x as p + l*x**2 + o*x and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 231303 + -4?\nAnswer: 231266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4731 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 11*h = 3*d - 98059, 4*h = -d + 32681. Suppose -54*f = -51*f - d. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 + z**3 + 2 - 45*z.\nAnswer: z**3 - 45*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6271 minus 0.4?\nAnswer: 6270.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**3\/3 + g. Let c(j) = 1 - 4 + 2. Let t(v) = -v - 1. Let q(x) = -c(x) + t(x). Calculate o(q(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1 = 5. Suppose 2*k - 6 = -3*v, -4*k + 9 = 3*v - f*k. Suppose 0 = -v*c - c + 40. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + (-15 - -19) + 19?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 2 - ((-1 - -5) + -182). Let q be (-1)\/((-6)\/480) + 0 + -4. Suppose 72*z + 88 = q*z. Calculate the greatest common factor of a and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -721 - -319. Let u = q + 831. Is 39 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}