diff --git "a/data/dm_maths/full_data_2/1027_11255.jsonl" "b/data/dm_maths/full_data_2/1027_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1027_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the remainder when 28831 is divided by 5765.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -6*a**5 + 18123*a**4 - 4719573*a**3 + 252081258*a**2 + 10260690132*a + 5066733672 = 0.\nAnswer: -26, -1\/2, 154, 2739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, -3, -82.03 in descending order.\nAnswer: 76, -3, -82.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = 2*r. Let d be r\/546 + 2\/(-13). Sort -0.2, 0.5, d in ascending order.\nAnswer: -0.2, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1216*w + 66909. Give j(-55).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t - 5*h = -18*t - 150851, -2*t + 3*h + 75409 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.0001, -0.21, -4 in ascending order.\nAnswer: -4, -0.21, 0.0001, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.4 + -32. Let h = -6 - m. Which is the biggest value? (a) -1\/3 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -55*h**4\/12 + h**3\/2 - h**2 + 1817*h. Give l(1).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3154487*y**5 - 5773785*y**2?\nAnswer: 189269220*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156537 - 213381.536?\nAnswer: -56844.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98136\/(-29986)*66\/63.\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*t + 21 = 2*t, -4*t - 12 = 0. Suppose -2*w - 237 = -3*s, -2*w - 3*s = -4*s + 239. Is (-2 - q\/6)*w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24780 rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/30)\/((-1)\/4) + 919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) 136937 (c) 693\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273 and 390?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, 21, 1\/2 in ascending order.\nAnswer: -0.8, 1\/2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aacdc4 (base 14) to base 4.\nAnswer: 302311303200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s - 11. Let o be l(-5). Factor 2*i**o + i**4 + 4*i**5 - 10*i**3 - i**5 + 4*i**3.\nAnswer: 3*i**3*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3169131635 divided by -5?\nAnswer: 633826327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*g**2 - 11*g**2 - 10*g - 22*g**2.\nAnswer: g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(1*1\/2). Let y(i) = -125*i - 377. Let h be y(-3). Which is the nearest to 1\/6? (a) d (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7002 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -0.3, -0.04, -2\/59?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 4*h + 4*h - 2*h - h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 4. Let x(r) = -1. Let y(h) = j(h) + 2*x(h). Suppose -4*n + 2*a = -18, 2*n + 3 = -4*a + 27. Determine y(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, 9285, -4, 1, -3, -2 in descending order.\nAnswer: 9285, 89, 1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j**4\/5 + 792*j**3\/5 + 3063*j**2\/5 - 244134*j\/5 - 69984\/5 = 0. Calculate j.\nAnswer: -16, -2\/7, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14745 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 + 28*o - 118. Let l be p(-10). Let -8\/3*n + 1\/3*n**l + 0 = 0. What is n?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + 14\/(-4))*30. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119612 divided by 29903?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 6*q**2 - 6*q - 3. Let f be u(-5). Let c = -1064 + 1078. Calculate the greatest common divisor of c and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + -0.0105753?\nAnswer: 50.9894247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j + 1. Let v(n) = n - 1. Let o(c) = -r(c) - 2*v(c). Is o(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y - 7*y = -8*y - 10680. Calculate the remainder when y is divided by 108.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*t = -38, -26 = -5*d - 0*d - t. Calculate the smallest common multiple of 24 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -8*r**2 + 83*r - 27. Determine t(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -776?\nAnswer: 23.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*j + 4*q, -q + 56 = 5*j - 3*q. Let u = 175 + j. What are the prime factors of u?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 219550?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -802 - -801.999998824. Round j to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359*q = 363*q - 730316. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2242 is divided by 144?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288 by -8.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 6 = 2*i, -3*g + i + 10 - 5 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -389825, -779648, -1169471, -1559294, -1949117?\nAnswer: -2338940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34749 is divided by 358.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -982104 + 982104 + 20*v**3.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 8*t - 39. Let m(v) = -v**3 - 3*v**2 + 11*v - 2. Let s be (-154)\/42 - 4\/3. Let x be m(s). List the prime factors of f(x).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times 0.3752\nAnswer: -0.078792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/8*(0 - (-4)\/(-6)). Let h = 494 - 493. Which is the biggest value? (a) t (b) h (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 5 + 0)*(0*v**3 - 5*v**3 + 3*v**3) + (-27 + 17*v - 43*v + 16*v + 3*v - 3*v + v + 4*v - 2*v - 3*v + (-4*v + 0*v + 2*v)*(-3 + 1 + 0))*(-v**2 - v + v).\nAnswer: 14*v**3 + 27*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-686)\/3430 - ((-2)\/5 + (-2237)\/65). Let 98\/13 + 420\/13*l + d*l**2 = 0. Calculate l.\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-4)\/(-10))\/((-50)\/1500) - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 74*n**2. Let w(p) = 27*p. Determine v(w(f)).\nAnswer: 53946*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 823 - 821. Find the third derivative of -147*h**4 + 63*h + 11*h**n - 11*h - 38*h wrt h.\nAnswer: -3528*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 13*m + m)*(-1 + m**3 + 1) - 3*m**2 - m**4 + 3*m**2.\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.035*0.03\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m\/(((((m\/(m*m\/((m\/(m**(-4)\/m*m))\/m))*m)\/m*m)\/m)\/m)\/m*m)*m)**(-6)*m**(4\/3)*m*m*m*m\/m**6 assuming m is positive.\nAnswer: m**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24759936 to the power of 1\/2, to the nearest integer?\nAnswer: 4976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33097050 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/25, -2\/3, -4?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2130 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 u**4 - 96*u**3 + 7*u + 5425 wrt u?\nAnswer: 4*u**3 - 288*u**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -862*b - 32046 = -9634 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 299295455 to the power of 1\/2, to the nearest integer?\nAnswer: 17300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341183 is divided by 67901?\nAnswer: 1678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, -3, -5, 0.4, 322?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 55*s**2 - 12*s - 40. What is the least common multiple of x(2) and 520?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((-15)\/(-6)*1). Find w, given that -6\/5*w + 2\/5*w**5 - 2\/5 - h*w**2 + 4\/5*w**3 + 6\/5*w**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7899 or -27?\nAnswer: 7899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*l + 8 = 9*n - 361*l, -5*n - 3*l - 12 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 - 16*k - 21. Let h(g) = 3*g**2 + 15*g + 23. Let j(q) = -2*f(q) - 3*h(q). Calculate j(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 84 = -5*t, 5*d + 0*d - 21 = -t. Let n be -2 - (-11 - t\/4). Suppose 0 = 5*h - 6*h + n. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*4\/10)\/((-6)\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8*w + 103. Let x be a(12). Suppose 12*y - 2*i = x*y + 18597, y = 5*i + 3724. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -941961570 divided by 5.\nAnswer: -188392314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, -60.6, 4, 0, 5 in decreasing order.\nAnswer: 120, 5, 4, 0, -60.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*((-2788)\/357 - -8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 3, 77?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {t: 2, v: 4, h: 5, x: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/5)\/(y\/y**(-12))*(y*(y\/(y\/(y**(1\/6)\/y)))\/y)\/y**(7\/5))**(-3\/5) assuming y is positive.\nAnswer: y**(433\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 275\/(-10)*(-956)\/2629\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*z - 267*z = -6335991. What are the prime factors of z?\nAnswer: 53, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 11*p**5\/30 + p**2 + 68*p - 148. Let l(v) be the second derivative of m(v). Let b(w) = 4*w**2. Determine b(l(k)).\nAnswer: 1936*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32 - 37*y**2 + 63 + 31 wrt y.\nAnswer: -74*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29145 divided by 3\nAnswer: -9715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in 3, -1\/8, -5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)\/n)\/n*n\/(n\/n**(1\/5))*n*(n*n\/(n*n*n\/n**(1\/4)))\/n**3*(n**1)**(-10\/3)*n**(-3\/2)*n*(n\/(n*n**(3\/2)))\/n assuming n is positive.\nAnswer: n**(-1013\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10992729, 21985467, 32978207, 43970949, 54963693?\nAnswer: 65956439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.38325 to 2 decimal places.\nAnswer: -6.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111 - 109 + 2292*h**4 - 2293*h**4 - h + h**2 + 214*h**3 to the form p*h**2 + d*h**4 + b + o*h + j*h**3 and give j.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 26*i**2 - 519*i - 18. Let o be l(20). Solve -2\/9*f**3 + 0*f**o + 2\/9*f + 0 = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 46488*r**2 - 265814088*r - 50496148928.\nAnswer: -2*(r - 11714)**2*(r + 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -2\/5654963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**4 - 3*k**4 + 3*k**4)*(0*k + 2*k + 7*k) + (34*k**4 + 350*k - 350*k)*(-6*k + 5*k + 2*k).\nAnswer: 25*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x - 5*x + 3*x**2)*(5*x**2 - 2*x**2 - 2*x**2) - 608*x**4 + 563*x**4 + 0*x - x - 2 to c*x**3 + y*x**2 + a + t*x**4 + s*x and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -357*u - 3020. Does 5 divide h(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - (-101 - -49)) + -4?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.961901 micrograms to nanograms.\nAnswer: 2961.901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 18 = -7*l. Suppose -4*i = -s + 16, -3*s + l*i - 6*i = 12. Let b be (2 - 36\/14) + s. Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-9))\/((-15)\/9). Factor 0*b + 2\/5*b**2 + 0 + o*b**3.\nAnswer: 2*b**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 24b527?\nAnswer: 24b52b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -8. Suppose 57 + 45 = a*w. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 0.06, 0.5, 5, 2\/203, -16 in descending order.\nAnswer: 41, 5, 0.5, 0.06, 2\/203, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 18922.\nAnswer: -94610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-837 + -25)\/((-2)\/11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uusluluuuluudu. What is prob of sequence ds?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -122, 8, 53, -5 in ascending order.\nAnswer: -122, -5, 8, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 3. Let w = r + 2. Suppose -3*m + 6*m - 12 = 0. Put m, w, -1\/3 in increasing order.\nAnswer: w, -1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (1 + (-2 - -2))*0. Is 1 + 831 - -3*x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -78.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 52*v - 625. Let q be d(32). Solve -q*a = -70 - 20 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4464 + -1?\nAnswer: 4463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-11) - (-24)\/(-231)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -1450\nAnswer: -8700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lllllllllllllllllqx.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 39\/2, 11.4, -0.767?\nAnswer: -0.767","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/18 (b) -105 (c) -1 (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3811, 2649, 1481, 307, -873, -2059?\n\"Answer: -3*f**2 - 1153*f + 4967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j + 2051 - 41243. Let f = j + -53532. What is f rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923757892.\nAnswer: 2, 61, 3785893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816906 is divided by 446.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 13496 = -2*d - 77385, g - 5*d = 63907. What is g rounded to the nearest one hundred?\nAnswer: 63900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (246 - 246 + 73140*i - 33096*i)*(-1 + 2*i - 4 + 3) to m*i**2 + u*i + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5 - 10. Let h be (-2)\/a - (-13)\/5. Let u(c) = c + 14. Let y be u(19). Calculate the greatest common divisor of y and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -35 (b) -1 (c) 51 (d) -4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11380 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, u: 4, b: 7, r: 3, s: 3}. What is prob of sequence esue?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**2 - 10*u + 40. Let t be z(5). Let l = 170 - t. Let y(h) = -2*h. Determine y(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45*q**2 + 304.\nAnswer: 90*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/13 - 2090*p\/13 + 390888\/13.\nAnswer: 2*(p - 801)*(p - 244)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/5*960\/2624. Is -8\/5 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) -10 (b) -0.3 (c) 0 (d) 330.36 (e) 5 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 149952505 to the power of 1\/2, to the nearest integer?\nAnswer: 12246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 882 = 8*f + f. What is the units digit of (-28)\/f - (-284)\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q + q - m + 4 = 0, 65*q - 101*m = 64*q - 404 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000000001 (base 2) to base 12.\nAnswer: -369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/182*4480\/960?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2878487, 5757111, 8635735, 11514359, 14392983, 17271607?\n\"Answer: 2878624*k - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -8. Let g = m + -3. Suppose a + 2 = -d - 0, -3*d = 2*a + g. Solve 0 = h - d*f, 0*f + 3 = -h + 5*f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6840 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 17*v + 8. Let b be y(-3). Let u = b - -88. Calculate the remainder when u is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 less than 96596941719309?\nAnswer: 96596941719309.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000002011122 (base 3) in base 6?\nAnswer: -344415455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 171\/8 - 39\/2. Find the common denominator of p and -14\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 25 = 3*b - 3*p, 3*b + 4*p - 20 = 0. Suppose -z - 4*z + 350 = b. Suppose 8*h - z = 3*h. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-7))\/((-4)\/56). Suppose -q = -2*x - 4*o, 2*x + 4*o - 12 = 3*o. Let u = -0.3 + 3.3. Sort u, x, -0.2 in decreasing order.\nAnswer: x, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 248*p = 242*p - 486*p + 8, v = 4*p + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*i + 74*i - 29*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1295 - -1300. Solve -19 = -5*g + 2*y, 6 = n*g + y - 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30279.\nAnswer: 3, 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5847 is divided by 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.0313872+-8898\nAnswer: -8897.9686128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -6. Let y be 0\/2*(-2)\/2. Let c(h) = -2 + y*h - 1 + h. Calculate c(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128771025?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011100000010001000 (base 2) in base 8?\nAnswer: 4340210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9924 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1101020324 + 12?\nAnswer: -1101020312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12862 = -2744*h + 3214 + 11364 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from {g: 1, d: 4, b: 3, z: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x - 206. Let q be i(30). Suppose 0 = -16*t - 320 - 0. Which is bigger: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.6 + -23.2. Let k = i + 32. Round k to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41623431.17685+-0.7\nAnswer: 41623430.47685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 276402 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**2 - 1 + 1)*(-2*x**2 + 0*x**2 - 1633 + 1660) in the form z*x**4 + h*x + n*x**2 + s + d*x**3 and give n.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -15)\/(1 + 0)*6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - -10. Suppose 5*m - 10 = 5. Solve -m*t = r - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.42 + -0.02. Let m = 2 - 2.1. Let l = 0.3 + m. Sort -3, i, l.\nAnswer: -3, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*f - 40 = 0, -576*i - 2*f + 70 + 40 = -586*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**2\/9 - 21952*s + 271063296 = 0. Calculate s.\nAnswer: 24696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(9\/(-315)*7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56614 is divided by 685.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7166720 and 1920?\nAnswer: 21500160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 3*a**2 - 5*a - 5. Let g be 0 - (1 - (-4 + 1)). Let o be j(g). Let d = 4 + -6. What is the third biggest value in d, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3\/7 - 4*u**2\/7 - 12*u\/7 = 0 for u.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1776 - -1775. Suppose -4*p + 0 = -16, -w + 4*p - 18 = 0. Put b, w, 4 in decreasing order.\nAnswer: 4, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -255 and -254 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**6\/120 - f**5\/20 - f**2. Let k be i(-3). Let y be (1 - k) + 3 + -1. Solve 3 - 12 = y*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -15*h**3 + 11686062*h**2 - 23372079*h + 11686032 = 0.\nAnswer: 1, 3895344\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15*((15 - 6) + (-1487)\/165)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 30*7*(-14)\/(-245). Solve 0 = 4*b + 2*r - 20, 3*b - 15 = -n*r + 11*r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -330 - -334. Does 15 divide ((-26)\/4)\/((g + -5)\/120)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((21 - (-7 - 3)) + -8 - 9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d = 26*d - 13*d - 5*c + 235, -20*d + 2*c - 196 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -11*g**2 + 4*g + 8. Let l = 19 - 15. Let m(x) = -x**2 + x + 1. Let b(h) = l*m(h) - a(h). Differentiate b(u) wrt u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 234 - 234. Let d(b) be the third derivative of b**5\/60 + b**4\/24 + 5*b**3 - 4*b**2. What is the remainder when 55 is divided by d(j)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/(20 - 2) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 312121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 8. What is the lowest common multiple of 2 and p(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100937 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.074 - -0.084. Which is the second biggest value? (a) n (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2700*n**4 - 1840*n**3 + 10298574*n**2 wrt n.\nAnswer: -64800*n - 11040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66304.55 take away -100470700?\nAnswer: 100537004.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01060313177 rounded to six dps?\nAnswer: 0.010603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.057+676\nAnswer: 675.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 904*m - 197874. Calculate u(-372).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**5 + 100*u**4 + 552*u**3 - 760*u**2 - 556*u + 660 = 0. Calculate u.\nAnswer: -15, -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 3:03 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 4919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9012288 divided by -3\nAnswer: 3004096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 11143*u**2 + u - 4*u + 10*u**3 + 11145*u**2. Let x(n) = 10*n**3 + 2*n**2 - 3*n - 1. Give 2*x(d) - 3*z(d).\nAnswer: -10*d**3 - 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 100, 151, 228, 325, 436, 555, 676, 793?\n\"Answer: -x**3 + 19*x**2 + x + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by -4210196?\nAnswer: -41\/4210196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 640*a - 11492. Give h(18).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -14. Let v be ((-15)\/3*10)\/(-2). Let g = v - 16. What is the remainder when g is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z + z + 4*z + 1)*(6 - 25 + 3)*(0 - 2 - 1) in the form f*z + v and give v.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + p = 2*p, 5*p = -2*j. Suppose -l = -3*q - j*l + 96, -4*l = -2*q + 74. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5*o - y + 2, -5*o = -5*y + 30. Let q(g) = 4*g**3 - 3*g + 3. Let u(m) = -35*m - 39*m + 0*m**3 - m**3 + 75*m - 1. Calculate o*q(v) - 6*u(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*n + 502 - 2528 = 0, -5*f - 3*n = -5061. Is f not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d**2 + 561*d - 561*d. Let z(o) = -1 + 2 + 15*o**2 + 11*o - 2*o - 10. Let p(m) = -7*m**2 - 4*m + 4. Let v(u) = -9*p(u) - 4*z(u). Calculate f(v(b)).\nAnswer: -54*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -90717678*h**3 + 3*h + 4. Let d be s(-1). Suppose 6*c = -117679 + d. Round c to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.4 (c) -336\/361\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 155, -0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1046 = 87*z - 27 + 199 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 278.371 and 12.9937.\nAnswer: 291.3647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p = -6127128. Let u = 4141078 - p. Let w = 3018702 - u. Round w to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.21 + -0.21. Let q = -10 + t. Which is the biggest value? (a) q (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-105)*9*1\/3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 4*g - g)*(-4*g + 2*g + g)*(g - 4*g + 6*g)*(-2*g + 2 - 2).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - (sqrt(121)*2 + sqrt(121)))*3)\/((sqrt(77)*-3)\/sqrt(7)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16038 and 324?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 - 60\/(-18)*3. Solve -x*a + 9 = -0*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12938 - -0.08605. Round k to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/60 + 3*4\/(-18))*2.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/6 and -83\/11120386.\nAnswer: 33361158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 3:51 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 + -45. What is the third derivative of -18*t**2 + p*t**2 + 3 - 7 - 82*t**3 - 13*t**2 wrt t?\nAnswer: -492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 29 (c) 17266 (d) 74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0439 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*v + 10 = -24*v + w, 3*v = -3*w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-1) + (118 - 120)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yllylyllyyyyyynly?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((6*1*sqrt(171))**2*6 + -4).\nAnswer: 184660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + 11 - -20) + -17\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -11 - (-75 + 65)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 6, -10, -1 in increasing order.\nAnswer: -10, -2, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5939*r**2 + 3067*r**2 + 2876*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12687*v**2 + 20 - 49 + 29 - 12660*v**2.\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -1\/4*h - 1\/4*h**5 + 9*h**2 - 9\/2 - 9\/2*h**4 + 1\/2*h**3 = 0.\nAnswer: -18, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 36*p**4 + 640*p**3 - 2340*p**2 + 2000*p - 336 = 0.\nAnswer: -21, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -53375 divided by -10675\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73 and 3669929.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4)\/q)**20*q**(-2\/21)\/(q*q**(-2\/5)) assuming q is positive.\nAnswer: q**(-1648\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-20) + (-39)\/65. Let h(g) be the third derivative of x - 7\/3*g**3 - 9*g**2 + 5\/24*g**4 + 0*g. Differentiate h(d) with respect to d.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -342 - -345. Let w be (-1 - 1)\/(-4 + i + 0). Put 4, -4, w in increasing order.\nAnswer: -4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/293 - -327\/4981. Sort -2\/3, i, -1.\nAnswer: -1, -2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - (-1*44 - 4). What is the highest common factor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/((-188)\/705).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13098999 and 48507.\nAnswer: 2109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-3)\/(-12) - 12\/16). Which is the nearest to f? (a) -0.3 (b) 4\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/17 in 1\/345, 3, -4?\nAnswer: 1\/345","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18489633 divided by -16377.\nAnswer: -1129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 965360 at least as big as 965349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -3, 9, -471526\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 6*i + 5*i. Suppose i = -5*a - 72 + 722. What are the prime factors of a?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1544 divide 1527561032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -71197442\nAnswer: -142394884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25 - 8e?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 11 = 17. Put 8, -3, 1, f in decreasing order.\nAnswer: 8, 1, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 383 = -2*x. Let t = 6513\/17 + x. Let i = 1 + -4. Put 5, i, t in decreasing order.\nAnswer: 5, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i + 11*i - 1 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 + -5.05. Let s be (2 - -3)\/((-200)\/(-1050)*15\/12). Sort l, -2\/19, s, 1 in increasing order.\nAnswer: l, -2\/19, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7030 and 13795672.\nAnswer: 68978360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 912884.824 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h = -256. Suppose 0 = -4*c + 184 + 200. Calculate the highest common divisor of h and c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-2\/3)))\/(a\/a**(-7))*a**(-1)\/a**(-3)*(a*a*a*a\/(a**(2\/7)\/a))**(-27)*a**(-4)*a*(a\/(a\/(a*a*a**(1\/3)*a)))\/a assuming a is positive.\nAnswer: a**(-2827\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 8*a + 128. Let f be c(-16). What is the fourth biggest value in 2, -5, f, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 14*q**2 + 48*q - 4. Give z(18).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -30\/7*d**2 - 10 - 150\/7*d - 2\/7*d**3. Factor i(z).\nAnswer: -6*(z + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**5\/3 - 695789*u**4\/9 + 3362858*u**3\/9 - 231919*u**2 - 1043644*u\/9 + 463840\/9 = 0.\nAnswer: -1\/2, 1\/3, 1, 4, 115960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + l + 40, -21 = 3*l - 6. Let j(n) = -n**2 + 6*n + 1. Let k be j(5). Solve 3*i - 2*i - 4*q - u = 0, 0 = 3*i - 3*q + k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.81315 rounded to 1 decimal place?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 1006 - 258. What is p rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 80, 75, 72, 65, 48, 15, -40, -123?\n\"Answer: -l**3 + 7*l**2 - 19*l + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 1. Let t(u) = -9*u - 4. Let v(q) = -10*q - 4. Let o = -91 + 35. Let b = o + 51. Let w(a) = b*v(a) + 6*t(a). Calculate -4*c(z) - w(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -455, -2140, -4951, -8888, -13951?\nAnswer: -20140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11213230023 (base 4) in base 6?\nAnswer: -51324443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 253 - 258. Let c = 20 - 20.5. What is the smallest value in c, 0, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(9*5\/(-675)). Which is greater: k or 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7558081\/28 - 270046. Let n = m + 870\/7. Find the common denominator of n and 63\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 2*r**2 - 3*r - 1. Let f be t(-2). Let a = -4 - f. Solve -z - 6 = z, -a = j + 2*z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2477320?\nAnswer: 2, 5, 61933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 1, 45 in increasing order.\nAnswer: -49, 1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -647.47 - -651. Let z = 0.47 + j. Let o = -4.85 - 0.15. What is the biggest value in z, o, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 56*y - 49. Let s be d(3). Let a be 4\/(-10) - (-8)\/20. Suppose 3*r = -7 - 2, a = -2*c + 3*r + s. Is 17 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 730120 by 146024.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-713)*897\/78.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 6. Let d(x) = 27*x - 3 + 3 - 22*x - 8*x. Calculate d(q(r)).\nAnswer: 6*r + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10120000 - -202220?\nAnswer: -2210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -209688*z + 6459184?\nAnswer: -209688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 204798, 204815, 204836, 204861?\n\"Answer: 2*q**2 + 11*q + 204785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2128616428 - -7.\nAnswer: -2128616421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -7) + (-1 + 0 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 + 35716749.\nAnswer: 35716748.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47932499 is divided by 660?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/21)*k*k*k**(3\/5)*k*k**(-4)*k**(-2\/5))**41)**(-1\/44) assuming k is positive.\nAnswer: k**(1927\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + w**2 - 4*w - 3. What is g(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/8 of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2. Let j = -91 + 178. Let o(m) = j - 87 - 6*m. Determine o(u(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 65\/29060611?\nAnswer: 65\/29060611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-170)\/(-17))\/((15\/(-3))\/(-5))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 14605*p - 5024146. Give j(344).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -12*r**2 + 85*r + 6. Let a be n(7). Let k(y) = -2*y**2 + 92*y - 22. Let p be k(a). What is the highest common factor of p and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/(3\/(-30)). Let b = s + 4. What are the prime factors of 3\/b*16\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554*p - 12093 = -111*p + 5627 for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b. Let t(y) be the first derivative of 7*y**2\/2 - 2. What is t(k(a))?\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1311121 and 0.06?\nAnswer: -0.007866726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44\/67 + -2\/201. Sort -0.5, 0, w in ascending order.\nAnswer: w, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/15)\/((-2)\/10). Calculate the common denominator of o\/5 + (-379)\/(-10) and 3\/21*4*(-161)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19565136 and 1368.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + 4*y)*(-5 - 3 + 7)*(-12*y**2 - 2*y**3 + 12*y**2).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -455*w + 889*w - 17 - 509*w + (1 - 4 + 1)*(-4*w + 2*w + 0*w).\nAnswer: -71*w - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-72)\/48 - 4150\/4. Let f = -372 - o. Is f a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.08 - 0.08. Let n = 51.04 + -50.71. Sort k, n, 0.3 in decreasing order.\nAnswer: k, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 317724 and 16269?\nAnswer: 5401308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17964724 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 0 + 14 + -3. What is the second derivative of i**2 + 3*i - 4*i**2 - f*i wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -0.1035?\nAnswer: -0.03105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -517184 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/3 - -1*67. Let k be (3 + -4)\/(3\/a). Let p = -19 - k. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - (3 - 3616))\/(-13*8\/(-208))?\nAnswer: 2, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 63*s**6\/10 + 19*s**3\/3 - 12*s. What is the second derivative of n(i) wrt i?\nAnswer: 2268*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/(54810\/116)*-5)\/(4\/170).\nAnswer: -85\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c430 - -ad1?\nAnswer: 1d121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thbbtttltltt. Give prob of sequence hl.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 16. Let y be n(10). Let s(l) = 9*l - 14. Let z be s(y). Suppose 27*c = 31*c - 40. Calculate the highest common factor of z and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128 - 127. Let d(j) = -j**3 + j**2 + 4. Let l be d(0). What is the greatest common divisor of l and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnujbukhunbkuh. Give prob of picking 1 h and 1 u.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -890 < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/15)\/m**(1\/4) assuming m is positive.\nAnswer: m**(-7\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6993, 6992, 6991, 6990, 6989, 6988?\n\"Answer: -s + 6994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.3701 - -17.833. Round r to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 6. Let z = 6.7 - n. Let s = -30.7 + 31. What is the third smallest value in s, z, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. Solve 0 = -2*n - o + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1250*32\/(4 - 2). Let j be (-138)\/(3 - 60003\/f). Round j to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**3 + 26*r**2 + 7*r + 25. Suppose -2*c + 4*g = -38, 0 = 2*c + 19*g - 25*g - 48. Calculate s(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 275544405 to the nearest integer?\nAnswer: 16600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2276930 and -58\/45.\nAnswer: 20492370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 2*d + 3. Let h(z) = -709*z**3 - z + 192. Let i(l) = h(l) - t(l). What is the second derivative of i(b) wrt b?\nAnswer: -4248*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15169050 divided by -1.\nAnswer: 15169050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**2 - 5*x + 2. Let c(v) = 4*v**2 + 3*v - 1. Give 8*c(h) + 5*m(h).\nAnswer: 2*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-2 + -4 + 3 + (7 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 197886273?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 12:16 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23227245.\nAnswer: 3, 5, 516161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 8*u**2 + 4*u - 3. Let n = 31 + -38. Let f be j(n). Calculate the greatest common divisor of 54 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 7. Suppose d*u + u = 16. Put -1, 1, u in increasing order.\nAnswer: -1, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 440941855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7670 divided by 119?\nAnswer: 7670\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bd20 + -1?\nAnswer: -bd21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 20 = -41*p + 42*p, 0 = p + 3*z + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208, -712, -1510, -2596, -3964, -5608, -7522?\nAnswer: -9700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217563521?\nAnswer: 7, 31080503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1611 - -59609\/37. What is the closest to -1 in i, 1\/3, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242563 = -107*n + 111*n + 3*w, 0 = 2*n - 3*w - 121295. What is the thousands digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.68 + -0.32. Let i = 489.4605 + -470.4605024. Let u = i + y. What is u rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 575534117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 - d**2 + 28*d**2 as p*d + r + a*d**2 and give a.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Solve -5*s**2 - u - s + 4 + 4*s**2 + s**3 = 0 for s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 12:21 AM?\nAnswer: 477","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**5\/60 + v**3 - 1. Let q(i) be the third derivative of k(i). Let j(g) = -11*g. What is j(q(t))?\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14.46 * 0.368\nAnswer: 5.32128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -474 times -233?\nAnswer: 110442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -32495*y**2 + 127*y**3 - 2 + 2*y + 0 + 32493*y**2 + y**4 as u*y**4 + x*y**2 + k*y**3 + o*y + w and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((4 - -30) + -27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (73 - 9) + -695 + 638?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3*c - 27 = 0, 726*c = -5*x + 729*c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5309521079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*a - 5*l - 10 = -77*a, -a - 20 = 5*l. Sort 88, 1\/2, -3, -3\/4, a in descending order.\nAnswer: 88, a, 1\/2, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347 + 828 = 37*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -555, -2236, -5051, -9000, -14083, -20300, -27651?\n\"Answer: -567*o**2 + 20*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1104141386?\nAnswer: 2, 552070693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 101 - 2)*(0*a - a - a).\nAnswer: -254*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 30 - 2)*(-2*u**3 + u**3 + 2*u**3).\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2 + 11371793*w + 45487156 = 0 for w.\nAnswer: -11371789, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, 5, -5 in decreasing order.\nAnswer: 177, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 0, 4, 2, -15 in increasing order.\nAnswer: -15, 0, 2, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*r + 25*r - 9*r + 88*r**2 + 87*r**2 - 173*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -10*q**3 - 5*q**2 + 9*q + 6. What is s(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*z - 11882898 = 102*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 1266, 2530, 3794, 5058, 6322, 7586?\nAnswer: 8850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.87 rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -112*t + 2. Let q(y) = 12*y. What is g(q(r))?\nAnswer: -1344*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: c1e (base 16) to base 6\nAnswer: 22210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*n + 3*n - 11*n)*(1 + 0 + 1)*(8 + 4 - 11) to x + d*n and give d.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 8*f + 10 = 5*s, 2*s - 5*f = -17. Solve -12 = -k + s*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108 - -188. Suppose 3*x = 3*f - 141, 2*f - 47*x = -43*x + 88. Calculate the highest common factor of j and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 101*q**2 + 43*q**2 + 45*q**2 + (-q**2 + 4*q**2 - 2*q**2)*(0 - 1 - 1) + (2 - 2 + 2)*(2*q**2 + 2 - 2).\nAnswer: 191*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - q + 19 = -6*f, -3*q - 18 = -3*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 - 80.69. Let n = -0.31 + z. Which is the fourth biggest value? (a) -0.2 (b) -0.1 (c) n (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*h + 10 = -k, -5*h - 25 = 3*k. Let b = 124 + -64. Let f be 157\/(-188) - b\/(-80). Which is greater: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -54102?\nAnswer: -54104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u + 1. Let b(p) = -59*p**2 - 13*p - 1. Let y(g) = -b(g) + d(g). Find the second derivative of y(c) wrt c.\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**3 + 1. Let z(g) be the second derivative of g**3\/3 + 13*g. Give o(z(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149264*c**5 + 33*c - 11 wrt c.\nAnswer: -2985280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -32256994680 - -0.02\nAnswer: -32256994679.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(1\/10))\/(z**(-1)\/z))**(-2\/25))**(-22) assuming z is positive.\nAnswer: z**(682\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 9*i**2 + 9*i. Calculate f(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from fcdkffhdtkdkdcf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 20*q + 4. Give d(4).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21588 by -5397.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 444*f**2 + 7*f + 448*f**2 - 886*f**2.\nAnswer: 6*f**2 + 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43295?\nAnswer: 5, 7, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7492701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 934 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041763 to the power of 1\/2, to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1818 by 18.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 31*l**2 - 199*l + 2569. What is q(-38)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 152, 143, 130?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 3 - 2)*(946 - 295 + 5*z - 411) to the form h*z + n and give n.\nAnswer: 2160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 11:11 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -814852 - -430722. What is i rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -189465, -758693, -1707407, -3035607, -4743293?\n\"Answer: -189743*s**2 + s + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51547, -413707, -1396713, -3310987, -6466951?\nAnswer: -11175027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34965.31ng to grams.\nAnswer: 0.00003496531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 11. What are the prime factors of ((-3)\/2)\/(2\/a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10\/7 - -164\/105. Let y be (-1*2)\/(3\/(-6)). Let k = 635\/18 + -71\/2. What is the third smallest value in d, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + -1 + 2 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*k + 14*k - 18*k - 68*k - 4*k to u + c*k and give c.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -6, -5, 6, 35, 2.\nAnswer: -7, -6, -5, 2, 5, 6, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 76, 12, 1, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 d, 1 r, and 1 u when four letters picked without replacement from {l: 6, f: 1, d: 2, r: 3, u: 5}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 2, p: 4, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3.1, 1\/7 in ascending order.\nAnswer: -2, 1\/7, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 12:19 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 77398019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 421933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 133567.87+-119909\nAnswer: 13658.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.13, 1, -4\/11, 2\/15, -742595?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - -3 - 7 - 1. Let w = 2 - a. What is the greatest common divisor of 70 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3978 - -3978.19. Which is the fourth biggest value? (a) -4 (b) 3 (c) -2 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*a - 3*a, 2*t - 5*a + 16 = 0. Suppose 66 = t*n + 72. Put -4, n, -2 in descending order.\nAnswer: -2, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**16)*x)**35\/(x*x**(15\/4)*x**18*x*x) assuming x is positive.\nAnswer: x**(2281\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 4*l - 4. Let b(h) = h**2 + 5*h + 5 - h**2 + 2*h**2 - 3*h**2. Let v(a) = -4*b(a) - 5*r(a). Let q(c) = -4*c - c - 3*c. Give v(q(d)).\nAnswer: -64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7992*f**3 + 15062*f wrt f?\nAnswer: -47952*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -92) + (10 + 6 + -14 - 5).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 3152.\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -211619198, -423238396, -634857594, -846476792, -1058095990, -1269715188?\n\"Answer: -211619198*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002795197968 to six dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/32 of a day?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5755470 divided by 15\nAnswer: 383698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*x + 11, -4*q - 3*x + 8 = -10. Solve 5*p = -q*d, -p = -5*d + 4*d - 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from {s: 5, d: 2, r: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 at least 0.25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 - 67*s + 47. Let r be f(31). Let w = -81 - r. What is the greatest common factor of 297 and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3087.7 + -0.14\nAnswer: -3087.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 9:35 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*m**3*x**2 + 15*m**3*x + m**3 - 2*m**2*x - 5*m**2 - 33*m*x + x**2 wrt m.\nAnswer: -96*x**2 + 90*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 - -76. Let u(k) = 2*k**2 - 8*k - 1. Let b be u(6). Let q = z - b. Solve q*s - 7 + 1 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(-14*k + 2*k - k) + (3*k + 4*k - 5*k)*(-1 + 5 - 2).\nAnswer: -22*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(128) + (6*sqrt(128)*2 - sqrt(128)) + sqrt(128))**2*-6 + ((sqrt(90)*-1)\/sqrt(9))\/(sqrt(50)\/(sqrt(10)*-3)).\nAnswer: 3*sqrt(2) + 259584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1399119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 q when four letters picked without replacement from {n: 2, q: 3, w: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 496\/7*g**2 + 31242\/7*g + 60516\/7 + 2\/7*g**3.\nAnswer: 2*(g + 2)*(g + 123)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 18*f + 6. Let w(m) = 62*m + 18. Let p(k) = 7*c(k) - 2*w(k). Let l(x) = -5*x - 17. What is -4*l(i) - 11*p(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 500 - 499.9. Let d = 802\/483 + 1\/161. Let t = 31 + -26. What is the second smallest value in d, p, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338479, 338483, 338491, 338503, 338519, 338539, 338563?\nAnswer: 338591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19123.882 - 19084. Let i = 0.118 + m. Which is the closest to -1? (a) -2\/9 (b) 1\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591418245 + 0.036?\nAnswer: 1591418245.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -218.42 rounded to zero decimal places?\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93\/342 + (-873)\/54 + 16 - 1123\/19.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 7*y + 5. Suppose 4*c = 4, -2*g + 5*c = -0*c + 15. Calculate j(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2. Let a(s) = -s**2 - s. Let q(y) be the first derivative of -3 + 2\/3*y**3 + 1\/2*y**2 + 0*y. Let l(h) = -a(h) - q(h). Determine p(l(m)).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-10))\/((-3)\/(6482\/814 + -8)). Let z = -7 + 6.8. Which is the smallest value? (a) 0 (b) t (c) z (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2*j - 20 - 10 = 0, -33 = 2*l - j for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8 + 3*f - 3*f + f + 0*f. Let p be s(10). Let g(b) = 4 - 2*b**3 - 4*b**2 - 3 + b + 4*b**p - 2*b**2. Calculate g(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 84*j**2 - 497*j - 18. Calculate g(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -425 + 707. List the prime factors of z.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45*8844\/(-1666170) - (-6)\/(-51)\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/5, 4, -0.048169 in increasing order.\nAnswer: -2\/5, -0.2, -0.048169, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51671.3ng to grams.\nAnswer: 0.0000516713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 18*o + 8. Let q be l(-15). Suppose -3*k + 5*w + q = 0, 0 = 5*k + w + w - 47. Is 8 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289, -282, -271, -256, -237, -214, -187?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 15*n**2 - 31*n - 103. What is the thousands digit of c(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**4 + 8 - 8 + 2*a**3 - 2*a**2 + 4*a. Let c(w) = 3*w**4 - 2*w**3 + 2*w**2 - 3*w. Let y(p) = 6*c(p) + 5*o(p). Solve y(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 11 (b) 90 (c) -6 (d) -149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.201 - -0.201. What is the nearest to -4 in -0.4, 2, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 8 + 3)*(0*l - 4*l + 2*l)*(-6 - 2 + 4) to f*l + o and give f.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(108\/(-324))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5040)\/(-9))\/(-35)*2?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 417 in 1\/6, 2\/3, -1.188, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**9*f**3*(f**(2\/9)\/f*f)\/f**8)**(10\/3) assuming f is positive.\nAnswer: f**(380\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 0.3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764*t + 773*t + 72 = 3*i, -24 = 2*i + 2*t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h - 3 = 3*o, 2*h - 4*o = 4. Suppose g - 5*g = h. Let m be g + (-6)\/(0 + -2). Sort m, 0, 1 in ascending order.\nAnswer: 0, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 8 - 7. Let u = 45 + -40. Put u, 2\/7, g in increasing order.\nAnswer: 2\/7, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(119)\/sqrt(28) - (sqrt(17)*-2 + -1)) - (5*(sqrt(68) - -2*sqrt(68)) - sqrt(68) - sqrt(68) - sqrt(68))\/(sqrt(144)*1).\nAnswer: -1 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*2*4 + ((2*sqrt(136) - sqrt(136)) + sqrt(136))*1)\/(sqrt(1152) - (sqrt(1152) + sqrt(1152) + 2*sqrt(1152)*-2 + sqrt(1152))))**2.\nAnswer: 425\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y. Let h be n(-5). Let a = 27 + -21. Let m = a + -6.3. Put 2, h, m in decreasing order.\nAnswer: h, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3139269.\nAnswer: 3, 7, 149489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115858 - 36098 = -63*c. List the prime factors of c.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.1, 3, 1\/42?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 27*j + 92. Let s be g(30). What is the third derivative of 6*c - 6*c + 2*c - 6*c**2 - s*c**2 - 66*c**3 wrt c?\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14088.545977 rounded to 1 dp?\nAnswer: -14088.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l**2 - 160*l + 3. Let q(x) = -17*x**2 + 315*x - 5. Give -5*j(h) - 3*q(h).\nAnswer: 6*h**2 - 145*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 355 + -207. Suppose q*f - 152*f + 2348 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**3 + 0*s**3 + 2*s**3 + (4*s**3 - 2*s**3 - 3*s**3)*(-2 - 2 + 6).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87 - -217. Suppose 3*a = -4*n + 425, 4*n - 5*a + 2*a = 407. What is the greatest common divisor of n and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -154.2 + 154. Let q = 115\/1158 - 73357\/254760. Let m = 1\/88 - q. Put f, 1\/6, m in decreasing order.\nAnswer: m, 1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3596 - -3666. Calculate the least common multiple of 95 and f.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5274?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.72 - 66.9. What is h rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 9:32 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 r when three letters picked without replacement from {r: 2, d: 2, l: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -22. Suppose w = -3*n - 5*q + 355 + 434, n - 4*q = 263. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35337629.\nAnswer: 35337629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 4*o + 6. Let u be q(-4). Let v = u + 0. What is the least common multiple of 2 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apggpgggpggbfgsggpp. What is prob of sequence gpsa?\nAnswer: 25\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 6232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**4\/6 - 7*d**3\/3 + 21*d**2 - 18*d. What is c(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 12 + 6 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23343904081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + h + 117 = 0, 5*h + 153 + 78 = 2*z. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -5.7. Suppose -5*s + m - 3 = 3, 0 = -s + 2*m - 3. Let i = s - 2. Which is the second biggest value? (a) l (b) 0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 13005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 15*g**2 + 3*g + 3. Let a(m) = -15*m**2 - 3*m - 4. Let i(h) = 4*a(h) + 5*l(h). Let k be i(1). Let z = k - -50. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 2\/9 (c) -4\/7 (d) -5 (e) 12.31 (f) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 2 + -5 + -2 + sqrt(17) + sqrt(612) - (-3 + (sqrt(68)*1)**2 + 3).\nAnswer: -73 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -37.\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57499891 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 224387185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2440)\/140 + (-3)\/(-7)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 249.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 3*d**2 - d**2)*((1 + 2 - 2)*(-d - 5*d + 4*d) + (-4 - 2 + 5)*(-2*d - 1 + 1) + 4*d - 4*d + d + 5*d + 2*d - 4*d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 1161.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 32 = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrxxrxmxzwwrbmrxzrm. Give prob of picking 4 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0054417 rounded to 5 decimal places?\nAnswer: 0.00544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 40 = -6*n. Suppose n = 4*b - 3*c, 3*b + 3*c - 3 = 27. Solve 5*z = -4*y - 10, -2*y = -y + b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2141 (base 12) to base 13.\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79987126?\nAnswer: 2, 59, 677857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 175 - -106. Let z = 1133\/4 - m. Suppose -9\/4*t**5 + 0 + z*t**4 - 1\/2*t**3 + 0*t + 0*t**2 = 0. Calculate t.\nAnswer: 0, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 67 = -103*r + 38*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 4*y + 10, -2*w + 4*y + 12 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/((-1050)\/4)*2\/(-2).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 - -4)\/(16\/(-8)). Let k be 1\/(j\/(-1))*-21. What is the smallest value in k, 2\/3, -4, 0.09?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 9009236*l**2 - 102808*l**2 - 1.\nAnswer: 8906428*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 3*w + 20 - 3*w + 6*w. What is the units digit of s(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -1331?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(0*v + 3*v + 0*v) + 3*v - 2*v + 0*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6117 (base 10) to base 6.\nAnswer: 44153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 10:07 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = 13*v - 138. Let n(o) = -4*o**3 - 2*o**2 + 1. Let f be n(1). Let i(z) = -z - 1. What is the lowest common multiple of v and i(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 39 + 3 = 0. Let m be (10\/6)\/(6\/f). Suppose 121 = m*q - 19. Solve 0 = -5*d + 2*v - 29, 2*d - 6*d + 4*v = q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346555609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -20464*b - 355. What are the prime factors of r(-2)?\nAnswer: 13, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) 5 (c) -0.3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 133 = -242. Let a = -29 - p. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2997 and 57589542.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.22 and 21060?\nAnswer: 21061.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373*j = 360*j - 1 + 1. Suppose 4*o + 3*u = -u + 8, 0 = 2*o - 2*u - 12. Suppose j = 5*g - 5*k - 125, 5*g - o*k = 141 - 21. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 31. Let s be o(-13). Calculate the highest common divisor of s and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 44912 (b) -5 (c) 0.46 (d) 2 (e) 1 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*s - 55*s - 48*s = -5*k + 200, 6 = 2*k - 4*s + 160 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 2 - (5 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 4 - 2)*(-2*f + f - f) - 6*f + 3*f + 0*f)*(-1 - 2 + 4) to the form y + x*f and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 23*i**3 - 16*i**2 - 21*i - 18. Let b be c(17). Suppose 37*v - 32*v = b. What is v rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 4*o**2 + o + 3. Let m be k(-4). Suppose 4*v - 2 - 2 = 4*s, 0 = -4*s - 5*v + 32. Let f = m + s. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/81)\/((-838)\/(-1257))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.24, -0.3, -5, 0.2 in ascending order.\nAnswer: -5, -0.3, -0.24, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 29*q + 183. Calculate h(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*a - 4416 = -3814, 4*a + 602 = 2*l. Calculate the remainder when l is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224867323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 27 = 3*z + 3*a, -4*z - 4*a + 32 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**2\/4 - 391937*l + 4703235\/4 = 0?\nAnswer: 3, 1567745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565374.\nAnswer: 2, 3, 94229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*q - 170. Calculate the common denominator of 11\/3 and (q\/(-2))\/(15\/(-3)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(320)*4 + -3 + 5)**2.\nAnswer: -192*sqrt(5) + 5129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-6)*72\/(-40)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26974 - 26974 - 2*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (63170 + 5*p - 63173 + p)*(-3 + 4 + 0)*(0 - 3 + 2) to j*p + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -201*s**3 - 16*s - 16. Let b(z) = 134*z**3 + 10*z + 10. Calculate -8*b(r) - 5*h(r).\nAnswer: -67*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059 a factor of 1260573403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 77461459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12242 + 142?\nAnswer: -12100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in -1\/12, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79.5 - 157.3. What is j rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3965*m**2 - m + 2. Suppose -d = 4*f - 13, 0*f = -d - 3*f + 9. Let j be y(d). Let o = j + -1690. Round o to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f - 68*f - 23 - 16 + 39.\nAnswer: -90*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*n*q*v*y + n*v**2 + 13*n*y - 99*q*v**2*y - 4*v*y wrt q?\nAnswer: -3*n*v*y - 99*v**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m - 45. Suppose 5*z + 3*h = -74, 5*h - 7*h = -4*z - 68. Calculate d(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 637976560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 806599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008256 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119 + -479\/4. Let z = 11\/4 - p. Factor -1\/2*v**5 - z*v**3 - 5\/2*v**4 + 0*v - 3\/2*v**2 + 0.\nAnswer: -v**2*(v + 1)**2*(v + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**4 - n**4 - 2*n**4)*(-104 + 60 - 77).\nAnswer: -242*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-231))\/((-3)\/(-21)*-2*(-332)\/332)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 6:48 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -10*c**4 + 295*c**3 - 140*c**2 - 145*c = 0.\nAnswer: -1\/2, 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7323552 and 74?\nAnswer: 270971424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1. Let w(o) = 80*o + 5. Let z(m) = -6*c(m) - w(m). List the prime factors of z(-6).\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-2\/5)*y)**(-1)*(y**(2\/11)*y)\/(y**(-2)*y))**49 assuming y is positive.\nAnswer: y**(-1127\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 1. What is i(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-240)\/621)\/(-2 - -4). Let t = v - 2\/69. Let k(p) = -23*p + 212. Let u be k(9). What is the biggest value in t, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*sqrt(36)\/(sqrt(36)\/sqrt(4)))\/(sqrt(10)\/sqrt(5)*-1 - (sqrt(2) + sqrt(18)*-1)))**2 + -5.\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49111 is divided by 12277.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18365000 rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*o**3 + 49*o**3 + 27*o**3)*(-1 - 1 + 5)*(-2 + 2*o + 2).\nAnswer: 120*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(-2*b**4 - 3*b**4 + 3*b**4) + (4*b**2 - 4*b**2 + 3*b**3)*(73 + 166*b - 73) in the form u*b + q*b**2 + w*b**4 + v + g*b**3 and give w.\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1033 * 2\nAnswer: -2066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302201201 + 123?\nAnswer: 302201330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709681 is divided by 70967?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -0.1, 3\/5, 6, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -88312*z**2 + 27*z. Let b be u(11). Let y = b + 20585455. What is y rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117838 by 14.\nAnswer: -8417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 40*i**2 + 100*i + 287. What is the hundreds digit of r(40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0 - 0) + (14 - 11). Suppose 0 = 9*s - g*s - 405. Calculate the remainder when s is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + 11.3. Let k = -3 + o. Let r = k - 9.1. Which is the closest to r? (a) 5 (b) 0.02 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2882.2 - 2882. Which is the third biggest value? (a) -3 (b) -1\/6 (c) 21 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36.1 - -35.7. What is the third smallest value in a, 3, -2\/17, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 5*c - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2447\/16 - 303\/2. Let n(k) = -12*k - 2. Let c be n(-1). Calculate the common denominator of h and c + (32\/12)\/(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/2))**33)**(2\/5) assuming h is positive.\nAnswer: h**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*k - z + 10 = 435*k + 40, -11*z = -k + 267 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/(-5) + (0 - 0). Suppose 0 = -5*k - 4*l + 3, -k + l - r = -5*k. Suppose -k*i + u = -0*u, i = -u. Solve -4*y = -i*y + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8248 and 12?\nAnswer: 24744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 13204*s**2 + 8*s + 10. Is f(-1) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.147399 decades in millennia?\nAnswer: 0.05147399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13095 and 5775865.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 6:27 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1313 = j - y - 425, -5*j + 2*y = -8681. What are the prime factors of j?\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40260 by 165.\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 0. Suppose 2*t + 5*d = 17, 3*t + 7 = -2*d + d. Let x be (24\/(-18))\/(t\/6). Solve 3*u = -a + 1, x*a + 3*a - 5 = l*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123687 is divided by 672?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 4*n**2 - 9*n - 13. Let h be c(6). Let w(r) = -h*r + 6*r + r. Let t(a) = a. Give t(w(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.072223 - 57.481?\nAnswer: -57.408777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 402 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 44 = -4*r, 450*r - 445*r = -2*f - 62 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 5:20 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -712*v**5 - v**4 - 4030*v**2?\nAnswer: -42720*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 - -366. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 10*c - 10. Let s be z(-8). Let g be 0\/(2*3\/s). Let j(p) = p**2 + p + 10. What are the prime factors of j(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54039009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (196 + 1)*-1. Suppose 5*s - a = -h, 0*s - 80 = -2*s + h. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-12 - (-4 + 30) - (24 - 20))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 1:50 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3407 + 10335. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.182 + -0.082. Which is the third smallest value? (a) -0.1 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 163 - 90. Let t = 103 - n. What is the smallest common multiple of t and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23240 and 2660?\nAnswer: 441560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2722 (base 10) to base 5.\nAnswer: 41342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 15. Let x(d) = h*d + 4*d - 2 + 1 - 3*d. What are the prime factors of x(6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 1 + 14 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 2) + 1*-1. Let q be 2\/4 + k\/6. Suppose -2*r + 3*g + 39 = q, 3*r + 2*g - 7*g - 56 = 0. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 2, -5, 4, 4297, 3.\nAnswer: -9, -5, 0, 2, 3, 4, 4297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - b**2 + b - 1. Let o(t) = -t**3 - 4*t**2 + 11*t. Let f be o(-6). Let z(l) = -l**3 + 4*l**2 - 7*l + 6. What is f*g(p) + z(p)?\nAnswer: 5*p**3 - 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q - 2 - 3*q + 2*q. Suppose 3*f + 6 + 0 = 0. Determine h(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -0.05, 0.3, -3.2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + k + 337, -4*b = -k - 310 - 363. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w**2 + 5*w + 9. Let u(n) = -11*n**2 - 8*n - 14. Let r(j) = 5*u(j) + 8*y(j). Suppose -f + 0 = 2. What is r(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5393724 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**8*w)\/w*w*w**(-1\/17))**(-31) assuming w is positive.\nAnswer: w**(-5239\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**6 + 168984*q**3*x + 9*q**2 + 53894*x wrt q?\nAnswer: -120*q**3 + 1013904*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 165338, 330751, 496164, 661577?\n\"Answer: 165413*r - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((35\/14)\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - 20*s**2 - 12*s**2 - 17 + 3*s**2 in the form f + j*s + q*s**2 and give q.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38, 31, 20, 5, -14, -37?\n\"Answer: -2*m**2 - m + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9362633*n**2 + 234*n**3 - 7146*n**3 + 9362633*n**2.\nAnswer: -6912*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4050 by 30.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.6791 rounded to 2 decimal places?\nAnswer: 14.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -1149\nAnswer: -5\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11776 and 247792.675.\nAnswer: 236016.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**6 - 1059694*t**4 - 3211*t**2 + 94*t wrt t?\nAnswer: 120*t**3 - 25432656*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102934877 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16 - -339.84. Let z = p - 340.5. Sort 1, -0.11, z in decreasing order.\nAnswer: 1, -0.11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1964402802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.011 and -4.584?\nAnswer: -0.050424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x. Let f(u) = 17*u. Calculate b(f(a)).\nAnswer: -17*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/5098923 and -7\/27.\nAnswer: 5098923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbv when three letters picked without replacement from ebeovebbeeccev?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6655*a**3 - 10889*a**2 + 5941*a - 1080. Let j(z) = -z**2 - z. Let f(b) = -j(b) - k(b). Solve f(h) = 0 for h.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e (base 15) to base 4.\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14562 = -25*i + 19*i - 298*i - 2098 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/45 and 61\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.0513 * -37\nAnswer: -1.8981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/((16*(-8)\/(-32))\/(-2)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7488691 and 35793.\nAnswer: 3977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1653925 and 992355?\nAnswer: 4961775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4.75?\nAnswer: -4.75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354517, 354277, 354037?\nAnswer: 353797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -4 + 16 + -3 + -3 + -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 + 51*g**2 - 2*g**3 - 64*g + 0*g**4 - 52*g**2 + 73*g - 3 in the form r*g**3 + y*g + c*g**2 + z + v*g**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2 - -4) + (-7 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, t: 5, a: 4}. What is prob of sequence tt?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.54738 rounded to 1 dp?\nAnswer: 23.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 168 = 6*p. Is -2 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2591266*z**2 + 70*z + 24. Let o be g(-4). What is o rounded to the nearest 1000000?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3) - (-388)\/(-12)*-46. Suppose 3*g - k = 12, -4*k = g + g - 8. Suppose g*l - 6268 = m. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 20. Let u be (-448)\/(-10) + (-4)\/o. Suppose 3*c + 0*c = u. What is the remainder when c is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, d: 2}. Give prob of picking 1 j and 1 d.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 - 4*t**2 - t - 2. Let k be r(3). Let c = -30 - -50. What is the highest common divisor of c and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-108)*6*(-20)\/((-320)\/(-432))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7875527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/(-2*sqrt(7)))\/sqrt(4) + -1 + sqrt(12)\/sqrt(4) + 4)**2.\nAnswer: 3*sqrt(3) + 39\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.89? (a) 34 (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2083430 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -26, 685, 3 in descending order.\nAnswer: 685, 3, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 3*c**2 + 5*c - 4. Is h(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.94 + 0.24. Let i(o) = -o**2 + 31*o - 243. Let w be i(16). Which is the nearest to q? (a) w (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 59\/15 - (-26)\/390. Solve a = -5*b + 16, -9*a - 4 = -m*a + 4*b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -3\/10*k**2 + 3\/100*k**5 - 3\/20*k**4 + 0 + 2*k + 3\/10*k**3. Factor w(r).\nAnswer: 3*(r - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1331))**2 + -2 + 3.\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 198160\nAnswer: -1\/198160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -355*m + 350*m - w + 8, 2*m = 5*w - 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 14911.\nAnswer: -14911.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 467 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.745921 decades in years?\nAnswer: 27.45921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440*j + 412*j = -6440. Calculate the greatest common divisor of j and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8b (base 16) to base 4\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, c: 1, k: 5, a: 3}. Give prob of picking 1 c and 1 s.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -154 - -155. Let z be (-10)\/(-15)*(j + 305). Suppose -7*t + 11*t - z = 0. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2714 - 229427 - 13537 = -3875*b for b.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -334 - -330. Sort 0, 2, v, 3 in ascending order.\nAnswer: v, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*(sqrt(11) + 0).\nAnswer: -4 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.6 + 4. Let r = 0.5999993 + j. Round r to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16663 (base 7) in base 5?\nAnswer: -123143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -143. Calculate the highest common divisor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 divided by -24878?\nAnswer: -78\/12439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v**3 - 2*v - 1. Let i = -1 - -5. Let p = -5 + i. Give o(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 528185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26412\/(-4473)*(18\/(-8))\/3*(-602)\/(-215).\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 13*k + 27. Let o be x(-7). Let y = -56 - o. What is the remainder when y is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -3*m**3\/2 - 12*m**2 + m. Let q(x) = -2*x**2 - 24*x - 11. Let u be q(-12). What is the tens digit of r(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 11 - 2. Let q be (0 + z - -17)*2. Suppose -2*j + q + 64 = 0. Calculate the remainder when j is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.636962 - 1.402.\nAnswer: -7.038962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -1181 (c) 0 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxjbjxjxx. What is prob of picking 1 x and 1 b?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26086497 and 519.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, i: 2, v: 1, f: 1, n: 1, r: 2}. What is prob of picking 1 i and 1 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 201523560?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8117 - -8123. Solve 0 = i*u - 11 + 17 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -164\/2225 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305, 1204, 2701, 4796, 7489, 10780, 14669?\nAnswer: 19156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/100 and -35\/52?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - z + 2. Let w be k(0). Suppose 6*g - g = h - 10, g = w*h - 2. Suppose 352 = 3*i + 3*v - 5*v, v - 1 = h. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 + 13*y**4 - 39)*(-3*y + y - y + (1 + 2 - 5)*(-y + 1 - 1)).\nAnswer: -13*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + o + 1. Let c(m) be the first derivative of -4*m**3 + 2*m**2 + 4*m + 1739. Calculate -3*c(u) + 12*r(u).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -266029, -1064223, -2394547, -4257001, -6651585, -9578299, -13037143?\nAnswer: -17028117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -12*b + 682. Let i(v) = 6*v - 456. Determine -8*i(o) - 5*s(o).\nAnswer: 12*o + 238","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 2*a + 1704*a**2 - 1704*a**2 + 2*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 - 78?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffufuuzkfzz. Give prob of sequence uk.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16931, -16985, -17039, -17093?\n\"Answer: -54*w - 16877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2805 and 1275.\nAnswer: 14025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.02 - 0.02. Let v be (-2 - -1)\/((-5)\/5). What is the third biggest value in -3, v, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 1. Let i(o) = 198*o - 18. Give -5*i(m) + 90*t(m).\nAnswer: -900*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*h - 7155 = -158*h. What is the least common multiple of h and 720?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6 = -3*x + 16, 2*x = d + 6. Suppose x*l = -2, -4*l + 6 + 50 = 5*w. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a kilogram in grams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o = -2*b - 29*o - 34, -3*b - 1 = -2*o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11356136 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-7)\/(28\/(-20)) - 3) + 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2) + -4 + 6. Suppose -2*p - 23 = -s, -2*s + 53 = h*p - 0. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from muuxuuuxuumuu?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(-4 - 1 + 2)*(8 + 11 + 6)*(2*v - v + 2 + 0)*(0*v**3 + v**3 - 3*v**3).\nAnswer: 150*v**4 + 300*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 210?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {x: 9, t: 11}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 3*x, -61*x = -65*x - 4*w + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -52*c**3 + 95*c**2. Let d(k) = 26*k**3 - 48*k**2. Let o(z) = 7*d(z) + 4*m(z). What is the third derivative of o(s) wrt s?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhohhoohoohhhhohhoh.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/12420411 and 23\/4140137?\nAnswer: 12420411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -585651 and -8?\nAnswer: 4685208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39529949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**3 + 1582*i**2 - 582521*i - 34709428 = 0.\nAnswer: -52, 817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2. Let k(a) = -14*a**2 + 12*a**2 + 18*a**2. Give s(k(p)).\nAnswer: -256*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 9:09 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(42) - (sqrt(42) - -3*sqrt(2688)))\/sqrt(6) - (sqrt(448) + 3*(sqrt(448) + 2 + sqrt(448))))**2 + 0.\nAnswer: -134508 - 2880*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*x - 3*o - 7, -2*x - 3*o = 5. Let b = -1117.1 + 1117. What is the smallest value in 1, b, -34, x?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115225 (base 6) to base 14\nAnswer: -3a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 702a (base 12) to base 10\nAnswer: 12130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {s: 1, x: 12}.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b**2 + b + 1. Let z be c(-1). Suppose 16 = z*x - 3*x. What is the units digit of ((-3)\/x)\/(2\/(-24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -449, -2\/23807, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26500639 is divided by 3194?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, -0.11, -16235.\nAnswer: -16235, -3, -0.5, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 709.6225 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 45. Suppose 5*k = g + 5. What is the closest to 0 in 3, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8025)\/107 - (-69 - -3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p = -27*p + 10. Let l(a) = -10*a + 9. Let m be l(-9). Let s(f) = -2*f**2 + 4*f**p + m - 99. Let q(x) = 18*x**2. Give s(q(i)).\nAnswer: 648*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 - -140. Calculate the remainder when u is divided by -1 - (-12 + -1 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - 3*t**2 + t**2 + (0*t + 0*t - 3*t)*(t + 133 + 145 - 138).\nAnswer: -4*t**2 - 420*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**2 - 67*p + 3*p**2 + p**2 - 23*p - 4*p**5 wrt p?\nAnswer: -80*p**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 137*t + 195. What is the hundreds digit of u(-60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/6 - 38*a**2\/3 + 1879*a\/2 + 16380 = 0 for a.\nAnswer: -117, -15, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 less than -1?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -542519*o**5 + 7*o + 21358?\nAnswer: -10850380*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 23*h**2 + 78*h + 80. Let g be y(-19). Solve 162*p = 141*p - g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 101, 391, 965, 1919, 3349, 5351, 8021?\nAnswer: 11455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.28 - -2.11. Let n = v - -0.17. Which is smaller: n or 0.01?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 2*k**3 + 298*k - 152 - 298*k as y*k**3 + z*k**2 + l*k + j and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -4200\/3383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 - -71. Let f be (-2)\/(-12) - p\/6. Let f*d - 1\/3*d**3 + 0*d**2 + 0 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3287, 6571, 9855, 13139, 16423, 19707?\n\"Answer: 3284*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 12:36 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -702.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -14*u + 176 - 55, 2*u = -2*x + 885176 - 885194 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3302726.\nAnswer: 2, 7, 17, 13877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 36285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - g + 10. Let v be p(0). Suppose 0 = 3*w + 3*u - 36, 4*w - 3*u = 83. Suppose v*h - 9*h = w. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(sqrt(1584) + 1 + -5)*4)**2.\nAnswer: -640000 + 38400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.2, 235, 1, -4.\nAnswer: -4, -0.2, 0.1, 1, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1983*d = -1987*d + 8. Let y = -7 - -29. Calculate the highest common factor of y and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odotmodlotdotlodplmd. Give prob of sequence mtll.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*p + 483*p = 4*x - 55, -3*p - 10 = -x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d + 2*d + 3*d**3 - 2*d**2 + 2 - 2*d**3. Suppose -4*c = l - 7, -l - 2*l + 4*c + 21 = 0. Let o be 2\/(-7) - (-23)\/l. Determine j(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*c**2 + 1 - 2*c - 74*c**2 + 37*c**2 to l*c**2 + z + v*c and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -11, 0, 7, -5, -1, 63 in descending order.\nAnswer: 63, 7, 0, -1, -5, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245988098?\nAnswer: 2, 19, 601, 10771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*k = 1, 2*k - 7 = 2*v - 3*k. Let q(j) = j - v*j + 2*j + 2*j - 7 + j**2. Determine q(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 8 = 2. Suppose 4*t - 8 = 3*n - 89, t = -s*n + 135. What is the remainder when 78 is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 a factor of 1339940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 4 (b) -0.2 (c) -12 (d) 5\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5838*g + 1132584. What is r(-194)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 + 156 = 14*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-10 - (-4 - 9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (192 + 4)\/4. Let h = -25 + i. Let v = 91 - h. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 0.4 (b) 3\/2 (c) -4006 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7, 7, 35, 83, 157, 263?\n\"Answer: n**3 + n**2 + 4*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 10*w**2 + 8*w - 22. Determine i(9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6297117.\nAnswer: 3, 139, 15101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*x**5 - 1043752*x**3 - 498908169*x.\nAnswer: 200*x**3 - 6262512*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 347330881 and 321?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 439 + -446.48. Let z = n + -2.22. Let k = z - -7.5. What is k rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2050*k**2 - 231*k**3 + 0 + 49\/6*k**4 - 17500\/3*k.\nAnswer: k*(k - 14)*(7*k - 50)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58 + 6 - 30 - 31 - a to the form u + q*a and give u.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 5, -12\/155, 1013?\nAnswer: -12\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/9 (b) -0.5 (c) -68 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 30, 823, 48, -3 in increasing order.\nAnswer: -3, 5, 30, 48, 823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5\/7 + 24*c**4\/7 + 116*c**3\/7 + 184*c**2\/7 + 18*c + 32\/7 = 0. What is c?\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 5 - -5) + -18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7426 and 16?\nAnswer: 59408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49602 (base 16) to base 5.\nAnswer: 34104141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299)*5 + (4*sqrt(76) - sqrt(76))**2.\nAnswer: 55*sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1921094129 to the power of 1\/3, to the nearest integer?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1682 - -1709.59. Let o = s - 27. Let l = o + -0.09. Put 1\/9, -2, l in increasing order.\nAnswer: -2, 1\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 1)*1 + 5)*-2.\nAnswer: -12 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -234893 + 234897. Factor 16\/17*j - 2\/17*j**5 - 10\/17*j**l + 8\/17*j**2 + 0 - 12\/17*j**3.\nAnswer: -2*j*(j - 1)*(j + 2)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20a68 + -113?\nAnswer: 20955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/21 + 666\/(-21). Let f = x + 49. Suppose -2*t + f = -25. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - 68\/(-14))\/(5\/350). Calculate the highest common divisor of 15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 354734088?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c. Let y(k) = -9259*k**2. Calculate x(y(m)).\nAnswer: -18518*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.7321303 rounded to 1 decimal place?\nAnswer: 108.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27890188 is divided by 865.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400) + (sqrt(400) - 1*2*sqrt(400)))\/((sqrt(20) - (-1*sqrt(100))\/sqrt(5))\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -231635364 (base 7) in base 12?\nAnswer: -4921849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1946 and 14?\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/2*-3 + (-7)\/7. Calculate the highest common divisor of 50 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 10 (b) -1 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, c: 2, f: 7, u: 4}. Give prob of sequence cc.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 14 = -3*x + j, 0 = x - j + 6. Let k be (-2178)\/(-330) + (-2 + 1)*7. Which is bigger: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5669*p - 3083979. Give l(-544).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1297 - 200.\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2163 = -7*w - 0*w. Suppose -u + 3*j = 75, -3*u - u + 3*j = w. Let h = -76 - u. Solve -i - h*i = 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 d when four letters picked without replacement from qkdqdkk?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -13*w + 3*w + 6*w - 13*w. Let g = -2 + 8. Let b(q) = -9*q. Let u(x) = g*a(x) - 11*b(x). Let y(t) = 2*t**2. Calculate y(u(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-24)\/681) + -6*(-2)\/32?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1082766 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-36))\/(3\/((-84)\/7))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, j: 7, q: 1, n: 6}. Give prob of sequence onno.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*x**4 + (4 - 4 - x)*(-2 - 4 + 3)*(2*x**3 + 4*x**3 - 4*x**3) - 7*x**4 + 5 - 5.\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 3604?\nAnswer: 3610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -18 - 9) + (1 - -1 - 27)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9300.754mg?\nAnswer: 9.300754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/28 and 33\/94?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2991520 + -2991518.800009. Let k = 1.12 - -0.08. Let d = v - k. Round d to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12988 - -13276. Calculate the greatest common divisor of r and 4096.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72793*t**3 + t**2 - 1542.\nAnswer: 436758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o - 19. Let r be z(-6). Suppose r*p - 14 = 6. Sort p, 0, -4.\nAnswer: -4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*q + 2 = 465*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/7920016?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1510 + 91*i**3 - 200*i**3 + 1497 - 87*i**3.\nAnswer: -196*i**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 13*h + 85. Let i = 5 + -9. Is (i - (-60)\/(-8))\/(1\/h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*o - 1. Let t(j) = 36*j**2 + j. Let u be t(1). Suppose 0 = -3*r - 12, 0 = -4*x + o*r + u + 35. Solve -a = 4*k - 17, 3*k + 3*a - 2*a = x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46488532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111000011100101011 + -10?\nAnswer: -11111000011100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxmjulh. What is prob of sequence llm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1887274.62s to weeks.\nAnswer: 3.12049375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4243 + 2141?\nAnswer: 11434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.3, 0.4, -5.18, 33, -3\/2 in ascending order.\nAnswer: -5.18, -3\/2, 0.4, 2.3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 234431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.08 (b) 3 (c) 2\/27 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(1\/1)*(-4)\/(-8). Let g = t + 8. Let d(a) = 2*a**2 - 1. Calculate d(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/7627560 and 91\/216.\nAnswer: 68648040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(153)*-1)\/((sqrt(72)*-1 - sqrt(72))\/sqrt(8) + sqrt(9)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 8*n**2 + 7*n - 99. Determine v(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*r**3 - 52*r**3 - 4 + 108*r**3 - r**2 + 1 to k*r**2 + m + y*r + f*r**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 15*z - 367. Calculate k(39).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 10:59 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**5\/5 + 19*t**4\/5 + 132*t**3\/5 + 428*t**2\/5 + 656*t\/5 + 384\/5 = 0.\nAnswer: -8, -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63111211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 10:21 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000175292 rounded to five decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 1, l: 1}. What is prob of sequence ku?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3836 is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 9?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26077031, -26077027, -26077023, -26077019?\nAnswer: -26077015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 9*v - 11. Suppose -44*u = -39*u - 35. Calculate q(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + d = 6 + 6, 0 = -2*o - 2*d. Let u be 4512\/84 - 6\/(-63)*o. Suppose 12*s = 18*s - u. What is the remainder when 20 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*c + c - 3*c)*(c**4 + 2*c**4 + c**4) - 2*c**5 + 1 - 1)*(-44 + 22 + 449).\nAnswer: 854*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 0, 3, 4, -55, -24362 in descending order.\nAnswer: 5, 4, 3, 1, 0, -55, -24362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770 is divided by 87.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35193 less than 140773\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*l = 120, -q - 4*q - 2*l + 490 = 0. Is 48 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 19 = -5*w, h + 4*w = 5*h - 4. Let m be ((-3)\/30)\/(h\/5). Let c = 0.5 + -0.3. What is the biggest value in c, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, v: 4, f: 2}. What is prob of picking 1 c and 2 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -2\/2051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - (-6)\/(-3) - 3. Suppose -64 = -4*x + 4*w, x + i + 7 = -5*w. Suppose 3*n - 51 = 273. What is the highest common factor of n and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 541791385 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000223488 rounded to six dps?\nAnswer: 0.000223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcssssdsssscsdbcb. What is prob of picking 2 d and 1 b?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -5376373.02 to the nearest 100000.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1797, -1799, -1801, -1803, -1805, -1807?\nAnswer: -1809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -15 + 3. Let z(t) = -9*t + 74. Let v be z(8). Solve j = p - 2*l - 2, -v*l - 6 = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -116?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -802212 or -802130?\nAnswer: -802130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 16 - 4)*(-51*a + 1249 - 1249).\nAnswer: -918*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9423229?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114.5469nm to centimeters.\nAnswer: 0.00001145469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 96 (base 14) to base 3\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14.91*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1323984 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*d - 2503 - 3294 = -112*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4208265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 0\/(-3))\/(-1). Let n(j) be the third derivative of 0 + 2*j**2 + i*j - 1\/420*j**6 + 0*j**3 + 0*j**4 + 1\/210*j**5. Find f such that n(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - -2*25\/(-10). Suppose 0 = h*w - n - 55, -2*w - n + 41 = -20. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 928 and 26272086?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 183 and 1277\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 41?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.02131 and -6249221.49?\nAnswer: 6249221.51131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -17830 - (-27)\/9 - -6. Is y*4*(30\/40 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129009 = 1739*i + 36842 for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 2*o. Suppose 0 = -5*y - 5, 0 = h + 5*y + 4 - 1. Let l be d(h). Let g = -4 + 7. Sort g, l, -4 in decreasing order.\nAnswer: g, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-20) - (-266)\/285.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10476576 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 20. Suppose -p*j - 4 = w - 12, 4*j = 2*w + 4. Calculate the smallest common multiple of (-5)\/(-1) + 2 + -1 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 17*l**2 + 2*l + 39. Let b be k(-17). Suppose -s - 11 = b*m, 2*s - 13*m = -8*m + 23. Solve -4*x = 3*r + s, 2*r - 3*x - 16 = -x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/5 + 4*n**3 + 8*n**2 - 16*n - 192\/5 = 0 for n.\nAnswer: -6, -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-10))\/(153\/7395). Find the third derivative of -s*a**5 - 73*a**5 + 253*a**2 - 65*a**5 - 107*a**5 + 51*a**5 wrt a.\nAnswer: -15120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 9:20 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 = -2*u - 206. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 8*z + 6. Suppose -5*y - 2 = -42. Let o be r(y). Suppose 4*q - 2*q - 12 = 0. Calculate the highest common factor of o and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107454878.21 rounded to the nearest one thousand?\nAnswer: 107455000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 - 72. Suppose 5*f + 19 = -k, -w*f = -2*k + 9 + 5. Are -1 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, a: 2, y: 1, r: 1, o: 1, s: 1}. Give prob of sequence aya.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 - 8*y**2 - 6*y**2 + 3*y**2 + 3*y**2 - 5*y**2 + (-2 - 1 + 4)*(2*y**2 - 2*y**2 + y**2) as d*y + w*y**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7803031 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 798 = -2*z, -2*z - 3*t + 280 = -514. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14671539.\nAnswer: 3, 23, 70877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -43*v**2 - 798*v - 191. Calculate u(-18).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 483 and 3023787.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8*x**3 + 21*x**2 - 5*x - 5. Let n(b) = 6*b**3 - 20*b**2 + 2*b + 4. What is 4*l(g) + 5*n(g)?\nAnswer: -2*g**3 - 16*g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11*-20.96\nAnswer: 230.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**4\/6 - m**3\/6 - m. Suppose -5*a = -r - 26 - 7, -r - a - 3 = 0. Let q be (-1)\/4 - 18\/r. Calculate n(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 7. Let u(m) = -x*m**3 + 0*m + m - m**2 + m**3 + 0*m**3 + 109. Is u(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*m + 78 - 12, 2*a + 6 = 0. Solve 2*f + m - 23 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40153 or -2363?\nAnswer: -40153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18265 and 146328221?\nAnswer: 3653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**2\/2 + 6084*j + 18507528 = 0.\nAnswer: -6084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11 - -12)*1*25. Let h = -16 + k. What is the highest common factor of h and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3814580 divided by -7?\nAnswer: 544940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - g**2. Let l be r(-1). Suppose l = y - 2*d + 1, y + 3 = d + 5. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22090?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -487, -1045, -1763, -2605, -3535, -4517, -5515?\nAnswer: -6493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*t + 317*t + 311*t + 321*t - 1270*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**3 + 10*u + 29. Let m(l) = 5*l**3 - 12*l - 30. Calculate 6*d(q) + 5*m(q).\nAnswer: q**3 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3. Suppose -6*q + 5*f - 5 = -q, p = q - 5*f. Let u = 6 - 5.6. What is the closest to -3 in q, 1, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94 + 112. What is the highest common divisor of f and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.661 - 4.0944. What is t rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*p + 3*a = 6, a = 2*p + 7. Let d(w) = 4 - 6 - 4 - 11 - 7*w. Let g be d(p). Solve 3 = -5*m - b - 4, 8 = 2*m + g*b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16568 times -4.2?\nAnswer: 69585.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 61067?\nAnswer: -61062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*b = -52*b - 835. Let v = b + 177. Solve -3*g = 2*g - 3*c - 17, -v = -2*g + 2*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7.399873 milliseconds?\nAnswer: 7399873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 - 3)*(-2*p**2 + 0*p**2 + 3*p**2)*(-p - p + 0*p).\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyyyvyyyyvyv?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 4*q = 36, 0 = 6*p + 4*q + 85 - 121 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89033165?\nAnswer: 5, 13, 17, 197, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -157 - -1101\/7. What is the second smallest value in -1, r, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-51) - 208\/34. Let d be (96\/(-14))\/(x + (-624)\/(-105)). What is the greatest common factor of d and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 344 - 352. Suppose 23 = -d + 2. Let n = s - d. Calculate the remainder when 49 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4\/3 + 185992*t**3\/3 - 1441933790*t**2 + 77796738116*t\/3 + 172898169680\/3 = 0. Calculate t.\nAnswer: -2, 20, 46489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d*o**2*x + 4*d*o**2 - 20*d*x**3 - 5*o**2*x**3 - 23*o*x**3 wrt d?\nAnswer: -o**2*x + 4*o**2 - 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 11:41 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126961*g + 126329*g + 29*g**3 + 3*g**2 - 3*g**2 - 253288*g.\nAnswer: 29*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7625, -15336, -23037, -30722, -38385, -46020, -53621, -61182?\nAnswer: -68697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.306726 rounded to 3 decimal places?\nAnswer: -0.307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m + 15. Let z be k(-7). Is 15 a factor of (-16 - z)*116\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523*l = -490*l - 96896 - 463312. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - c**4 - c**4 - 3 + 0*c**3 + 0*c**3 - c**4 + (0*c**3 + 0*c**3 + 3*c**3)*(-4*c - 2*c + 4*c) + c**4 + 0*c**3 + 0*c**3.\nAnswer: -8*c**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 - 3) + (-200)\/(-25). Which is the smallest value? (a) 0.2 (b) -155 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822545 is divided by 45694.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*t - 365, -4*m + m + 4*t + 214 = 0. Find the second derivative of 106*d - m*d - 157*d**2 + 147*d wrt d.\nAnswer: -314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.151891452 to four decimal places.\nAnswer: 0.1519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 84163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + a + 2. Let j(v) = 35*v**2 + 8*v + 14. Determine j(i) - 6*l(i).\nAnswer: 41*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -161 - -144.8. Let v = q - -16. Which is the second biggest value? (a) v (b) 3 (c) -4\/9 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 8:48 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 11. Suppose q - 78 = -5*s. Calculate the remainder when 51 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 249*y + 7.\nAnswer: -249*y + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 70.949, 0.5, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*a = 46, -3*a = y - 5 - 11. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 626549 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*o = -13418, 299*h - 297*h - 13394 = 2*o. What are the prime factors of h?\nAnswer: 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3 + 90*g**2 + 96*g - 184 = 0. What is g?\nAnswer: -2, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 7*p**5\/20 + p**4\/6 + 2*p**3\/3 - 6*p**2 + 33*p. Let q(l) = 20*l**2 + 3*l + 3. What is -3*i(d) + 4*q(d)?\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/22 and 109\/198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 690132.\nAnswer: 37957260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 1. Suppose -293 = -52*c + 71. Are u and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726100.2ml to litres.\nAnswer: 726.1002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 0. Suppose c*s - 102 = -3*s. Let i = s + -13. What is the remainder when 14 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 - 2*o - 3*o + 5*o.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 527 and 187.\nAnswer: 5797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7511*r**2 - 6*r - 18*r - 25*r + 7593*r**2 to the form a*r**2 + s + p*r and give p.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/27 of a day?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4, -125.35 in ascending order.\nAnswer: -125.35, -4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 1521 = -1513 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10403588056 rounded to the nearest one million?\nAnswer: 10404000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/7)\/a*a**(-13))\/(((a*a*a**4)\/a*a*a)\/a)**1 assuming a is positive.\nAnswer: a**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**4 - 2*w**3 - 2*w**2 + 14*w. Let r(j) = j**4 + j**3 + j**2 - j. Let c(p) = 2*r(p) + s(p). What is the second derivative of c(o) wrt o?\nAnswer: 84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Let l(f) = 111*f - 214*f + 116*f. Calculate s(l(z)).\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 50, 2683, 16?\nAnswer: 2683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 > 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*l**2 - 45*l**2 + 104*l**2 - 35*l**2.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 15*k - 17*k - 12 = 0, 0 = -2*t - k + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -5907*y + 5884*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2497 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/112 and 37\/44?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18 - 0*(-1)\/(-4). Let t = j - 14. Solve 7 = 2*h - 0*z + 3*z, z = t*h + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 q, and 1 p when four letters picked without replacement from {w: 2, u: 3, e: 3, v: 1, q: 1, p: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0, -3, 3\/4, -0.08, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-18)*4*-3. Let z = -11 - -16. Sort 4, n, z in decreasing order.\nAnswer: z, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-54)*(-27)\/(-18). Which is greater: 0.2 or f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1111010100?\nAnswer: 1111010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.06 + 0.06. Let s = p - -2. Let c = -9 + 9.4. What is the second biggest value in -5, c, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11022200010002 (base 3) to base 5.\nAnswer: -1041441213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -880 divided by 88\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q - 5. Let p(r) = -3*r - 11. Determine 5*f(j) - 3*p(j).\nAnswer: -j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 470*g + 6*g)*(-3*g - 3*g**2 + 3*g) - 2*g + 2*g + 2*g**3 + (2*g + 3*g - 4*g)*(-3 + 3 + g**2).\nAnswer: -1437*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2) + (6 - 9) + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(-36) + 4570\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1835274978.\nAnswer: 2, 3, 101959721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -687 = -7*o - 1. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**5\/60 + k**4\/4 + 19*k**3\/6 - 4126*k**2. Determine n(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2779 * 0.4.\nAnswer: 1111.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 29251344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4557298?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 612 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) 2390 (b) 5 (c) 4 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 + 6*c**2 + 4*c + 5. Calculate m(5).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 49 = -2*u + 57, -x = -5. Suppose -k + 84 = 3*k. What is the greatest common factor of k and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5813, -11865, -17917?\n\"Answer: -6052*h + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**3 - 52*w**2 - 208*w - 240 = 0. What is w?\nAnswer: -6, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7679, -15329, -22971, -30599, -38207, -45789, -53339, -60851?\nAnswer: -68319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -545.5 (c) -7 (d) 0.4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l + 3*l - 9*l**2. Suppose 2*z + 5*p + 35 = 7*z, 2*p + 4 = -3*z. Let q(k) = -23*k**2 + 44*k**2 - 20*k**z. Determine q(n(g)).\nAnswer: 81*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -157522 and 72064649?\nAnswer: 72222171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-3)*-23*-3?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.01, -2\/37, 5, 0.2?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 22 - 6)*(-6*n + 6*n + 4*n**4) to the form y*n**3 + r*n + l + q*n**2 + z*n**4 and give z.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32075881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 1 + 8 + 11*p + 2.\nAnswer: 11*p + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*p**3 + 258*p**3 + 2*p**3 + 57*p**3.\nAnswer: 351*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**4\/6 + 6*z**3 + 32*z**2 - 35*z. Find t such that u(t) = 0.\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 106 and 639362.\nAnswer: 33886186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/360 - ((-3)\/5 - -1). What is the smallest value in 3, 10, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*s**2 - 24215*s + 1156210.\nAnswer: -5*(s - 46)*(4*s + 5027)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28991919*t**5 - 290*t**2 - 249*t + 20 wrt t?\nAnswer: 1739515140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*k**3 + 8*k - 8*k - 416*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/115632 and 52\/9.\nAnswer: 115632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*n - 6. Let c = -18 - -20. Sort -3, n, c in increasing order.\nAnswer: -3, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i. Let x(v) = -2739*v. Determine b(x(p)).\nAnswer: 2739*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (302\/(-906))\/(1\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlnlnnnllllnnl. What is prob of sequence nlll?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 163088020 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: List the prime factors of 76747.\nAnswer: 11, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 5*l + 5*a + 18, -a = -l + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 - -641897748347\nAnswer: 641897748347.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*-1 + sqrt(190))*3)\/(1*sqrt(1210)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 7054 (c) -3 (d) -0.1 (e) 3 (f) 1\/5 (g) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19563462.\nAnswer: 2, 3, 1086859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/q**(-2\/5))*q**(-2\/3)*(q\/((q\/q**(-12)*q)\/q))\/(q**(1\/13)*q*q) assuming q is positive.\nAnswer: q**(-2953\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -117.037 rounded to zero decimal places?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**5\/40 + 5*u**4\/24 - 3*u**3\/2 - 9*u - 5. Let n(k) be the second derivative of h(k). Give n(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w - 6. Let s(l) = -2*l**3 + 2*l**2 + 2*l. Let z be s(2). What is h(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.163 and -250384?\nAnswer: -291196.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 4*z + 1. Let t(h) = 79*h**2 + 19*h - 3. Let p(r) = -16*r**2 - 2*r. Let m(d) = 5*p(d) + t(d). Determine 5*l(b) + 2*m(b).\nAnswer: 3*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 23*f + 3 = -20*f, -5*f + 13 = 3*p. Put -2, 2\/19, p in descending order.\nAnswer: p, 2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13186 and 0.11.\nAnswer: -1450.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -926*g - 445370. Determine z(-482).\nAnswer: 962","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 3*b = -1632. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 2. Let c(d) = 2*d + 10. Let o(q) = 3*c(q) + 15*k(q). Let l(j) be the second derivative of j**3\/3 + 4*j. What is o(l(b))?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((4\/(-16))\/((-1)\/(-18)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.6 * 31.\nAnswer: -824.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 6. Suppose 22*d - 21*d - 5 = 0. Suppose -2*m + 50 = -5*y, -3*y = -4*m + 2*y + 110. Suppose -m + 0 = -d*s. Let h(o) = 1. Calculate s*h(z) - l(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -724 + 10847?\nAnswer: 10123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**2*j**3 + 7*c**2*j**2 + 2*c*j**4 - 17*c*j**3 + 4*j**2 - 3*j wrt j?\nAnswer: -12*c**2 + 48*c*j - 102*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8672.3205 and 0.4.\nAnswer: 8672.7205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-1)*f))\/f)\/(f**(1\/6)\/f)*(f**(15\/7)\/f)**(4\/21) assuming f is positive.\nAnswer: f**(103\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**3\/3 + 12*j**2 - 98*j - 35. Let y be q(16). What is the greatest common factor of 330 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 2:44 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-6) - 57\/(-18). Suppose x + 3*v - 21 = 0, 5*x = x - l*v + 66. What is the greatest common factor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61178 by 5.\nAnswer: 61178\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55605956.\nAnswer: 2, 7, 449, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.81192 milligrams to tonnes.\nAnswer: 0.00000003781192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + 3*sqrt(66)*-3 + sqrt(66))\/(5*(-1*sqrt(6) - sqrt(6))).\nAnswer: 7*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 10:34 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -90*3\/((-15)\/2). Let h = -30 + b. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1825\/(-20)*(-2 + 0 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 44317622 + -1?\nAnswer: 44317621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 186 + -131. What are the prime factors of x?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 7:47 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 224 = 209. Which is the nearest to 0.4? (a) -1 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/15 - (-3)\/9)*88\/176?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-21) + (-81)\/(-42) + 1057\/302. Sort -1\/9, -0.06, d, -3, -0.16 in descending order.\nAnswer: d, -0.06, -1\/9, -0.16, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**6\/120 + 3*j**5\/20 + j**4\/12 - 2*j**3\/3 + 7*j**2 + 97. Give x(-8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 18*t**2 - 40*t - 3. Calculate o(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/((-850)\/(-60))*8\/(-176)*10?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 164117009 to the power of 1\/3, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 263671\/2808 + 79\/351. Let f = -94 + y. Is f bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6326902 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugun when four letters picked without replacement from ukgcubn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 11*n - 150. What is the remainder when q(16) is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34537 + -34537. Solve m = 195*s - 210*s + 90 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 - 3*f**2\/2 - 15*f\/4 - 2.\nAnswer: (f - 8)*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -27*x - 39*x - 385 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 21870 (c) -919\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34, -53, -92, -157, -254, -389?\n\"Answer: -w**3 - 4*w**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1519 divide 438228462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = 3*s + 63. Let g = 151 - s. What is the greatest common divisor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 350 (c) -1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -11*p + 56. What is a(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f**2 - 4*f + 7. Let x(k) = 4*k - 6 - 8*k + 7*k + 21*k**2 + 1 - 24*k**2. Determine -5*q(j) - 7*x(j).\nAnswer: -4*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 5*f**2 + 4*f - 3. Calculate r(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23195736 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 21734*s + 1 = -21735*s, f - 3*s = -1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7403, 7396, 7389, 7382, 7375?\nAnswer: 7368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 0.3 (c) -2\/23 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/70)\/((-39)\/(-104)*36)\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12258268 by -98857.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**3 + 6*r**2 + 2*r - 7. Let o(y) = -7*y**3 - 13*y**2 - 5*y + 16. Let d(p) = 5*k(p) + 2*o(p). Let w = -12 - -8. Determine d(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 2*t - 134. Let p be i(-11). Solve 0 = 7*q + 12 + p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4015093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -425 + 407. Let t be 76\/h + ((-272)\/72 - -4). Let d(r) be the first derivative of -r**3\/3 - 5*r**2\/2 + r + 1. Calculate d(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 51.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 311106, 310980, 310636, 309966, 308862, 307216, 304920, 301866?\n\"Answer: -18*v**3 - v**2 + 3*v + 311122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -9. Which is the closest to d? (a) -6 (b) -2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -229, -459, -691, -925, -1161, -1399, -1639?\n\"Answer: -z**2 - 227*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 617 + -607. Suppose w*l = -6*l + 1664. Calculate the remainder when 412 is divided by l.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 2, q: 5, w: 2, p: 1, a: 4}. What is prob of sequence oo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -1 + 0 + 69 - (-448 - -441). Solve -63*b + 105 = -p*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**3 + 7*v**2 + 7*v + 7. Let z(n) = -27 + 75 - 3*n**2 - 3*n + 6 + 2*n**3 - 30 - 27. Calculate 3*y(l) + 7*z(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*128344470\nAnswer: 10267557.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 10*u**2 + 10*u - 7. Let b be i(-11). Suppose -43 = -b*s + 45. Let d = 921 - s. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168450193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1340 and 13\/6671324?\nAnswer: 33356620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 19 + 41\/6*j**6 + 37\/2*j**2 + 0*j**3 + 0*j**4 + 0*j + 0*j**5. What is the second derivative of m(h) wrt h?\nAnswer: 820*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 j when three letters picked without replacement from ujjuuuugijguiug.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2179.2652 and -0.2.\nAnswer: 435.85304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 115, -7, 3, -35 in decreasing order.\nAnswer: 115, 3, -7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x**2 - 5*x**2 - 4*x**2 - 4*x**2 - 2*x**2 + 5*x**2 + (x**2 + 0*x**2 + 0*x**2)*(0 - 6 + 11) to the form f*x**2 + z*x + d and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 - 4*k**3 + k**2 + 2*k**3)*(-1 + 4 + 1).\nAnswer: -8*k**3 - 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/7)\/(g*g**(-4)*g)*g\/((g**(-1\/2)\/g)\/g)*g\/(g*g*g\/((g\/g**(1\/2))\/g)*g)*g assuming g is positive.\nAnswer: g**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 55 = 5*t + 165, 0 = -5*w - 5. Let g be (4\/2)\/((-14)\/t). Find the third derivative of 11*y**3 - 6*y**2 - 11*y**g + 3*y**4 wrt y.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8*u - 200. Let m be t(-26). Solve -4*s = -12 - m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 3*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/(-12) - 1\/(-4). Let u be 5 - 2 - (-12)\/(-1 + -3). Solve 2 = -u*q + z*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 + 143451.182598?\nAnswer: 143449.482598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-2)*7\/((-35)\/10). Let u be (-2 - 1055\/10)\/(w\/42). Suppose -325*t = -320*t - u. What are the prime factors of t?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-10))\/13*9\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -8, -2, -10, -1 in ascending order.\nAnswer: -41, -10, -8, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 2:11 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -7. Let o = k + -6. Put 1\/2, 1\/5, o in decreasing order.\nAnswer: 1\/2, 1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 344870 divided by -1\nAnswer: -344870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1166*x = 1161*x - 40 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 1, 7, -9 in increasing order.\nAnswer: -9, -4, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-28)\/2 - -3. Suppose 3*p - 3 = -u, 2*u - 1 = 2*p - 11. Let f be p\/(-6) - r\/(-6). Solve -4*l = -f*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 100. Let d be o(-10). Let u be 819\/42 + (-3)\/(-2). Suppose -22*r + 1 = -u*r. Solve 12 = -4*k - f, d = -2*k - 4*f - 5 - r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21111.\nAnswer: 3, 31, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167136.\nAnswer: 2, 3, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l**5 + 519*l**4 - 4412*l**3 + 9775*l**2 - 7748*l + 2028 = 0.\nAnswer: 2\/3, 3\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3 = 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 1:45 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 7\/3 (b) -0.2 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/((-14)\/(-7)))\/(-1))\/((-1)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 2*u**2 - 21*u + 6267. Calculate q(24).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -35*x + 70*x - 3 + 2 - 34*x + 0. What is p(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113427219.\nAnswer: 3, 83, 455531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*c + 5*w, 2*w + 14 - 24 = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 2. Let v be c(-5). Suppose -4*o = -3*o. Is o - (-329 + v)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70800.37 decades to centuries.\nAnswer: 7080.037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 10:54 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.52 + 0.08. Let k = 327 + -318.55. Let i = -3.45 + k. Which is the nearest to s? (a) i (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3131 - -2147. Let o = -984.00001876 - c. Round o to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 23*w**4 - 12*w - 1 + 13*w + 7*w**4 - 5*w**2 to the form a + g*w**2 + v*w**4 + t*w + o*w**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 6332146.999 to the nearest one hundred thousand.\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5, -4*r + y = -2*r - 3. Suppose 4*s + 2*j - 5 = -j, 5*j + 5 = -r*s. Suppose -36 = -4*f - s*w, -f + 4 = 2*f - 2*w. Solve -2*k - 4 = -f*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237688 = -565*d + 2171*d for d.\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7808725 bigger than -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24\/2363 (b) 3 (c) 1 (d) 47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5834, 11749, 17738, 23801, 29938?\n\"Answer: 37*v**2 + 5804*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from ffhohoxiooooso.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idi when three letters picked without replacement from {d: 14, i: 4}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 5*v + 376 - 136, 3*y = 5*v + 760. What is the remainder when y is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*v + 1 - 2 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6046 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -509 + 511. Suppose 2*n - p = -0*p + 24, -v*p + 12 = 2*n. Solve 5*i + 2*k - 25 = -k, -2*k = -2*i + n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 14*j - 1. Let v = 0 - 14. Calculate o(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 10703125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 9. Let d = 4 - c. Suppose 5*q = 2*q + 9. Sort d, q, 5 in decreasing order.\nAnswer: 5, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/35*(10\/4)\/5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.957*2.\nAnswer: -23.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 - -193. Suppose -7*x + 3*x + n = 0. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Let j be v(-2). Suppose -k + 3*b - 5 = -3*k, 2 = 4*k - j*b. Let i be k\/(-5) - 38\/10. Is i bigger than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 94, 185, 288, 409, 554, 729, 940?\n\"Answer: x**3 + 84*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -475178537\nAnswer: 475178542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k**3 + 102*k**3 - 54*k**3 - 6*k**3 - 10*k**3 - 8*k**2 - 21*k**3.\nAnswer: -4*k**3 - 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m + 4. Let v(r) = -2*r - 4. Calculate -5*c(x) - 4*v(x).\nAnswer: -2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 7*d - 4. Let u be 7\/2*2\/1. Let f be q(u). Let t = 7 + f. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 24*p**2. Let k(c) = -8639*c**2. Give k(n(j)).\nAnswer: -4976064*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2656747751 - 216.\nAnswer: 2656747535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from rfbusun?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 - (-30 - (-19 + 39))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c**3 + 6*c**2 + 6*c. Let f(p) = -8*p**3 + 13*p**2 + 13*p. Suppose 0 = -4*b + 42*b - 494. Give b*k(h) - 6*f(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 745\/4917*3\/(-5)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 3\/5, -1, 0.03, -0.1, 489, 18\/19?\nAnswer: 489","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 0.2 (c) 1 (d) 334\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/18 - ((-168)\/(-27) + -6)\/(2\/(-411))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = 2*g. Solve 2*r = -g - 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*f**2 - 38*f - 14.\nAnswer: -2*(f + 1)*(12*f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -9026*y - 776253. Give h(-86).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1327, -5254, -11799, -20956, -32719?\n\"Answer: o**3 - 1315*o**2 + 11*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*y - 10 = 0. Suppose -7*p = -3*p - 20. Let d(x) = 2*x**y + 7 - 2 - p. Let s(n) = 12*n. Calculate d(s(i)).\nAnswer: 288*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159 - 159 + 378*o**2 - 6892*o**2.\nAnswer: -6514*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22571 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: Sort -1, 4, -4 in decreasing order.\nAnswer: 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106.74 + -101.74. What is the fourth smallest value in m, -6\/5, 1.8, 0.02?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115760 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1884110377.\nAnswer: 1884110377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -90*p**5 - 26124*p**4 + 221350342*p**3\/5 + 17444121304*p**2 + 23247021816*p\/5 + 1549539072\/5 = 0.\nAnswer: -513, -2\/15, 736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8 = 2*b. Let o be b + -7 + 4*2. Suppose m - 4*m - 140 = -4*v, -v = o*m - 58. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*o - 1065*o**2 + 31*o - 50*o)*(-6*o + 0*o + 5*o) + (0 + 3 - 2)*(o**3 - 2*o**3 - o**3) as r*o**2 + j + m*o**3 + a*o and give m.\nAnswer: 1063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.61 - 6.39. Let d = 59.9 - 53. Let z = d + h. Put 0.1, 0.3, z in ascending order.\nAnswer: z, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 10*p + 8. Solve 3*k + p = 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/77 or -9802?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (219\/3)\/(-1). Let h = u - -140. Suppose 5*k = 4*o + 21 - h, 4*k = 5*o - 54. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 6*a - 6. Let b be x(6). Let r(h) = 0*h**2 + 209 + 6*h - h + 28*h**2 - 207. Let w be r(b). Round w to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -9*g**2 - 3*g - 3. Let v(m) = 152*m**2 + 52*m + 52. Let f(l) = -104*s(l) - 6*v(l). Let y(n) be the first derivative of n**3\/3 - 1. Calculate f(y(w)).\nAnswer: 24*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233701*k - 66 = -233697*k - 5*h + 45, -9*k - 228 = -4*h for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-6))\/(1\/2). Differentiate -r - 8*o + 13 + 2 wrt o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 7*t**4\/8 - 52043255*t**3\/8 + 37173743*t**2\/8 + 52043255*t\/8 - 18586875\/4 = 0.\nAnswer: -1, 5\/7, 1, 7434750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 11. Suppose -647*y + 594*y - 747 = -4457. What is the lowest common multiple of y and l(-7)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/27 + 17844\/162*(-5)\/10.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01044723 to 4 decimal places.\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 978, 1932, 2872, 3792, 4686, 5548, 6372, 7152?\nAnswer: 7882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*v + 32, c - 2*v - 13 = 17. Let r = 59 - c. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from quqjhjhju?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -6 - -10 - 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -1 - 14. Calculate the remainder when (-132)\/i*(2 - -3) is divided by (54\/48)\/(-9) - (-511)\/56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370711189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(2\/7)\/u)**21\/((u\/(u*u*u*u\/(u*u**(2\/7))*u))\/u*u)**(-3\/29))**(-5\/19))**(-8\/15) assuming u is positive.\nAnswer: u**(-8272\/3857)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143405380?\nAnswer: 2, 5, 31, 231299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48926?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, j: 6, p: 3, m: 3, c: 2}. Give prob of picking 2 m and 1 p.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/494 in 3\/2, -2, -1\/4, -163.7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*s + 33*s - 32*s)*(4 - 4 - 1)*(3 - 36 - 7) as o*s + f and give o.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.9 (b) 2\/3 (c) 1 (d) 0.3 (e) -0.4 (f) 218\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m*((m\/(m\/(m**(-7)*m)))\/m*m)\/m))\/m)\/m)\/m**(-1\/5))\/(m*m*m\/m**(-1\/4))**(-17)*(m**(-2))**(-13)\/(m**(-2\/9))**(-1\/25) assuming m is positive.\nAnswer: m**(77797\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/161, -1, -2.0591 in descending order.\nAnswer: -2\/161, -1, -2.0591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265840158, -265840156, -265840154?\nAnswer: -265840152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auuu when four letters picked without replacement from auaaaauaauaaua.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -0.0217?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 778575403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**2. Let q(t) be the second derivative of 0 + 0*t**2 - 1\/3*t**3 - 13*t. What is q(x(o))?\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 + 770*x**3 + 31845*x**2 + 167980*x + 136900.\nAnswer: 5*(x + 1)*(x + 5)*(x + 74)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13 - (54189520688\/56 + (-55)\/(-77)). Round d to the nearest 1000000.\nAnswer: -968000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49762\/4448 + 6\/(-32).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3860189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 28. Give p(3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -84 - 2*q + 139 - 55. Let z(o) = 5*o**2 + 10. What is r(z(y))?\nAnswer: -10*y**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2112825 is divided by 1066.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 707 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701186?\nAnswer: 2, 350593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (8 + 7 - 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1640.6256 and -0.4441.\nAnswer: -1641.0697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2\/7, 2.601?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -352 + -4?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + 0 + ((sqrt(170) - (2*(sqrt(170) - (sqrt(170) + -4*sqrt(170))) - sqrt(170))) + sqrt(170))\/(sqrt(10) - (sqrt(120)*-2 - sqrt(120))\/sqrt(12))).\nAnswer: 10 + 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -179 in -6, -0.03, 0.6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) -0.2 (c) 7\/5 (d) -0.1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 85 = -80. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 10*y**2 - 7*y + 5. Determine r(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 977165021 to the power of 1\/3, to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -834884842 from 29638.\nAnswer: 834914480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -395 - -1964\/5. Let x = 2 + h. Suppose -3*r + 1056 - 1053 = 0. Which is bigger: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -123, -206, -255, -276, -275?\n\"Answer: -i**3 + 23*i**2 - 145*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7680)\/(-2816))\/((-6)\/33)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 1134761647 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: What are the prime factors of 232?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -322221 + -2?\nAnswer: -322223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 5. Let v(x) = 4*x + 15. Let m(y) = -7*q(y) - 2*v(y). Let k be (-12)\/20*(-8 - 2). What is m(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.3. Let o = -0.98 - 0.02. Let m = -8\/3 + 19\/6. Sort m, i, o in descending order.\nAnswer: m, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 22758*a + 22755.\nAnswer: 3*(a - 7585)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**19*j*j*j\/(j\/(j\/(j\/j**(-29))))*(j*j**(-5)*j)**10 assuming j is positive.\nAnswer: j**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -286.26 and -228?\nAnswer: 65267.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-423)\/112 + 2\/(-7) and -8 - (-162)\/21 - (-414)\/420?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*y + 710 - 230 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 28c?\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 22224?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 160135, 160134, 160133?\n\"Answer: -w + 160136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1955 by -9.\nAnswer: 1955\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 42\/5 of a decade?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 minus -95.3?\nAnswer: 95.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(135) - 2*sqrt(135))\/(sqrt(15)\/sqrt(3)*1))**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 154 + -127. Calculate the smallest common multiple of k and 102.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/72 + 25\/(-9). Let u = -0.5 - 3.5. What is the smallest value in -1, u, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from nnvvvvnvvvvvvvvvvvvv?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(1\/3)\/i))**(-46)\/(i**(1\/3)\/i*i**(1\/2)))**(1\/37) assuming i is positive.\nAnswer: i**(-153\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 1445?\nAnswer: -1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.46 + 0.06. Let d = 5.4 + l. Let h = -6 - -6.3. What is the biggest value in 1.2, h, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4632631 (base 8) to base 10\nAnswer: 1258905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1890 and 210.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9136 smaller than 9134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/11012190 and 43\/4.\nAnswer: 22024380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -1791467190863.\nAnswer: 1791467190862.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 90952?\nAnswer: 90952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f. Let j(b) be the third derivative of b**7\/504 + b**4\/8 + b**2. Let g(q) be the second derivative of j(q). What is g(y(l))?\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1831469 is divided by 915674.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + m**3 + m**3)*(2 - m - 2) - 15*m**4 + 6*m**4 - m**4.\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 13. Let u(g) = 9*g**2 + g. Let w be u(-1). Let k be z(w). Suppose k*n - 64 = -24. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*w - 1 + 25, 2*w = 5*n + 30. Sort -4, 9, 1, -2, w in ascending order.\nAnswer: -4, -2, w, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**4\/24 + 2*i**3 - 220*i**2 - 3. What is g(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -128*h**3 - 3*h**2 - 3*h - 3. Let u(k) = -5504*k**3 - 128*k**2 - 128*k - 128. Determine -128*n(q) + 3*u(q).\nAnswer: -128*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/5)\/(2\/(-10)). Suppose 63*o + 92 = -286. What is the remainder when w + 0 - (-15 - o) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/440 and 21\/352.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 5*o + 29, -3 = -2*o - 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 9:09 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -85*u**5 + 815*u**4 + 1595*u**3 - 13575*u**2 + 11250*u = 0. Calculate u.\nAnswer: -75\/17, 0, 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5 - 48*c**4 + 84*c**3 + 6*c**2 - 87*c + 42 = 0. Calculate c.\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 8) in base 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 490\/(-28)*(-10608)\/(-14280).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3318*a - 3324*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + -1 + 19 + -18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5\/7 - 16*c**4\/7 + 306*c**3\/7 = 0. Calculate c.\nAnswer: -17, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f + 1. Let n be j(3). Let l be -2*(-8)\/(-24)*309\/(-1). Let d = 211 - l. Solve -5*s - n = -0*a - a, 5*a + 25 = -d*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49821674947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 390, 1563, 3518, 6255?\n\"Answer: 391*j**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*i + 3*h, 0 = 3*i + 2*h + 2*h - 28. Let x be ((-10)\/i)\/(1\/(-4)). Solve r - x = -0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*j + 411 = -149 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1216) + 0)**2.\nAnswer: -64*sqrt(19) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = i + 4*v, 3*v + 1 = -5*i + 4*v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 4 = 2*a. What is the units digit of ((-14)\/(-5))\/((-30)\/(-25) + a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*m**2 + 71*m**2 + 10452*m**6 - 16*m**2 - 5358*m**6 - 6330*m**6 wrt m.\nAnswer: -148320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 4:18 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12002222110 (base 3) in base 10?\nAnswer: 100587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -90305 or -90059?\nAnswer: -90059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18768837*i**4 - 342872*i - 19 wrt i?\nAnswer: -225226044*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 8 - 1914*a + 1902*a.\nAnswer: -12*a - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 707792541?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 2:43 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816814 is divided by 462?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 733 + -691.32. Let d = 0.27 + -41.27. Let i = d + v. What is i rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8\/44 - (3952\/(-44) - -3) is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 535036422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(10\/9)*v*v*v**17 assuming v is positive.\nAnswer: v**(181\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = v + 7*r + 3, 2*v - 12 = 5*r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 + 30*p - 26. Let j be z(14). Suppose 0 = f + b - 2250, j*f = 3*f - b - 2252. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1615922 divided by -1?\nAnswer: 1615922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2944690 divided by 295.\nAnswer: 9982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + (-1 + -5)\/(16\/192). Let s = -106 + 40. Is z < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-12) - -2)*(-4)\/(-30).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 + 2*i**3 + 8*i**3)*(4*i - 2*i - 3*i) + i**4 + 5 - 5 - i**4 - i**4 + 5*i**4 + (5*i**3 - 3*i**3 + 10*i**3)*(3*i + i - 2*i).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -35. Let w(p) = 3*p - 4*p - p**2 - s + 3*p**2 - 3*p**2. Suppose 0 = -7*c - 0*c + 21. Let o(y) = -y - 1. Give c*w(z) - 3*o(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.72122 to 2 decimal places.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/3 + 1 + (-164)\/12)*8068\/(-52442). Factor 5\/2*o**4 - 5\/4*o**5 + 0*o + 35\/4*o**3 + 0 + 5*o**z.\nAnswer: -5*o**2*(o - 4)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, c: 10, v: 3, p: 2, j: 1}. Give prob of sequence cpj.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9666293383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/8 - 5\/4. Sort f, -14, 0.5 in decreasing order.\nAnswer: 0.5, f, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-39225)\/(-40) - (-33)\/88?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/11 + ((-878)\/11 - -1). Let h be x\/(-3*(-1 + 6\/9)). Let d = h + 97. Solve 0 = -5*a + d + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 3*p + 52 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-9*104\/(-585))\/(((-12)\/(-25))\/(-6))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -265 - -263. Which is greater: a or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9.6, 0.2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 5*g + 8. Let d be m(-6). Suppose -211*y + 215*y = 12. Solve 31 = -y*p + 4*h, -6*p + d*p - 32 = -3*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 8*i**2 - 8*i + 10. Let m be p(7). Let h be m + 1\/(2\/(-8)). Let c = 2.1 + -2.1. What is the nearest to h in 1\/3, c, 4\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 7*q = -1048. Let c = -123 + q. Let b be (c\/12 + -1)*-9. Solve 14 = 4*y - 2*v, v - b*v + 14 = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -4, 198, -516 in descending order.\nAnswer: 198, -2, -3, -4, -516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -358*1 - 27\/(-27). Let i = b - -364. Solve -10 = 2*s - i*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 941 = 259. Let w = i + -168. What is the highest common factor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8679.86 + 8593. What is d rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 326*l - 2570. Calculate p(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-28)\/(-21))\/(-2)*-3. Suppose -614 - 468388 = -r - w*c, -3*r + 2*c = -1406998. Round r to the nearest ten thousand.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, 3164, -26 in decreasing order.\nAnswer: 3164, -5, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**5\/20 - x**2\/2 - 12*x. What is the derivative of f(j) wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761736389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q + 4*q - 120 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*n - 22, n + q - 6*q = -16. Let m be (2\/n)\/(5\/135). Does -12 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/(-357) - (-276)\/34. Suppose -11*v - m = -13*v. Suppose 5*o + 4*z = z + 404, 3*o - v*z - 254 = 0. List the prime factors of o.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 68*r**4 - 5*r**3 + 7*r**2 - 27. Let b(a) = 35*a**4 - 2*a**3 + 4*a**2 - 14. Let o(u) = 5*b(u) - 2*l(u). Find the third derivative of o(w) wrt w.\nAnswer: 936*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1950 and -17\/17634045.\nAnswer: 176340450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00165289 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 - 155 = -6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + ((sqrt(147) - (sqrt(147)*1)**2) + -5 - sqrt(147)) + -5 + (-1*sqrt(147))**2 + 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 2 = -3*i + 1, 3*g = 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/4)\/((-21)\/(-6)*-2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -1667578.\nAnswer: 3335156","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105*n**3 + 1347829*n**2 - 587429746*n wrt n?\nAnswer: -630*n + 2695658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 14*z - 553. Calculate l(40).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2921871 centuries in millennia?\nAnswer: 0.02921871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -63, -51, -23, 27, 105, 217?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2840708369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 1:59 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - -2121531?\nAnswer: 2121503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. Suppose -m*t + 5*t = 23. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*v + 6*v**5 - 2*v**3 + 30*v**2 - 3*v**5 + 6*v + 11*v wrt v.\nAnswer: 180*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 12, o: 7}. What is prob of picking 4 g?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 - 2*o**3 + 0*o**3)*((-o - 2*o + o)*(-1 + 3 + 0) - 13*o - 40*o - 5*o).\nAnswer: 124*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.4739 <= -5953\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 30*x**2 + 8*x - 8. Let j(i) = i**2 - i + 1. Let o(p) = -f(p) - 6*j(p). Let n be o(1). What are the prime factors of (0 - -4) + -8 - (n - -1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16.2682605 * 0.1\nAnswer: -1.62682605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/886 and 17\/16?\nAnswer: 7088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3253927 is divided by 1626958?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**3 + 2*r**2 + 10*r + 9. Let w be h(-1). Suppose -w*x + 4*p - 12 = 0, 16*x + 3*p - 5 = 18*x. Put 2, x, 4, 21 in descending order.\nAnswer: 21, 4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0632, 1\/4, -1.5, 2, 5, 1 in increasing order.\nAnswer: -1.5, 0.0632, 1\/4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/419717 and 23\/122844.\nAnswer: 5036604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 80\/60*3\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgxkogf. What is prob of sequence fgxo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/24 + (-6)\/(-54)*-3. Factor -1\/4*j**2 - f*j + 0.\nAnswer: -j*(j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {f: 14, w: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -198*x - 294. Let r(o) = -2*o. Determine r(j(m)).\nAnswer: 396*m + 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -13514 < -13514?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5 + 192*h**4 + 9219*h**3 + 8648*h**2 - 18060*h = 0. What is h?\nAnswer: -105, -86, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000062773 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*u**2\/3 + 251098*u\/3 + 167384.\nAnswer: (u + 2)*(11*u + 251076)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1036158 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 11986 = a - 4*o, 2*o = -3*a - 17975. Let j = a + 8998. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569476601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 10 + 0\/(3 + 0) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in -259, 0.279, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -184 + 193. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -197 + 191. Sort 245, v, 4 in increasing order.\nAnswer: v, 4, 245","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 = -2*a - 0*m, 0 = -3*a - 4*m + 6. Find the common denominator of -18\/7 and (-495)\/21*a\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 230 = -85*i + 43 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Solve 0 - r + w**3 - 3*w + 0*w + 5 = 0 for w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 129827?\nAnswer: -389481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -576.56 to zero decimal places.\nAnswer: -577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6123087 and 66.\nAnswer: 134707914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 239908?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 4*f + 26, -11*f + 6*f - 19 = 3*r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-1)\/(-15)*10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w + 462461 = -40*w + 460829 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 24*n - 26*n. Suppose 0 = -s + 3*s - 4. Sort 0.4, n, s in descending order.\nAnswer: s, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -444 and -448 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -1209, -4 in decreasing order.\nAnswer: 1, -3, -4, -1209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a century in years?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 101.72 and -0.03?\nAnswer: -3.0516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 130 = 4*p, -3*p - 3*m = -2*p + 29. Suppose -c + 216*r - 219*r - 39 = 0, -4*c + r - 130 = 0. Which is smaller: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 2*y + 2. Let z = 12348 + -12344. Let l(q) = -q**2 + 1. Determine z*l(p) - k(p).\nAnswer: -3*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141.78 + -62.94. What is q rounded to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3372 + 20149\/6. What is the common denominator of p and -9\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-5))\/(4\/106). Let r = b + 56. Suppose 6 = 6*u - r*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1438\/17 + -84. Let d = l + -87\/119. What is the second biggest value in 3, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*(-1 + ((sqrt(832) + -2 - sqrt(832)) + 0 + 3)*1) + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, c: 2, e: 2}. Give prob of picking 2 e and 1 c.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**9\/6720 - s**6\/60 + 7*s**5\/30 - 9*s**2. Let h(v) be the third derivative of l(v). Differentiate h(a) wrt a.\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 45. Suppose 0 = 4*s - n - 60. Suppose 14*p + 2*p - 80 = 0. Solve r = 5*y - s + p, -y + 3 = -3*r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5802833 rounded to one decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**2 + 9*t + 615. Let f(m) = 2*m**2 + 3*m + 205. Let p(j) = -8*f(j) + 3*h(j). Does 33 divide p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 8*l - 7. Let k be s(6). Let p(w) = k*w - 2*w**2 - 2*w + w**2 - 2*w. Let i(f) = 4*f**2 - 1. Let h(v) = -i(v) - 3*p(v). Determine h(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/12*4)\/((-936)\/(-8424)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*4 - (1444\/(-28) - -1). Let f = h - 46. Which is the second smallest value? (a) -2\/13 (b) 3 (c) 1 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 16*i**3 - 2*i + 2. Let u(h) = -h**3 + h - 1. Determine -2*u(m) - x(m).\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/1172 and -5\/3052.\nAnswer: 894236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1660634720?\nAnswer: 2, 5, 61, 229, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1508 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2473719?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) 1\/3 (c) 0 (d) -6 (e) -0.156\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*a - 6 = 0, -3*b + 4*b = 5*a - 19. Let h(w) = -w + 2. Let q be h(b). Let f(o) = 2*o - 7. Give f(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123002230 - 10?\nAnswer: -123002300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(28)\/sqrt(4)) + -5*(sqrt(11) - sqrt(11)*-1) + sqrt(11) + -3.\nAnswer: -8*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, p: 5}. Give prob of sequence ep.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 112\/(-28)*(-1877500 - 0). Suppose 0 = -5*t + 4*t + g. Round t to the nearest 100000.\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 108189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -206*v**3 + 9*v**5 + 37*v**5 + 206*v**3 + (-4*v**2 + 2*v**2 + 70*v**3 - 116*v**3)*(0*v**2 - 2*v**2 - v**2).\nAnswer: 184*v**5 + 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152 + -38. Does 34 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 20. Let x be (g - -15) + (2 - 1). Sort x, 1, -3 in increasing order.\nAnswer: -3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 t when three letters picked without replacement from gytyygyytyttgg?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 23*t**2 - 15*t - 149. Let n be g(22). Solve 0 = a + n*f - 10, a = -3*a + f - 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 - 11)\/(2\/(-16)*1). Suppose 2*h + o = -4*n, 5*h + 5 - 9 = -4*n. Which is the smallest value? (a) -8 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25883\/4110 + 1\/411. What is the common denominator of g and (12\/(-14))\/(36\/(-280))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -7 + -9 + (0 - -26)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-24) + (-65322)\/(-16). Suppose -13*v + 10*v = -d. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*h + 3*t = -112*h - 113*h + 37, -h + 20*t = 74 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 8, -4, 21, 3, 32, -5 in descending order.\nAnswer: 32, 21, 8, 3, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-615)\/45 - -14). Solve -4*p + 6 = m, -t*p + 75*m = 77*m - 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1992 and 55871616?\nAnswer: 55871616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 199 + -192. Which is the second biggest value? (a) y (b) -0.1 (c) -4\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*5\/(-20) + 6. Let n = 58 - 58.001. Let y = n - 0.499. What is the closest to 0 in -11, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/462)\/((-142)\/(-70) - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 924\/(-56)*4\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**5 - 3*t**4 + 155*t**3 + 2278*t**2 + 8?\nAnswer: 120*t**2 - 72*t + 930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*z + 4*y + 3636, 3*z - 5447 = -4*y. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16959.3 or -143?\nAnswer: 16959.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 - -4) - 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(475))**2*6.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 165591.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 8936*h**2 - 17880*h.\nAnswer: 2*h*(h - 2)*(h + 4470)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -39242 greater than -39800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -62*u + 4360. Is i(-90) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5533606.\nAnswer: 2, 13, 29, 41, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 11:25 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.54 and 1.5?\nAnswer: 8.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -133, -499, -1109, -1963, -3061?\n\"Answer: -122*l**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31535423 (base 6) to base 15.\nAnswer: -135a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l**3 + 2*l**2 + 2*l - 4. What is the remainder when 4 + (3 - 480\/(-3)) is divided by j(-2)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -45?\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 25\/10*4\/5. Suppose 5*d = -p + 115, -d + 3*p + p = -m. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from xizxxza?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (3 - -265*1). Suppose -329 = -5*g + z. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1476990?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9261, 18525, 27789?\nAnswer: 37053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18115, -18206, -18273, -18304, -18287, -18210, -18061, -17828?\n\"Answer: 2*s**3 - 105*s - 18012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-3\/4)\/w*w)\/(w**(-5)\/w))**(9\/4)*(w**(-5)\/w**(2\/3))\/(w**(-1))**(9\/2) assuming w is positive.\nAnswer: w**(619\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(8)\/sqrt(4)*4).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d - 5. Let c be l(5). Suppose 4*x + c = 17. Let i be x\/((-1)\/(-2)*2). Solve -i*m - 9 = -0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 + -2115415?\nAnswer: -2115355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 + -7 - (795*17)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -10*l**2 - 5*l. Let y(x) = -70715*x. Determine a(y(b)).\nAnswer: -50006112250*b**2 + 353575*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 11022?\nAnswer: 11021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 196\/(-784) + (-9)\/(-132)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4 + 5 = 0. Suppose -3*u - 5*a = -0*u + 5, 0 = -c*u - 4*a - 1. What is the greatest common factor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1476, 6088, 13818, 24660, 38608, 55656, 75798, 99028?\nAnswer: 125340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4863, -4824, -4785, -4746, -4707?\nAnswer: -4668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 2.869\nAnswer: -0.17214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2609596?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v - 13154*v**5 + 36*v**4 + v - 60*v**3 - 100*v**2 + 13150*v**5.\nAnswer: -4*v**2*(v - 5)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-12)*1)\/(10\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 48*i - 4 - i**2 + i**3 - 44*i - 3*i**2. Let u(n) = -n**3 + 3*n**2 - n + 1. Let c be u(2). Calculate g(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4850401, 9700807, 14551213, 19401619, 24252025, 29102431?\nAnswer: 33952837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1764 (b) -6 (c) -2 (d) 0.05 (e) -293\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 235.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149386?\nAnswer: 2, 113, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 243 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1356 - 81 = 3*n. Suppose -n = -7*d + 352. What are the prime factors of d?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 928847 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 3:22 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, a: 2, j: 1}. Give prob of sequence aa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = f - 4993, -14989 = -48*f + 45*f - 5*p. Does 116 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -0.921.\nAnswer: 0.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -424119 + 212058 - v**4 + 212054 - 14*v**3 - 6*v**2 + 2*v to f*v + w*v**4 + g + n*v**3 + j*v**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 33 = -28*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1770959814 to the nearest integer?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 338, 269, 200, 131, 62, -7?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + c**3 - c**3 + c**3 - c**3 + c**3 + (4*c**2 - c**2 - 4*c**2)*(0*c - c - c) + (-c**2 - c**2 + 0*c**2)*(6 + 4 - 4)*(-5*c + 3*c + 4*c).\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 13\/60*f**5 + 3\/40*f**6 + 0*f + 0*f**4 - 8*f**2 + 0 + 0*f**3. Find the third derivative of g(r) wrt r.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4882228111?\nAnswer: 59, 3541, 23369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 7410192.3455493?\nAnswer: -7410189.3455493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8965 + 22963. List the prime factors of j.\nAnswer: 2, 3, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.644 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/66 + 32\/(-96).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (387 - 387 - 19*f)*(3*f - 4*f + 0*f + (2 - 1 + 0)*(10 - 10 - 3*f) + (-1 + 3 - 4)*(5 - 6*f - 5))*(3 + 0 - 5) as w + g*f**2 + p*f and give g.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -66067302 + -3794.335?\nAnswer: -66071096.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x\/(x\/x**(-1)))\/x*x**(-4\/3)*x*(x\/x**(-6))\/(x*x*(x**(-3\/10)\/x*x)\/x))\/((x**(2\/33)\/x)\/(x*(x*((x\/x**(2\/3))\/x)\/x)\/x*x))**(-27) assuming x is positive.\nAnswer: x**(-9371\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 divide 91850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 776 + 95 = 0. Let m = -92 - d. What is the highest common factor of 10 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*h + 17*h - 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77 - 20) + -8 - (-5 - -5)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 522240 - 4?\nAnswer: 522234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b + l = 4, -3*b + 16 = 5*l. Suppose -4*k - b*q = -2*k - 12, 0 = -5*k - 3*q + 28. What is the highest common divisor of 35 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.308 - 0.3069. Let k = l + -0.0010226. Round k to 6 decimal places.\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 12*n - 20. What is p(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346936.9ml to litres.\nAnswer: 346.9369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 4. Suppose n*x + d = -d + 36, 4*x + 4*d = 40. Solve -3*b - 6 = -l, 4*b + 3*l = l - x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30399 is divided by 7595?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93994356?\nAnswer: 2, 3, 31, 37, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 z when two letters picked without replacement from oozzzozzoz.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 - 6*g + g**4 + g**2 + 6*g**3 - 3*g**4 + g**2 - 4.\nAnswer: 2*(g - 1)*(g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 77 + 473. Suppose -a = 4*a - t. Suppose -5*m - 4*u = -0*u - 12, -3*m + a = -5*u. Solve 3 = -m*d + d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*(-325)\/(-125)*5\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4096.851 months to years.\nAnswer: 341.40425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z**2 + 85*z - 16. Let v be l(11). Find the common denominator of 9\/(-6)*(-27)\/v and 13\/88.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 divided by -65128?\nAnswer: -123\/65128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 12167485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1274 is divided by 631?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m**2 + 8*m**2 + 11*m**2 + (-2*m + 0*m + m)*(0*m + m + m).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2199 - 2131) + (1 - (0 + 4)) + -13?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**5\/20 + w**4\/8 + w**3\/3 + w**2. Let y be l(3). Let h = y + 27. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 8 - 2. Suppose p = -z*b - 3, 4*b + 18 = 3*p - p. Factor -40*c + 13 + 21*c**p + 47 - 5*c**2 - 7*c**3 - 9*c**3.\nAnswer: 5*(c - 2)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 579\/2237 - -500\/6711. Factor 0 + p*k**3 + 1\/3*k + 2\/3*k**2.\nAnswer: k*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -3*m - 60. Let w = 14 - m. Which is the third biggest value? (a) w (b) -2\/5 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.29 times 0.0241567\nAnswer: -0.007005443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 6*m - 7. Let x be y(-6). Let o be (x\/(-4))\/(2\/8). Suppose 0 = 5*k + o - 82. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500382 a multiple of 518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 9190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/15 greater than -18.75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -21. Suppose -t*b + 4*b = 28. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -5*r**4\/12 + 105*r**3\/2 + 325*r**2 - 4*r + 471. Factor v(g).\nAnswer: -5*(g - 65)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**2\/2 + 6*w. Let l(c) = -c**3 + c + 2. Let u(g) = 6*b(g) + 3*l(g). Factor u(f).\nAnswer: -3*f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1930.499kg?\nAnswer: 1930499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-15)*r*((r*r\/r**7*r)\/r)\/r assuming r is positive.\nAnswer: r**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8 + 0*d**2 + 11*d - 12*d**2 + d**3 + 23 - d**2. Let o be l(12). Suppose q - 2*w + 4*w - 201 = 0, o*q = -4*w + 603. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((1\/(-2))\/(12\/24))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/81 and 4971\/221130 + 38\/(-665).\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.281 and 15627.\nAnswer: 15627.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/18 and -62\/63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -6. Suppose -34*r = -184 - 632. Which is bigger: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -69 - 12*x + 69 as n*x + g and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 13. Suppose t + 3*t = 0. Suppose t = 5*a - 103 - 37. What is the remainder when a is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 292\/17 = 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10*x - 21*x + 10*x + 30. Let o be h(12). List the prime factors of 3982\/o - 1\/((-45)\/(-10)).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4212 and 15.\nAnswer: 21060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -217 in descending order.\nAnswer: -1, -6, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from {o: 1, z: 5, l: 2, n: 3, c: 1}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114816829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -7*o + 12*o. Let w = -30 - o. Suppose -232 = -2*j - w*b, 3*b + 246 = 2*j + b. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (2 + 2)\/4. Calculate the greatest common factor of 13 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11234 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + (-190)\/15)\/(553\/(-105) + 10\/2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 1035345.\nAnswer: -32\/1035345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/20925354 and -5\/41850708.\nAnswer: 41850708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + (((sqrt(1573) + -1)*-1)**2 - ((sqrt(1573) + 1)**2 - sqrt(1573))*6 - (1*-1*(1 + sqrt(1573)))**2).\nAnswer: -9438 - 110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(0 + 4*k + 0)*(5*k - 2*k - k) + 2*k**2 + 1 - 1.\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -29*w**3 - 59. Let t(g) = 24*g**3 + g + 50. Let j(o) = 6*t(o) + 5*v(o). Calculate j(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {q: 2, r: 10}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -7*i**3 - 21*i**2 - 9*i - 15. Let o(g) = -4*g**3 - 11*g**2 - 4*g - 7. Let a(k) = 5*o(k) - 3*p(k). Give a(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14.4, 0, -0.22, 8, 2.\nAnswer: -14.4, -0.22, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7973 is divided by 1988?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - -23. Let h = 81 - m. Let a = 127 - h. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1756?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/30*-1*1. What is the nearest to 0.1 in -0.4, 0.02, f?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-5\/3)*p*p**3)\/(p**(-3))**(-1\/10) assuming p is positive.\nAnswer: p**(91\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 28849 = -3*r + 6698, 59225 = 5*r + 5*v. List the prime factors of r.\nAnswer: 7, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 - 2*z + 6370. Calculate f(-57).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 9:39 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104*(-38)\/304 - ((-215)\/15)\/1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 189 = 201 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 670.63 + -667. Let k = f + -5.33. Is -17 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 36, 59, 96, 153, 236?\n\"Answer: d**3 + d**2 + 13*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*g = -20*g + 1616 - 35 + 606 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*d - 3*u + 25 = -331*d, d - 12 = -2*u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 6, m - 4*k = k + 6. Solve 0*o - 2*a + m = -2*o, -1 = -o - 2*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 3 - 13, -c = -h + 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3\/4 - 2500251*c**2\/4 + 1875186*c = 0. What is c?\nAnswer: 0, 3, 2500248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from ggglgtgtvgcltcctc.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a gram in milligrams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -268053, -268054, -268055, -268056, -268057?\nAnswer: -268058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*a**3 + 72*a**3 - 68*a**2 - 2*a**3 + 3*a**2 as w*a**3 + n + j*a**2 + x*a and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1 + 5*s - s**3 - 3 + s - 6*s**2. Let v be u(-7). Solve 2*d + v = 7*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-264)\/42 + (9 - -6)*4\/10. What is the fifth smallest value in -3, 9, i, 27, 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -531*x + 588*x = -0 + 684. Let l = 11 - 8. Solve 3 = -l*c - i + x, -i = 4*c - 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k - 8. Calculate n(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - n - 2 = 3*n, -5*m - 5*n + 77 = 102 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1584 divided by -1.\nAnswer: -1584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - 39.95. Let f = h - -36. Which is the second biggest value? (a) f (b) -3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*h - 24. Let d(k) = -3 + h - 12 + 3*k**2. Let t(v) be the second derivative of -v**4\/12 + 2*v**2 + 2*v. Determine 4*d(l) + 11*t(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/4)\/(9\/(-12)). Let j = -14 - -68\/5. What is the closest to x in j, -1, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + sqrt(300)*-2 + sqrt(300) + sqrt(300))**2.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**4\/2 - 2*q**3\/3 + q**2 + 12*q. Let b be z(1). Solve b*m - 2*m = -4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (108417\/(-44792) + 12\/22)\/(1\/(-8))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + 4*a + 2*a)*(1 + 0 + 1) - 6*a + 4*a + 3*a + (-a - 1 + 1 + (2 - 7 + 3)*(-2*a + 2*a - a))*(4 - 3 + 1) - 5*a + a + 5*a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 93*i**3 + 7*i**2 + 10*i - 5. Let o(l) = -232*l**3 - 18*l**2 - 24*l + 12. Determine -12*j(v) - 5*o(v).\nAnswer: 44*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 7 + 13, 5*q + 2*i - 18 = 0. Suppose -3*m - m = 4*o + 32960008, q*m + 5*o = -16480010. Round m to the nearest 100000.\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-2))\/(-15))\/((-108)\/90)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*x - 9 + 1, n + 3*x = -2. Suppose -a - 81 = 4*i, 2*a + 107 = -n*i + 29. Is -215*(i\/15 + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*o**3*s**3 + 2578*a*o**3*s**2 + 9*a*o**2*s**3 - 89*a*o*s**2 + a*s**3 + 2*o**3*s - 1 wrt o?\nAnswer: 6*a*s**3 + 15468*a*s**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 8*a - a - 5*a - 2*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = k + 79. Let x = 172 + k. What are the prime factors of x?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.6479842*2.\nAnswer: 13.2959684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*((0 + sqrt(1573) + 3 - (sqrt(1573) - 3*sqrt(1573)*-2)) + -5)**2*-5)*-6.\nAnswer: -8494806 - 39600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3565, -14267, -32105, -57079, -89189, -128435?\n\"Answer: -3568*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(6\/5)*j))**35\/(j**3*j)**(-2\/5))**(26\/7) assuming j is positive.\nAnswer: j**(-9802\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5642 and 260.\nAnswer: 56420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/60 + w**4\/24 - w**3 - w**2. Let c be q(0). Is 249\/2*(-4)\/c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -902590, -902591, -902592?\n\"Answer: -k - 902589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6 + 1.4. Let q be ((-13)\/(-2))\/(-1) - (-36 + 37). Let u = q - -8. Which is the closest to 2? (a) u (b) s (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/((-1)\/10). Suppose 3*s = -0*s + 3*f + 9, 3*f - 11 = -s. Suppose -4 = -s*n + 21. What is the greatest common divisor of l and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 857973293\/666191130 - -2\/10093805. Suppose 15 = -2*t - 3*t. Calculate the common denominator of k and (-349)\/(-30) + (-2)\/t.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (1 - -8) + -5.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 617 divide 43569461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20205 - -20205. Which is the smallest value? (a) q (b) 21 (c) 1 (d) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3935898?\nAnswer: 2, 3, 23, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -9332 to the nearest 100.\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*t + 5*d, -5*t = -6*t - 2*d - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -23*f. Let j(z) = -272*z. What is j(l(s))?\nAnswer: 6256*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -397*k**2 - 413*k**2 + 8*k + 810*k**2 + 202 + 3125*k**5 wrt k.\nAnswer: 62500*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 13 + 11. Solve -20 = -3*c - c, k*p - 36 = -4*c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 5933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4\/6 - 2398*w**3\/3 + 807037*w**2 + 1129440298*w\/3 - 2263718023\/6 = 0.\nAnswer: -343, 1, 2569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by (-18876)\/(-308) - (-4)\/(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3612 is divided by 1153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 96\/37, 6\/7, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/7))**(1\/45)\/((m*m\/((m**(-4\/9)\/m)\/m))\/m*(m\/((m\/(m**(-20)\/m))\/m*m*m))\/m) assuming m is positive.\nAnswer: m**(6163\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, 4, 2, 163194, 1.\nAnswer: -7, -1, 1, 2, 4, 163194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1644 - 32*c**2 + 3949 - 2305 + 34*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -334, -527, -808, -1183, -1658, -2239?\nAnswer: -2932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, d: 1, c: 2, x: 10, u: 2, y: 2}. Give prob of sequence cd.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -59, 1, 19, 1611 in descending order.\nAnswer: 1611, 19, 3, 1, -1, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 29 = 2*q, -3*y + 4 = 3*q - 17. Let w(k) be the second derivative of k**4\/12 + 2*k**3 - 9*k**2\/2 + 21*k. Is w(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + w**2 - 2*w**2. Let h(i) = i. What is h(m(x))?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 122155, 122164, 122173, 122182, 122191, 122200?\n\"Answer: 9*g + 122146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -212405\/84 - -17778\/7. What is the common denominator of -47\/30 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-1) - (-3 - (-11 + 4)). What is the greatest common divisor of 143 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + m + 8. Let n(c) = c**2 - 2*c - 3. Let w be n(3). Let z(l) = -12*l - 44. What is the least common multiple of z(-5) and x(w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-4)*s))\/s*s*(s\/(s\/s**(-10)))\/s*s*s\/s**(-11)*s**(2\/17)*s assuming s is positive.\nAnswer: s**(121\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.3, -3951, 2\/11, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 4. Let m be z(-2). Let w be 3620001\/m - (-4)\/8. What is w rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2104035 (base 6) in base 5?\nAnswer: 11230400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 - y**2 + 3*y + 4. Let a(w) = w**3 + w**2 - 2*w - 3. Let s(j) = -3*a(j) - 2*n(j). Let b be 10\/30 - 172\/(-6). Let p = 28 - b. What is s(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 46*t - 329 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4459 = 4*j - 5*y - 15698, -5008 = -j - 5*y. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*m = 44*m - 2772 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(24\/(-40)))\/(2\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6234467669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 18285313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10230 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 501441928*z**3 - 15574698*z + 2 wrt z?\nAnswer: 3008651568*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*y + 2*h, 3*h - 4 = y - 5. Is y less than or equal to -14\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/186)\/((-2)\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(2\/22)\/(-1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 - 63.8. What is the nearest to -0.1 in 3, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3970?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(2) - (1 + sqrt(2))) + 2)**2 + -4.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + -110?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2481852 and -157\/552?\nAnswer: 114165192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (360\/(-14))\/(1\/(-28)). Suppose -25*i + 67*i = -26*i + 340. Suppose -9*d + o = -i*d. Calculate the greatest common factor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-3))\/(18\/27). Let k be -5*(-11 + -2)*b. Let s = k + 125. Calculate the greatest common divisor of s and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.10574\nAnswer: 0.021148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -144508083*p**4 + 22*p**2 + 18130233*p?\nAnswer: -3468193992*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -3. Let v(f) = -20*f + 38. Let i be v(2). Let k = i + l. Solve 13 = -2*p + 5*d, k = 2*p + 5*d + 3 - 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)\/sqrt(144) - sqrt(19)) + sqrt(19) + sqrt(19) + -5 + sqrt(19) + 0 - 6*sqrt(171)*2*4)**2.\nAnswer: 2835*sqrt(19)\/2 + 6108691\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*v + 330*v + 74*v - 7536 = 0 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-4) - 0\/25. Suppose -x - 3*c + 3\/2*c**2 = 0. Calculate c.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 11*h - 8*h. Suppose h*t + 634 = 5*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/9*m - 44\/3 + 2\/9*m**2.\nAnswer: 2*(m - 11)*(m + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**6\/120 - 11*j**5\/60 + j**4\/2 + 33*j**2. Let z be x(-12). Solve c = s + 2, 5*s + c + 0*c + 16 = z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*g, 3*k = -858*g + 857*g - 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12307 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 4*z - 2*x + 55756 = 0, -4*z - 4*x = -44600. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1479341494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(704))*3 + sqrt(704) - sqrt(704) - -2*((2*sqrt(704))**2 - sqrt(704)).\nAnswer: 8*sqrt(11) + 5626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -206, 3, -461 in descending order.\nAnswer: 5, 3, -206, -461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k. Let v = 504 - 502. Put -5, k, v in ascending order.\nAnswer: -5, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.92 + 0.08. Suppose 0 = -5*v - 2 - 3. Let w(s) = -s**3 - 2*s**2 + 6*s + 7. Let f be w(-3). Which is the closest to 0? (a) v (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 5*a + 4*y + 6, 3*a + 24 = 2*y. Let t = a - -2. Let r = t - -8. Solve -34 = 5*l - 2*w - 15, r*w - 8 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 1:23 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480*s = 478*s + 3*v + 4, 5*s = -3*v - 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from raaaootpwaaop. What is prob of sequence wrt?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.073 (b) -66 (c) 0.1 (d) 749\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z. Let a(p) = -6*p + 3*p + 0*p + p. What is a(i(n))?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21.64 + 1349627\nAnswer: 1349605.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1326 - -12\nAnswer: -1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 1271*h - 1. Let r(q) = -2552*q + 2. What is 9*o(m) + 4*r(m)?\nAnswer: 1231*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 y, and 1 m when three letters picked without replacement from {y: 1, v: 2, m: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/((-2)\/(-20)). Let s = z - -1. Let l = 25 + s. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -2\/27, 3\/2, -4, 4 in ascending order.\nAnswer: -4, -2\/27, 1\/6, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 146616557 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 4\/7 (c) 5 (d) -63\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/35*((-30)\/9 + 1). Let c be (-24)\/14 + 2\/(-7). Is g >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1722*o - 58476. Determine w(-34).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1983 - 1981. Solve -5*g = -c*f - 14, 5*g = 8 + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30062170611\/1911992 + 23\/716997. Let t = 15718 + d. Find the common denominator of t and -57\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 10*w**2 - 9*w + 74. What is the thousands digit of i(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 4*m)*(0 - m - 11 + 6) in the form j*m + o*m**2 + a and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1443298031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 219 - 215. Suppose -2*l = 2*x - l - 2, -4*x = l - a. Which is bigger: x or 2\/133?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1368 divided by 12\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1123 and 29601157.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-33)\/(-2))*27\/33.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6863.9 - -6864. Let x = 128.7 + -137. Let w = x - -8. Which is the closest to 0.3? (a) w (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 8*u = 11*u + 17, -3*u - 32 = -4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 109*w - 12. Let y(z) = 86*z - 11. Let q(b) = -4*i(b) + 5*y(b). Calculate q(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v + 2*w - 9 = 0, 3*v = 2*w + 3. Suppose 4*p + v*p - 623 = 0. Let o = -61 + p. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 1. Let v(r) = -2*r**2 - 3*r + 3. Let k(d) = 3*q(d) + v(d). Let t(h) = 2*h + 4. Let n(m) = 3*m + 5. Let y(w) = 4*n(w) - 5*t(w). Determine k(y(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) 0.1 (c) -1 (d) 10 (e) -1238 (f) 4 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -481 - 22507*m - m**2 + 43890*m - 22057*m wrt m.\nAnswer: -2*m - 674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w - 4*d = -42, 5*d = 3*w + 45. What are the prime factors of 9\/(-5)*w\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/102 and 41\/306.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/((-42)\/462*-22)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -232 - -236. Suppose 5*z + n*k - 496 = 0, 11*z = 13*z + 4*k - 196. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289*p**2\/5 + 150385842*p\/5 - 19563928610769\/5 = 0. What is p?\nAnswer: 4423113\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-4) + 51 + 1 + -2. Let g = x - 49. Solve 0 = b + g, 2*c - b = -0*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/195)\/(2\/20)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -122899 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 88500 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3519320 divided by 1759660.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -6\/11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + 7*y**4 - 11*y**4 - y**3 + (-3*y**2 + 2*y**2 + 0*y**2)*(-5*y**2 + 4*y**2 + 5*y**2).\nAnswer: -8*y**4 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 5*s + 13. What is m(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 129a6 + 1?\nAnswer: 129a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**3 - 2*q**2 + 4*q + 1. What is the tens digit of x(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2766356617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1069*s**3 + 2144*s**3 - 1077*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 2*t + 0*t)*(83 - 105 + 55) - 44*t + 47*t + 98*t to the form k*t + a and give k.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -38*g - 23. Is h(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 4:37 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -7.4. Put 5, b, -5, -3 in decreasing order.\nAnswer: 5, b, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((0\/(24\/(-6)))\/1)\/2. Put 33, y, 5 in decreasing order.\nAnswer: 33, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18267.95 and -1410.299.\nAnswer: 16857.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2223921 is divided by 444771?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 95, 144?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02952, 0.5, -6, -1?\nAnswer: 0.02952","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*z**2 - 9*z**2 - 6*z**2 + 7860*z**3 + 42*z**2.\nAnswer: 7860*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1406 is divided by 452.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 230 + -88. List the prime factors of w.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3075?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 431 and 327129.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2389540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + -1 + -4 + 0 + 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291 = -334*k - 3532 - 3773 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (6 + -8)) + -5 + 2 + -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2*c - c)*((-3 - 2 + 4)*(-2*c + 2 - 2) + 3*c + 0*c - c - 2 + c + 2 - 8 - 1 + 6 - 2*c + 0*c + c + 0*c + (6 - 2 - 2)*(3*c - 5*c + 3*c)).\nAnswer: 18*c**2 - 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-12\/11))\/(a**(10\/7)\/a*a)*a\/((a**8\/a)\/a)*a**(2\/47)*a assuming a is positive.\nAnswer: a**(-19821\/3619)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0307735 to 3 dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 99*n**2 - 50*n - 2163. Is d(47) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/605 and -59\/374910.\nAnswer: 45364110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/90)\/((-3)\/(-15))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 223 = -5*l, 0 = 13*l - 12*l + 2*n - 49. Calculate the remainder when 178 is divided by l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s + s**2 + 2 + 6 - 3 + 4. Let h = -9 - -3. What is the units digit of u(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/298 greater than or equal to -5.29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + (4 + -5 + (sqrt(180) + sqrt(180) + -1 - sqrt(180)) - (-3 + (sqrt(180) - (sqrt(180) + -1)) + 1 + sqrt(180))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + i - 5*i)*(2 - 1 - 3) - 3*i + i + i + 7*i - 14*i + 15*i - 4*i + 6*i + 0*i + 4*i + 0*i - 6*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, d: 3, g: 2, v: 1}. Give prob of picking 1 z and 3 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -290.9 - -291. Let n = -3 + 3.5. What is the closest to l in n, 2\/5, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13044225847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003751 rounded to four decimal places?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -96378*n*p - 13717*n - 1 wrt p.\nAnswer: -96378*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000200653 rounded to seven decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4597 or 4596?\nAnswer: 4596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o + 6*o**2 + 0*o**2 - 3*o**2. Suppose -5*s - 5*u = -45, 6*u + 27 - 60 = s. Let x be j(s). Solve 2*w = x*w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97 - -102. Which is the closest to 0.05? (a) y (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1428, 1443, 1458, 1473, 1488?\n\"Answer: 15*u + 1413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10475, 20925, 31375?\n\"Answer: 10450*x + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 6:42 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffddfdfffdf. What is prob of picking 1 d and 2 f?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 + m + 20. Let q be r(6). Let u = 174 - q. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/4 - 14\/(-8). Let r(z) = -z**3 - 3*z**2 - 2*z. Let i be r(-2). Let d be (i + 2 + h)\/1. What is the highest common factor of 20 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v - 52. Let g be c(-10). Let h be -2 + (-197)\/(-15) + g\/90. Suppose -h*r + 0*r = 0. Sort 2\/19, -13, r in decreasing order.\nAnswer: 2\/19, r, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 3:14 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 = 0, -i + 6*i + 239 = -3*z. Let n = i + 344\/7. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4485276 to the nearest integer?\nAnswer: 2118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11668*v**4 - v**3 + 14*v**2 + 4697037*v wrt v.\nAnswer: -140016*v**2 - 6*v + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 337, 1507, 3455, 6181, 9685, 13967, 19027?\nAnswer: 24865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*0\/(-5 + (-24)\/(-6)) - -56135.\nAnswer: 5, 103, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-12)\/9 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885202 is divided by 172.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(7) + (2 + sqrt(7))*-6)**2*6 - (sqrt(70)\/sqrt(10) + 4 - (sqrt(7) + (-3*sqrt(63))\/sqrt(9))).\nAnswer: 2877*sqrt(7) + 7652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3524534?\nAnswer: 2, 13, 135559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/7 in -9, 4, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 5:40 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k**3 - 31*k**2 + 27*k - 9. List the prime factors of v(11).\nAnswer: 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 85 = 5*j + 15, -j + 6 = 5*y. Find the second derivative of 16*d**3 - j*d**3 + 16*d + 24*d**5 wrt d.\nAnswer: 480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(80) - (sqrt(80) + -2*sqrt(80)))**2.\nAnswer: 1920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkcckkkkkkkkk. Give prob of picking 3 k.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**5\/15 + 23*h**4\/6 - 28*h**3 - 119*h**2. Let n(q) = 0. Calculate q.\nAnswer: 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 10*i - 7. Let s be q(5). Let f = -28 + s. Factor -f*l**3 + 11*l**4 + 9*l**4 - 6*l**2 + l**4.\nAnswer: 3*l**2*(l - 1)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 - 487a1?\nAnswer: -48786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -921261*b**3 + 280309*b + 2?\nAnswer: -5527566*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 0.2, 8, 0.9, -6 in decreasing order.\nAnswer: 8, 0.9, 0.2, 0.07, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/8 and -33\/304?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.7 + -1.3. Let p = 0.0635 + 317.9365. Let u = p - 316. Is u at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -f - 5*v + 15, 8 = -5*f + v. Let r be -2 + f + 3 - 0. Let i = -4.04 - -0.04. Which is the second biggest value? (a) r (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4\/9 + 5648*n**3\/9 + 1993744*n**2\/3 + 2815166528*n\/9 + 496876892192\/9 = 0. Calculate n.\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -114\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 7 = -5*c - 1, 3*c + 15 = 4*u. Put -2, c, 6 in descending order.\nAnswer: 6, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2 + 3*m - 9. Let u(b) = -3*b**2 + 2*b - 8. Calculate -5*s(k) + 6*u(k).\nAnswer: 2*k**2 - 3*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1375 and 30856375?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.6 (b) 0 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9294305055 - 9294305055 - 71*f**2.\nAnswer: -71*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -339?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 + (8\/4 - 4). Calculate the greatest common divisor of x and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, 16, -5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3157 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2. Let j(z) = 4690218*z. Let l(w) = -2268*w. Let q(d) = 5*j(d) + 10341*l(d). Determine s(q(b)).\nAnswer: -15842412*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o + 6. What is the common denominator of (-126)\/44 - (o - -2) and -101\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(17))*-3)**2 - (2*sqrt(17) + 3).\nAnswer: -2*sqrt(17) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 8151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7))**(-3\/20)\/(((i\/i**(-3\/4))\/i)\/(i\/(i**(-4\/7)*i))) assuming i is positive.\nAnswer: i**(-31\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/20*8\/(10\/5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 133\/(-63)) + 589\/(-2790)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*s**2 + s + 293.\nAnswer: -56*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13755 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47973 is divided by 166.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77803*v**2 - 403*v - 5.\nAnswer: 155606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*o + 4. Suppose -o*g + 139 = -1. Suppose p - 21 = -4*y, -3*p + 2*y - 7*y = -g. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111010001 (base 2) in base 13?\nAnswer: 5a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from bmlvvvvvv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 423\/38775*451\/(-41)\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 0)*(-13)\/(-26). Let s(b) = 0 - 1 + 465*b - 64*b. Let p be s(m). What is p rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587818314 a multiple of 562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3. Let z(b) = 12*b + 2. Let n be z(1). Suppose -2*f + 60 + n = j. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + h = 0, 5*y + 54*h - 57*h = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -10*t - 25. Give r(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 709*l**3 + 5*l**5 - 3*l**5 - 899*l**3 + (4*l - 2*l**2 - 4*l)*(0*l**2 + 3*l**3 + 0*l**2).\nAnswer: -4*l**5 - 190*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/3 - (-1)\/((-1)\/(-66)). Let k = 65 - m. Suppose k + 1\/4*c**2 + 3\/4*c = 0. What is c?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 1. Let i(m) = 5*m + 7. Let x(k) = i(k) - 4*o(k). Is x(0) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1 - -1) + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 32. Let s(k) = 26*k + 182. What is -6*i(p) + s(p)?\nAnswer: 26*p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2384215?\nAnswer: 5, 19, 25097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(5)*2*1 - (((sqrt(20) + sqrt(180))\/sqrt(4) - sqrt(5)) + -2))**2.\nAnswer: -60*sqrt(5) + 1129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uoou when four letters picked without replacement from {o: 2, u: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 7. Let q be p(-7). Suppose 2*m - m = l - 13, -3*m - 12 = q. What is the greatest common factor of l and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 886126575 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 4:07 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 500. Give u(9).\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3)*((-489)\/(-815))\/((-2)\/(-10)). What is the nearest to 2 in -2\/5, -8352, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, w: 3, x: 4, b: 1}. Give prob of sequence xxwb.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731872?\nAnswer: 2, 22871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + 145\/58.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5236 is divided by 2614.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 279.3 (b) 3 (c) -5 (d) 4\/9 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + 3*t - 2. Let j be f(2). Suppose -j = -g + 5*l, 0*l + l = -g + 42. Let n = 49 + -39. What is the remainder when g is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5847855 by -3.\nAnswer: -1949285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/(-4))\/((-1)\/(-4)). Let j = 905 + -900. What is the third derivative of -15*d**2 + 4*d**2 - y*d**j + 9*d**2 wrt d?\nAnswer: -840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.235 - 0.225. Let s = m - 1. Let q = s + -0.11. Which is the closest to 1\/5? (a) -2 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.5056 + -317.6.\nAnswer: -305.0944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/10 and 81\/1520902?\nAnswer: 7604510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = -2*i. Let f(c) = -c + 1. Let y(b) = 2*b - 1. Let w(n) = 5*f(n) + 3*y(n). Calculate w(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 36*z + 266 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.05 (b) -2 (c) 0.27 (d) -191.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/(8\/(-32)). Suppose 0 = -p - p + c. Suppose -s - p*i + i = -7, 3*i = s + 13. Which is greater: s or -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1\/9)*j)\/j**0)\/(j**(-28)*j)**15)**(2\/25) assuming j is positive.\nAnswer: j**(7306\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 794 - 830. Sort -0.5, 0.3, j in decreasing order.\nAnswer: 0.3, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -35 (b) 6 (c) 32 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 7:05 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2864, 11239, 25190, 44717, 69820, 100499?\n\"Answer: 2788*v**2 + 11*v + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*a = -7140 - 1968. Calculate the least common multiple of a and 16.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.105, 3, -20\/3, 6, -81.\nAnswer: -81, -20\/3, -0.105, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 30. Suppose 0 = 3*u + r + 5, 5*r = 5*u - 10*u - 25. Suppose u = -3*l, -5*f + 16 = -f - l. Solve f*j - 4*g = 8 + 4, 3*g + s = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6508521 decades in millennia?\nAnswer: 0.006508521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**2. Let k(o) be the second derivative of o**7\/1260 + o**4\/4 + 3*o. Let i(x) be the third derivative of k(x). What is i(f(v))?\nAnswer: 50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, x: 2, m: 2, t: 2}. What is prob of picking 1 x and 1 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + (-42)\/7)*1. Let m be 2\/w*(22\/4 + 2). Let q = 11 + -10.6. Sort 19, q, m in increasing order.\nAnswer: m, q, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3*514\/48 - (-2)\/(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*o + 9 = 0, 0 = 2*l - o - 7 - 4. Let u be ((-6)\/20)\/l*4. Let r be (-4)\/(-10)*(-4 - 1). Which is the third smallest value? (a) -4 (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*(36\/(-98))\/3*1*588\/(-84)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13572311 to the power of 1\/2, to the nearest integer?\nAnswer: 3684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119 - -160. Suppose 35*i - n*i + 14718 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9, -31, -69, -129, -217, -339?\n\"Answer: -w**3 - 2*w**2 - 9*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 34 = -7*s - 2*s. Solve -v = 5*r - 11 + 20, 20 = -s*v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3*(sqrt(275) + 1 + 5 - sqrt(275))*-4)**2)*5.\nAnswer: 25910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -793 - -1756. Suppose 27*l + t = 30*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4360 and 856580860.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014659 rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 11*p**4\/8 - 74*p**3\/3 + 120*p**2. Calculate the remainder when 81 is divided by y(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -537 - -660. Suppose 53 = 2*k + d. Let x(n) = -4*n**3 + 6*n**2. Let o(h) = 25*h**3 - 35*h**2. Calculate k*x(s) - 6*o(s).\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gccppgpgmggmggggmgpc. What is prob of picking 1 m and 2 c?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in 4\/9, 0.4, -0.04, 0?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n = -2*r + 8, 0 = 3*n - 5*r + 12. Solve -3*s - 3*j = -n + 7, s + 5*j - 6 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -595*r**3 - r**2 - r. Let i be m(-1). Suppose 143*o - 148*o = -i. What are the prime factors of o?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 6 = 4*z + 5*w, -4*z = -2*w - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8145*z - 5094003 + 5094003)*(0*z**4 - 4*z**4 + 2*z**4).\nAnswer: 16290*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*f**2 - 22*f**2 + 2*f**3 + (3*f**2 - f**2 - f**2)*(-2*f + f + 0*f) + 10*f**2 - 10*f**2 + 5*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4371375 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**4\/6 + 1725*g**3 - 8968179*g**2\/2 + 106874100*g - 639757656 = 0?\nAnswer: 12, 5163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0.3. Let r = -3 - -3.1. Let n = r + f. What is the third smallest value in -0.1, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-2\/5)\/r*r))**36\/(r**1\/((r*r\/r**10)\/r)) assuming r is positive.\nAnswer: r**(202\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 14*d**3 + 18*d**2 - 24*d - 5. Let x(h) = -14*h**3 - 18*h**2 + 24*h + 6. Let q(f) = 2*u(f) + 3*x(f). Factor q(o).\nAnswer: -2*(o - 1)*(o + 2)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k - 11*k + 14*k. Let u(i) = -5*i**2. Give c(u(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 4*z**2\/9 - 136*z\/3 + 1156 = 0?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -402 + 205. Let q = n + 354. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1057 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/4286 and -101\/40176964?\nAnswer: 40176964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 22. Let k be r(-6). Let u = 12 + k. Factor -7*p + 4 - 2*p**u + 4*p + p.\nAnswer: -2*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, 0, 1, 7, 11443 in descending order.\nAnswer: 11443, 7, 4, 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1806, -5, -3, 95, -4 in decreasing order.\nAnswer: 95, 5, -3, -4, -5, -1806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u - 2*u + 0*u)*(-1 + 2 + 2)*(-10 + 1 + 3)*(1 - 1 - 2) to the form n + g*u and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 11. Let n(q) = 59*q + 479. Let r be n(-8). Let y(d) = 2*d + 16. Calculate r*g(h) + 5*y(h).\nAnswer: 3*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r - 6. Suppose z = -0*z + r. Solve 3*x = 4*t - x - 12, 0 = -z*t + 3*x + 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -19*y**2 + 7*y + 95. Calculate r(-6).\nAnswer: -631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h**2 + 274*h + 214. Let m be r(35). Solve -o + m*n = o, 3*n + 2 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -4*m**2 + 7*m + 8. Differentiate x(n) wrt n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5460 = -154*f - 106*f for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57\/22 + -23\/11. Which is the nearest to 1? (a) 3 (b) -0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2 - 5*o - 4. Suppose -48*d = -44*d - 5*q - 16, -5*q - 20 = 0. Give c(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2927340 divided by -5?\nAnswer: 585468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 5:45 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 24.03 (b) -5 (c) -3 (d) -3\/4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/2)\/g*g)\/(g**(2\/37)\/g*g))**(4\/5) assuming g is positive.\nAnswer: g**(-46\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -8*k**2 - 15*k - 18. What is u(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 4*y**2 - 2. Suppose -18 = 3*r - 2*l, 4*l = -r + 3 + 5. Let i be (-6)\/(-9)*60\/r. Let t = i - -14. Determine c(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2.6, -2\/13, -2\/773, 7, -23, 2\/9?\nAnswer: -2\/773","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1559124856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 12 + 2)*(30*h - 66*h + 102*h) to the form t + o*h and give o.\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -302*m**2\/9 + 3824*m\/3 + 152\/9.\nAnswer: -2*(m - 38)*(151*m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4047192031\/23870 + 742422\/1705. Let d = t - 169991. Let h = 13\/35 + d. What is the common denominator of -125\/18 and h?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 1 + 5 = 0. Let w = -179 - -178.14. Let l = 0.66 + w. Which is the closest to 1\/2? (a) l (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6759, -13453, -20147?\nAnswer: -26841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c354 (base 13) in base 6?\nAnswer: -1445102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -6006a5?\nAnswer: 6006a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60283020 and 204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1039647*f**2 + 3*f + 18520281 wrt f.\nAnswer: -2079294*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**5\/9 - 820*p**4\/9 + 30866*p**3\/9 + 4096576*p**2\/3 = 0.\nAnswer: -96, 0, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -654 divided by -327?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-808)\/24)\/((-2)\/6). Let l = r - 57. Calculate the least common multiple of l and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2183*o + 14625 + 42133 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*a - 96*a - 1773 = 0 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**3 - 2*p**3 + p**3)*(6*p - 3*p - 7*p).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-62)*(3 - 4)\/(26\/8).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 11*o**2 - 13*o + 14. Let w be j(12). Determine q, given that 3*q**4 + 0*q**5 - 3*q**3 - q**5 - 4*q**w + 5*q**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 19 - 4. Let z(b) = -b**3 + 4*b**2 - 2. Let h be z(3). Let o(x) = -4*x - 4 + h*x - x + 2. Give o(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -1013225234?\nAnswer: 1013225242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*j + 146 = 0, 0*j = 2*i + 3*j - 53. Let f = i + -14. Solve 0 - f = 4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-28))\/(1\/14*-22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -2 (c) 8 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 238854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -222 - 20*g**3 - 642 - 52*g**3 - 495 - 20*g**3 wrt g?\nAnswer: -276*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/24*33*2. Suppose -4*z + 5*w + n = 0, 0 = 4*z - 3*w - 84 + 9. What is the remainder when 106 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -236 + 423. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 50 = -68. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (31 - 38) - (1 + 3 + 13)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (7*-2 - 0). Let t = d - 10. Suppose -g = 4*f + t*g, 3*g + 9 = 0. Sort 4, f, -1 in decreasing order.\nAnswer: 4, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:43 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3138234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 - 9*b - 20. What is the hundreds digit of t(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.164? (a) 0 (b) 7 (c) 0.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orooroyqqnonoonoy. What is prob of picking 2 n?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/36)\/(6\/16). Suppose 177 = 7*j + 107. Let s = -1381.3 - -1381. Which is the nearest to 2\/9? (a) z (b) s (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6401 or 6407?\nAnswer: 6401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j + 8. Let w be u(-3). Let h = w + 14. Let m(a) = -a**3 - 8*a**2 + 6*a - 23. Let g be m(-9). What is the highest common factor of h and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 + 11*h + 5. Let m(w) = -w - 1. Let l(i) = -2*i**2 + 5*i + 1. Let n(g) = l(g) - 2*m(g). Let a(d) = -8*n(d) + 5*o(d). Calculate a(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74 and 22?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*((-2)\/5)\/(18*2\/45).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-7\/3)\/l**(-6\/5))\/(l**5*l**(-7)*l))**9 assuming l is positive.\nAnswer: l**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54446 and 1063.\nAnswer: 57876098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-4))\/(11\/(-33)))\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1*4)\/((-3)\/((-9)\/(-2)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2398 + 1403. Let o = 528 + x. Let l = -264 - o. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 3. Let y be a(4). Let o be 2 - y - (1 - 2\/5). Let w(s) = s**2 + 5*s + 5. Let d be w(-5). What is the third smallest value in 0, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25.5 + 25.2. Which is the third smallest value? (a) y (b) -8 (c) -1\/8 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67798832 divided by -16949708.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42611 divided by 1650?\nAnswer: 42611\/1650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*l**2 + 7045*l - 14084*l + 7039*l.\nAnswer: 26*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*u + 6090490 = 238*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 5*c**2 + 4*c + 4. Let d be r(4). Let p(w) = 8*w**2 - 4*w - 4. Calculate the remainder when p(d) is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + i + 10 = 1, 4*i = 12. Suppose -j*d = -0*h - 5*h + 330, -5*d + 198 = 3*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 1. Let s be g(0). Suppose 4*p + 9 = 41. Let n = p - s. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2432062*u + 5*c = 2432060*u + 23, -4*c = u - 19 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, y: 1, f: 1, i: 1, x: 1}. What is prob of picking 1 i and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -765*j - 2640 = -13757 - 9620 - 2213 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 - 0.5. Let j(a) = 46*a - 277. Let d be j(6). What is the second smallest value in -3, d, l, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 362*d + 46896. Determine r(-117).\nAnswer: 4542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43 - -14440?\nAnswer: 14364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-2) - (-12)\/(-3). Let i be q + 20\/(-8) + -2. What is the nearest to -1\/2 in i, 3, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159032?\nAnswer: 2, 103, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 8*t = 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*t - 4*b, -3*b + 0*b = 0. What is the highest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/3 (b) 31 (c) -30 (d) 11 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023 less than -91866.947?\nAnswer: -91866.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/4 or 6358?\nAnswer: 6358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3*n - 28 = -17, -2*n = -2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2131151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(7)*2 + -5)**2.\nAnswer: -20*sqrt(7) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2972 - -6106. Calculate the remainder when v is divided by 59.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 - -1659\/17. Which is smaller: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i**3 - 4*i**3 - 31*i**3.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - -101122000202?\nAnswer: 101122000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -8*t + 1. Let i be s(-1). Let g = 0 + i. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, o: 3, y: 3, q: 1, e: 10}. What is prob of picking 2 e, 1 y, and 1 b?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, i: 9}. What is prob of picking 1 i and 1 w?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 4*i**2 + 2*i - 3. Let g be b(4). Suppose 4 = g*p - 11. Suppose l = p*l - 36. What is the remainder when 52 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**6\/780 - a**5\/65 + a**4\/13 - 8*a**3\/39 - 7*a**2 + 1. Factor f(t).\nAnswer: 2*(t - 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f - 14 - 5*f + 23 - 12 to q*f + s and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*u - 3. Let o be (-1)\/u + (-115)\/(-10). Let b be 1\/(((-14)\/(-4))\/7). Solve w + 4 = 4*q + 16, b*w = -q - o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 15. Suppose -2*n + u = -5. Suppose -11*g = -n*g + 55. Which is bigger: -10 or g?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 27 = -0. Let h(c) = 2*c**3 + 3*c**2. Let z be h(-2). Let g be (-300)\/t*2760\/z. Round g to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/14 and 95\/330748696.\nAnswer: 2315240872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -24*r**3 - r**2 + 1. Let i be k(2). Let m be i\/185 + 1\/1. Suppose 0 = -p - 4*p. Which is smaller: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 38 - 17 - 12*u - 13.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*b + 6101 = 7682 + 10195. Calculate the greatest common factor of b and 11132.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (9 - (4 + -5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49647101 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10 + o + 0*o - 2*o + 6*o. Let i(a) = -5*a + 9. Let x(c) = -4*i(c) - 3*j(c). Let n(k) = -k + 1. Determine -34*n(l) - 6*x(l).\nAnswer: 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**4\/8 - 33*c**3\/4 - 1617*c**2\/8 - 1899*c\/2 - 2565\/2 = 0.\nAnswer: -10, -3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 + 4*c - 7. Let s be (-4)\/(-12) + (-10)\/(-6). Let x(n) = -1 + 8 - 2 - s*n**2 - 3*n. Let b(j) = 5*v(j) + 7*x(j). Solve b(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.07429 meters in micrometers?\nAnswer: 54074290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 9:08 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 438464 and 12896?\nAnswer: 438464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.02 + 1. What is the second smallest value in a, -5, 23\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34\/4543 = 934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 = 2218*b - 2223*b for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.506171088 less than 2?\nAnswer: 1.493828912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 16\/15 of a decade?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -189*l**4 + 4062*l**3 + 2100*l**2 + 264*l = 0?\nAnswer: -2\/7, -2\/9, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396824 a multiple of 968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51612 rounded to two decimal places?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/287174778 and 139\/93588?\nAnswer: 574349556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 0, 12189 in ascending order.\nAnswer: -5, -2, 0, 12189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(50) + 4*sqrt(100)\/sqrt(2) + sqrt(50) + (sqrt(450) + (sqrt(450) - 1*sqrt(450)) - sqrt(50)))\/((3*sqrt(360) - sqrt(360))*5))**2.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 8 + (0 - 3) + 1. Let z(b) = -4*b + 8. Let g be z(-8). What is the highest common factor of g and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 20*p**2 - 104*p - 51. What is the remainder when h(-24) is divided by (-1 - 0)*(-33 - 3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 11:24 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*u + 0*u = 16, -2*u + 34 = -4*a. Suppose o - 2*d = -54, d + 13 = -4*o - 158. Let m = a - o. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*w = 74, 24 = -m + 3*w + 78. Let t(p) = p**2 + 36*p + 103. Let r be t(-46). Let j = r + -557. What is the greatest common factor of j and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 76. Suppose 5 = g - 3*g - 5*q, -4*g - 3*q + y = 0. Solve 3*p - 5*p + r = -5, -3*p - g*r + 40 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d + d)*(2*d**2 - 4*d + 4*d)*(-3 + 1 + 4) - 56*d**2 + 56*d**2 + 9*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1578*k + 3442 + 7604 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 94206, 376811, 847818, 1507227, 2355038, 3391251, 4615866?\n\"Answer: 94201*b**2 + 2*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**5\/120 - v**3\/12 + v**2 + 1. Let z(d) be the second derivative of l(d). Solve z(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/2156 and 17\/110?\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -40981420 divided by 3?\nAnswer: -40981420\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - d**2 - 4*d + 1. Let a(r) = 78*r**3 - 2*r**2 - 7*r - 180. Let t(v) = -a(v) + 2*k(v). What is the derivative of t(f) wrt f?\nAnswer: -228*f**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a kilogram in grams?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 245708 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dspkefs. What is prob of sequence sfs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -12. Suppose -5*j = -3*c - 38, -j + o*c + 8 + 3 = 0. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -5*s**4\/24 + s**3\/2 + 2*s**2. Let t(w) = 6*w - 4. Let u(i) = 4*k(i) + 3*t(i). Let v(d) = 2*d**2. What is v(u(j))?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32485, -62778, -93071?\n\"Answer: -30293*b - 2192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77.15 - 77.25. Let t = -4 - -12. Which is the smallest value? (a) z (b) t (c) -1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 87\/7 - (-39)\/(-91). Suppose 0 = 8*y - 36 - a. Calculate the remainder when 21 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -613, -1755, -3601, -6151, -9405, -13363, -18025?\nAnswer: -23391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1391+44\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*k - 129 = -0*k, 183 = 5*v + 3*k. What is the highest common divisor of 273 and v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**7\/210 - 6*r**5 + 53*r**4\/6 + r**3\/6 + 315*r**2 + 4. Find the second derivative of w(v) wrt v.\nAnswer: 12*v**2 - 720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**2 - 2*m - 1. Is 16 a factor of u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 - 4*p**3 + 2*p**2 - p**4 - 4 - 7 + 1 as r*p**3 + a*p + h + b*p**2 + d*p**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3906 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-5)\/(-10)*1351 + -2. Let j = -722 - a. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2295679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 176*y = -604372 + 3488455. What are the prime factors of y?\nAnswer: 3, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25\/14, -14, 0.04, -1\/5 in increasing order.\nAnswer: -14, -1\/5, 0.04, 25\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1)\/(j\/(j\/(j\/(j*j*j**(1\/5))*j)))*j**(-1\/3)*j*j*j**(-1\/8)*j*j*(j**(-1\/2)\/(j\/((j*j**8)\/j)))**30 assuming j is positive.\nAnswer: j**(23729\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10520 a factor of 4078267360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1262 to 4 decimal places.\nAnswer: 0.1262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/15)\/3*5\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 810?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -653*h**3 - 1 - 3 + 4 + 651*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (427 + 465 - 977)*(9*v**4 + 4*v**4 + 4*v**4) + v + 2*v**4 - v + v**4 + 3*v**2 - 3*v**2 in the form z*v + m*v**4 + j + k*v**3 + s*v**2 and give m.\nAnswer: -1442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**3\/6 - 48*c. Let r(w) be the first derivative of 0*w**2 + 0*w - 2\/3*w**3 + 1. What is s(r(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b + r, b + 2 = 2*r - 0*r. Let n(f) = 7*f - b*f**2 - 7*f. Let i(z) = -1 + 0 - 3*z + 1. What is i(n(j))?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(-2 + 15\/6). Suppose -g = -s + 9. What is the least common multiple of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30569.301 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -17 - -16) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 2*i, -5876296*v + 58 = -5876272*v + 2*i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1807010 is divided by 3625?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -19. Suppose t = -2*s + a, -4*s = -3*t - s + 51. Let w(z) = t - 3*z**2 - 14. Let k(n) = -2*n**2. Give w(k(q)).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**2 - m - 759. Is f(-39) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2981757 is divided by 5071?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 0. Suppose -4*x + t*x = 15, -q - 2*x + 10 = 0. Solve n = 3, 0*r - 2*r - 5*n + 23 = q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84887\/7 + 12127. Let m = 9\/4 - 3. Which is the closest to -1? (a) m (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*(sqrt(36) + sqrt(2916)*-2))\/((((sqrt(1500) - 1*sqrt(1500)) + sqrt(1500) - sqrt(1500)) + sqrt(1500) - sqrt(60))\/sqrt(5)) + 1.\nAnswer: -85*sqrt(3)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34433\/760 + 810\/19. Find the common denominator of -101\/40 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-9)*2*-3. Let b = -3 - g. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/56*8\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(11) + (-5 + sqrt(11))**2*1 + 5 + 0 + 2.\nAnswer: -9*sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8020 <= -8022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m = 850 - 2244. What are the prime factors of m?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 41*q - 4. Let w(v) = -40*v + 3. What is -3*d(g) - 4*w(g)?\nAnswer: 37*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 84 = 3*z. Let t(j) = -16*j**3 - 2*j**2 + 2*j - 1. Let m be t(1). Let k = m - -31. Calculate the highest common divisor of k and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 10*o - 2*o + 3*o - 8*o - 206, p + 137 = 2*o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from {x: 1, k: 3, i: 1, h: 3, j: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 96 = -4*u - 10, 3*l + 5*u + 95 = 0. Let c be (-4)\/l*372\/120. Let d = c + -1\/75. Which is smaller: 1\/13 or d?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 19*y + 686. Suppose 767 = -18*z + 119. Let u be n(z). Determine w so that 15*w**3 + 350\/3*w**u - 160\/3 + 640\/3*w = 0.\nAnswer: -4, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000077744318 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/8*14\/(-21). Which is the closest to -4? (a) 0.08 (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13891, 14015, 14139?\n\"Answer: 124*y + 13767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**2 - 4436*v + 149668 = 0.\nAnswer: 34, 4402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 5:14 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000297268 to 7 decimal places.\nAnswer: -0.0002973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37226.44 rounded to the nearest one hundred?\nAnswer: 37200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -11750.1681 and 2755.\nAnswer: -8995.1681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 254569714 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 3*k + 24. Let l = -343 - -349. Let o be g(l). Solve o - 2 = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186238.\nAnswer: 2, 13, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.382+335.04\nAnswer: 334.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -142? (a) -3.5 (b) -1.3 (c) 4 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 13475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1024 - 371. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21\/430 + 3883\/1935. Let j = 63644650 + -1272555919\/20. Let c = -16859 + j. Calculate the common denominator of w and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5469 + -5450. Calculate the remainder when 640 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2127451?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from hhnpphyh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*w = 279*w + 3*a + 9, -6 + 0 = 2*a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -710 times 6\nAnswer: -4260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3794*c - 7585*c + s + 9 = -3790*c, -5*c = -12*s - 10 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v - 3*v + 5*v - 2*v - 2*v + 5*v + (5 - 2 - 5)*(2*v + 7*v - 2*v) + 5*v - 3*v - 4*v + (2*v - 4*v + 3*v)*(1 - 5 + 2) + 3 - 3 - 2*v.\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 957439137 + 0.2?\nAnswer: 957439137.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 - (-15 - -17)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 65309805*p - 5 - 65309653*p.\nAnswer: 152*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*t, 874 = 3*x + 2*t + 351. What is the tens digit of ((-6)\/9)\/((-6)\/x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20891501?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00085237043 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73.147 + 0.147. Let v = 72 + k. Sort v, 12\/13, 0.3.\nAnswer: v, 0.3, 12\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 153, 245, 335, 423?\n\"Answer: -o**2 + 95*o + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -27) + -5 + 2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnzwewwwwz. What is prob of picking 1 w and 1 z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 1, p: 4, z: 3, y: 2}. What is prob of sequence yp?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 378 = 83. Let j = 119\/2 - k. Let v = 3 - -2. Is j equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59\/45 - 629\/495. Is l at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrdrrdrxdrrrrdrdr. Give prob of sequence rrd.\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1331) - (sqrt(539) + 5)**2.\nAnswer: -563 - 59*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.67 and 2028801.9916?\nAnswer: 2028800.3216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 2:57 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 5*n - 25, 2*v = -6*n + 9*n - 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 211*h**2 - 4180*h + 3438. Determine x(189).\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*m + m - 178, 0 = -4*l - 3*m + 336. Is 29 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 242 in 0.9, 1, -1\/95?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, -14, 3, 17 in decreasing order.\nAnswer: 112, 17, 3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 25 = -3*t - 2*t, t = 5*v - 13. Suppose 76 = 4*x - v*r - r, 3*r + 9 = 0. Suppose -x = i - 5*i. Solve -4*w + i + 12 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n + 16. Let d be g(-9). Suppose j - a = -6, -2*a - 2 = 3*j + 3*a. Sort 3, d, j in descending order.\nAnswer: 3, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47442 (base 8) to base 15\nAnswer: 6008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1319*q - 211. Is i(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -5072, 3817 in increasing order.\nAnswer: -5072, -16, 3817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**6\/40 + q**5\/5 - q**4\/2 - 279*q**2\/2 + 15. Let d(f) be the second derivative of w(f). Determine v so that d(v) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*c + 16008 = 48*c. What is the greatest common factor of 162 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 12. Let c(r) = 5*r - 101. Let o be c(20). Put o, l, -5 in descending order.\nAnswer: l, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqoqqqqqoqqqqqooq. Give prob of picking 3 o.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uktfhfuuhkthuttttu. What is prob of sequence hk?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 48.5 times 104.212\nAnswer: 5054.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 661 - 662. Let t(f) = -f + 3. Suppose 0 = -5*m + q, 2*m = -10*q + 5*q. Let h be t(m). What is the nearest to w in -1, 1\/2, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 404, 587, 784, 1001, 1244, 1519?\n\"Answer: m**3 + m**2 + 173*m + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 722*q - 712*q = 97680. Is 44 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4525164 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 328510666?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwkxhdkxkdkd. Give prob of sequence kkwh.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 3*i**3 - 2*i)*(8*i + i - 11*i)*(-1 + 1 + 2*i)*((3 - 5 + 1)*(-4 + 6 - 4) + 10 + 4 + 0).\nAnswer: -192*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 94814326?\nAnswer: 663700282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 0.02, 3, -0.03, 28203.\nAnswer: -0.03, 0.02, 0.07, 3, 28203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (27\/12)\/((-3)\/(-8)). Solve 4*u = 3*t - n - 17, 3*u + 16 = 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2704*k**3*m - 41*k*m - 14*k + m - 2 wrt k.\nAnswer: 16224*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 8 - 44 - (8 - (18 - -2))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/(324\/(-24) - -15). Let m(o) = 1. Let d(u) = -u**2 - 3*u + 3. Let t(k) = d(k) - 5*m(k). Let q be t(-3). Put q, -4, z in increasing order.\nAnswer: -4, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 48*g + 23 - 11\/5*g**5 + 0*g**4 - g**3 + 0*g**2. What is the derivative of y(r) wrt r?\nAnswer: -44*r**3 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 1 - 2)\/(-1). Let m(q) = 2*q + 36. Let b be m(-17). Which is greater: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1879 - 3813 + 1870 - 1016*g.\nAnswer: -1016*g - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8a41 - 1064?\nAnswer: -9aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 150 or -127?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 942623352 a multiple of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -834*u + 501*u - 477*u + 6 - 713*u - 8 as g + n*u and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56649 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40836419 divided by -2701?\nAnswer: -15119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18\/11 - 225\/77. Let a = -1 - p. Put a, 1\/5, -3 in descending order.\nAnswer: a, 1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 199, 198, 197, 196, 195?\n\"Answer: -g + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75617?\nAnswer: 75617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = q - 3*l, -q - 5*l + 15 = 3*q. Suppose 2*i - 5*v - 20 = 0, -i = 4*i - 3*v - 31. Let x = 2 + -2. Solve x = q*n + i - 25 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -194. Suppose 0 = -t + 21 + 161. Which is bigger: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - r - 2. Let x be c(-2). Suppose -2*f = f - 15. Suppose x = f*g - 1. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**7\/21 + 11*x**6\/15 - 17*x**5\/5 + 23*x**4\/3 - 29*x**3\/3 + 7*x**2 - 2*x - 5. Factor q(k).\nAnswer: -2*(k - 7)*(k - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aat. Give prob of picking 2 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 21*z - 124, -m - 32 = 2*z - 45 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkkklkklfklfl. What is prob of sequence lf?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 + -123 + 76 + -2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80 - 32) + (4 - -4 - 21).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -142 - -3) + (-1958 - -1991).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-468)*-27)\/(-1*(-117)\/4)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(1\/3))\/k)\/(k*(k\/k**20)\/k) assuming k is positive.\nAnswer: k**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 + 232. Is 30 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1) + (-2)\/(-9). Let y = 33\/2 - 18. What is the closest to -1\/2 in 3, y, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*m**3)*(1828*m - 4091*m - 2041*m).\nAnswer: 8608*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -8 (c) 4 (d) -1\/14 (e) -37 (f) -0.37 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94960557?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 6*i + 3. Let x be p(6). Suppose x*c + 15 = -2*r, -4*c + 4 = -0*c. Is r\/(-4)*(-96)\/(-18) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 3:12 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 193 - 73. Suppose -4*d + g = d. What is the remainder when d is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**17\/l*l)**9)**(-29\/2) assuming l is positive.\nAnswer: l**(-4437\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 11*p**2 + 19*p + 11. Calculate the remainder when 36 is divided by y(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -26*c - 6. Let w be x(-4). Let g = w - -76. Suppose 2*r + 0*r = -4*d + g, -3 = 3*d. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-2))\/(2\/(-10)). What is the third derivative of -2*j**3 - 3*j**3 - 5*j**2 + p*j**3 + 2*j**3 wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/8 of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-3\/16))\/m*m)\/(m**27\/m) assuming m is positive.\nAnswer: m**(-403\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 4*(-3 - (-15 + 2) - 30\/(-24)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -49324019*-17\nAnswer: 838508323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -11. Suppose y + 3*g = -0*g + 6, 2*y = 4*g + 2. Suppose d = j - y*j + 44. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -2580?\nAnswer: -257a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*((-18)\/(-270))\/((-2)\/(-24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 181 = 4*w, 4*w + 2*x = -0*x + 178. Suppose -w + 19 = -q. Let r = q - 13. Calculate the highest common factor of 84 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 1180 - 2341 + 1161.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/15)\/(22826\/(-7608) + 3). Suppose -s = -v + 253. Suppose 7*h + s = 12*h. What are the prime factors of h?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, 4, 2233686?\nAnswer: 2233686","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 65*w**3 - 35*w**2 + 70*w. Let f(s) = 11*s**3 - 6*s**2 + 12*s. Let p(h) = -35*f(h) + 6*r(h). Let q(i) = 3*i**3. What is 5*p(k) - 8*q(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1038.13*0.3\nAnswer: -311.439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1677.46+31179\nAnswer: 29501.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 36\/3638753?\nAnswer: 36\/3638753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 2. Let y(l) = -l**3 - 3*l**2 - 3*l + 3. Let f(p) = 3*p**3 + 7*p**2 + 7*p - 7. Let w(c) = z*f(c) - 5*y(c). Find i, given that w(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 + -111. Suppose -3*p + 543 = -r*p. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62316 + -1194996\/19. Let j = u + 316289\/570. Let r = j - -47\/2. Sort -0.4, r, -0.1, 3\/7 in increasing order.\nAnswer: -0.4, r, -0.1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12140391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 3*r**2 + 20*r - 3. Let b be v(6). Determine m so that 0 - 16*m - 6*m**4 + b + 2*m**5 + 14*m**3 - 2*m**2 + 16*m**4 - 17 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115323 divided by 2957?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13155 is divided by 4369.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cje when three letters picked without replacement from {m: 5, e: 1, j: 4, c: 3}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093 > 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 800 = 385*b - 352*b, 0 = -2*b + y + 44 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**5\/3 + 33176*l**4\/3 - 132580*l**3 + 1689896*l**2\/3 - 3048016*l\/3 + 662560 = 0. Calculate l.\nAnswer: 2, 3, 5, 8282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*z + 4 + 36 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*s + 26*s + 4*s**3 + 4 to w + h*s**2 + q*s**3 + k*s and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + -67)*(-61488)\/432?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 1 = 11*p - 107*p. Let n(t) be the second derivative of p*t**2 - 3*t + 0 - 7\/12*t**4 + 4*t**3. Find the second derivative of n(g) wrt g.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65399.\nAnswer: 17, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 2, 0 in descending order.\nAnswer: 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, -6, -2, 12, 4 in ascending order.\nAnswer: -139, -6, -2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**4\/24 - h**2. Let j be k(-4). Let b(v) = 2*v - 1 - j - v. Calculate b(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 14. Let s(h) = -h - 14. Let q(i) = -5*a(i) - 6*s(i). What is q(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 207365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12378360 and 0.2?\nAnswer: 12378359.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7154 (base 8) to base 10\nAnswer: 3692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4617*o**5 + 418*o**4 - 2*o**3 - 18203126*o**2?\nAnswer: 277020*o**2 + 10032*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(11\/4)*a**5 assuming a is positive.\nAnswer: a**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 15) in base 6?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 7*i = 0. Let a(m) = 3*m + 12. Let q be a(-5). Let x be i + (q + 6 - 1). Solve v = -x*u + 5, 2*v - 6*v = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -7, -1, -0.06 in descending order.\nAnswer: 2\/7, -0.06, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*y - 5 + 67 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-8) - (-23)\/(-92).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -3\/5, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 107*g + 6811. Calculate j(-64).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -19 (b) -4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4765848 divided by -136\nAnswer: -35043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -1\/588 (c) -5 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 6:46 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/80*5 - 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -852828872*d**2 - 2*d - 110987146 wrt d.\nAnswer: -1705657744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4581 and 3013.62.\nAnswer: 7594.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182591 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: Express (3*a**2 - 6*a + 6*a)*(-19332*a - 19331*a - 15 + 38733*a) in the form y*a**2 + m + o*a + u*a**3 and give y.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 227*x + 952. Calculate m(-118).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13566 and 532.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 153*g - 370*g + 174*g)*(2 + 0 + 0 + (3 - 5 + 1)*(-1 - 2 + 2) + 2 - 4 + 4 + 2 + 1 - 4 + 0 - 4 + 3) + 5*g + g + g as r + v*g and give v.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10234*c**3*l**3*o + 2732*c**3*l**2*o**2 + 250*c**2*l**3 + 549*c*l**3*o**2 + c*l**2 - l*o wrt o.\nAnswer: 5464*c**3*l**2 + 1098*c*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11100\/31 or -357?\nAnswer: -11100\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 131*(2 + -6 + 5)*-1. Let j = m - -903. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -190a41 + -45?\nAnswer: -190a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 4*i + 24, 4*v + 17 = 5*i - 11. Let o = 13 - v. Let h be (-6)\/5*10\/(-4). Solve 2*y = 4*y - a + 10, -h*y - o = -a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzuuzuuuttutzt. Give prob of picking 3 u.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1834817 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opzsmmpjsjmm. Give prob of sequence sojs.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*n + 238 - 168 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**2 - 550*p. Let g(u) = -u**2 - u. Give 2*g(s) - m(s).\nAnswer: s**2 + 548*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f - j = -7, -2*f - j = -8. Put 0.06, f, -1\/4 in ascending order.\nAnswer: -1\/4, 0.06, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 12984*t**2 + 63884*t + 3033576.\nAnswer: 4*(t - 3241)*(t - 18)*(t + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c - 2. Let b(w) = 23*w - 90. Calculate -b(a) - 6*x(a).\nAnswer: -11*a + 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 10:02 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 11010?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 261\/2*(-116)\/(-174)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2. Suppose i = 4*h + 380, 4*i + 188 = -2*h + 5*i. Let f be h\/(-238) + (-6)\/21. Sort f, 3, d in ascending order.\nAnswer: f, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 1 - 3. Differentiate 4 - 3 + o - 2 - 4*w**2 with respect to w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from hibyibjyiyibbhyi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 76409803261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1581*f + 16504 + 6000 = -4373 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 15.56. Let z = 0.06 + c. Sort 1\/3, z, 2 in decreasing order.\nAnswer: 2, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -69*v**3 + 6*v**2 + 69*v - 6 = 0. Calculate v.\nAnswer: -1, 2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**5\/11 + 6*s**4\/11 + 8*s**3\/11 - 16*s**2\/11 - 48*s\/11 - 32\/11 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2834050 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -223535 (base 8) in base 4?\nAnswer: -102131131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 11*h**4\/12 + 4*h**3\/3 + 5*h**2 + 5*h. Let y be x(10). Suppose -271 = -3*l + y. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 3*o**2 + 7*o - 22. What is u(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 2. Let w = 12 + -35. Let a = -14 - w. Let b = -13 + a. Determine l(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-29)\/(-203) + (-1583)\/3045. Let c = v - 2\/87. What is the closest to -1 in c, 58, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/15, -3, -15 in increasing order.\nAnswer: -15, -3, 2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34186, 47615, 61044?\n\"Answer: 13429*s + 20757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(17) + 1).\nAnswer: 12 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0050502 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v + 25. Let b(d) = d**2 + 3*d - 8. Let m be b(v). Solve 0 = -6*q + m*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 671 = -b - 4*u, 13*b - 4*u = 16*b + 1981. Let s = 3426 + b. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1033 and -206.\nAnswer: -1239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*l + 66*l - 142*l - l**3.\nAnswer: -l**3 - 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5654 is divided by 126?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8761380.\nAnswer: 2, 3, 5, 146023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 331 + -329. Suppose 0 = 20*a - g*a - 216. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5009 and -1.4.\nAnswer: 5007.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403*n = -411*n + 122952. List the prime factors of n.\nAnswer: 3, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2746*i**2 - 2 + 2928*i + 13119*i**2 - 2928*i + (i - 6*i + 3*i)*(-4*i + 4*i - i).\nAnswer: 10375*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*o - 2*a, 3*o - 19*a = -14*a + 10. Solve 0 = -5*m - 4*z + 31, -3*m + 4*z + 0*z - 7 = o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-54288)\/1856)\/(9\/(-4))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s. Let t = 32 - -19. Let k(g) = -t*g + 23*g + 29*g. Determine u(k(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/((-1155)\/(-14)))\/(((-200)\/900)\/(4\/(-3)))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -407a1 + 58?\nAnswer: -40745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -576 + -17722?\nAnswer: -20520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*x - 220 + 40 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + sqrt(180)*-2*1 + (sqrt(245)*-2 - sqrt(245)*2) + -5)**2.\nAnswer: 80*sqrt(5) + 8001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 3)*(-4 - 4 - 15)*(10*w - 4 + 4 + 1) as u*w + y and give u.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3, 41, 175, 465, 971?\n\"Answer: 10*n**3 - 12*n**2 + 4*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(5\/7)*d\/(d**5*d)*d assuming d is positive.\nAnswer: d**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-9)\/15*(-400)\/60 and 37\/4 - (-3)\/(-12)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 388\/2013 - 2\/183. What is the closest to 0.1 in j, -0.4, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**2. Let f(k) = 1877*k - 24. Let d(s) = -6179085*s + 79002. Let h(m) = -4*d(m) - 13167*f(m). What is h(j(q))?\nAnswer: -7524*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -40. Suppose -7*k + j*k + 4*x + 208 = 0, 2*k - 4*x = 100. Let n = k + -60. Which is greater: n or -28\/5?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 + 0*t**3 + t**3)*(44 - 103 - 195 + 29)*(t + 7 - 7).\nAnswer: -675*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -542*(-2)\/(-54)*-3 + 776\/(-3492)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2872*b - 2427*b + 3115 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.2 + 11. Suppose -2*m - 27 = -33. Which is the third smallest value? (a) m (b) v (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27499981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15718703, -31437405, -47156103, -62874797?\n\"Answer: 2*j**2 - 15718708*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/11)*m*m*m*m\/(m*m\/(m\/(m**(-2\/103)*m*m))))**(24\/7) assuming m is positive.\nAnswer: m**(25248\/7931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298541232.\nAnswer: 2, 3, 11, 188473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 827763.2 nanometers to kilometers.\nAnswer: 0.0000008277632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 482 - 462. Let n = -19 + k. Which is the nearest to n? (a) 0 (b) 7 (c) -0.4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 6e?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Let a = -25 + 41. Suppose g = 5*l - 14 - a. What is the remainder when 17 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187 - 31. Suppose 4*s - 10*s + l = 0. Calculate the least common multiple of 6 and s.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 4, 3, -4 in descending order.\nAnswer: 4, 3, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -5*h - x, -4*h + 2*x = 5*x - 135. Let w = h + -20. Differentiate -12*b**2 - 16*b**2 + 11*b**2 - w wrt b.\nAnswer: -34*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*p = -0*p + 10, -l + 2*p = 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*b**2 - 4\/3*b + 7.\nAnswer: -(b - 3)*(b + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 a factor of 4599262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(612) - (-1 + sqrt(612) + 1))*-4 - (-5 + (-1*sqrt(612) - sqrt(612))*-1))*1*-6)**2.\nAnswer: -108000*sqrt(17) + 2225700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5620, -11243, -16868, -22495, -28124, -33755?\nAnswer: -39388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*f**4 + f**3 + f + 167.\nAnswer: -312*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -4767?\nAnswer: -4\/4767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/37 in 1\/4, -2\/23, -6\/7, -4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 1 - 5. Let q = -1 + 6. Let d be (45 + 15687\/(-351))*-13. Put q, -0.2, d, v in decreasing order.\nAnswer: q, v, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 14*m - 35 = 11*m, -q + 5*m - 20 = 0. Suppose -8*l + 2*i = -q*l - 1355, -4*i = 4*l - 1780. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 41. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 6*h**2 + 7*h - 5. Let v be w(5). Let o be -5*-6*2\/v. Suppose -o = -3*d - 3*x + 4*x, 3 = 3*d + 2*x. Solve -d*b + b = -10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-45395598)\/(-456) - (-3)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**(7\/5)\/(b**(1\/2))**(-23) assuming b is positive.\nAnswer: b**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1448 - 57. Is 41 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-33) + (-204)\/(-66) + 42976 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26, 5, 120, 361, 770, 1389?\n\"Answer: 7*v**3 - 18*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-26)\/10 - 1. Which is the third smallest value? (a) 8 (b) -0.2 (c) -2\/17 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50*u**3 + 53*u**3 - 4*u**2 - 4*u**3 - 3649 + 285*u**2 + u + 2*u**4 wrt u.\nAnswer: 24*u**2 - 6*u + 562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567773385?\nAnswer: 3, 5, 37851559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 10658708.\nAnswer: 1\/10658708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 5*f**7\/42 + f**4\/12 + 6*f. What is the third derivative of m(o) wrt o?\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 9:20 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/9)\/((-1)\/((-99)\/22))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 4 = -2*b. Let s be 4\/5*(-1 - -6). Suppose 0*u - u + s = 0. What is the remainder when u is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -861, -1695, -2567, -3471, -4401?\nAnswer: -5351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11.82 - 150023614672\nAnswer: -150023614683.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 46*v - 1. Let u be x(-3). Let d = u - -318. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-145 + 20*o + 145)*(5*o - 2 - 6*o + 0).\nAnswer: -20*o**2 - 40*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 12*b + 4240 = 0. Suppose 242*f = 244*f - b. What are the prime factors of f?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(325)*2 - sqrt(325)) - sqrt(325)) + sqrt(325) - ((-2 + sqrt(13))*6 + -4))**2.\nAnswer: -32*sqrt(13) + 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15243 is divided by 1953.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 6*t + 11 = 4*f, -2*t = 4*f - 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10256556 (base 8) to base 2\nAnswer: -1000010101110101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 522.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -700 equal to -700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 262171 to the power of 1\/2, to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 403*v + 4. Let j(o) = -450956*o - 4477. Calculate 4477*f(y) + 4*j(y).\nAnswer: 407*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 75*j - 792. Give s(-63).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + 0.9. Let p = 1.433 - -149.467. Let v = 151 - p. Which is the third smallest value? (a) g (b) -0.5 (c) -5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*t = -36, -2*h - 3*t + 32 = -5*t. What is the smallest common multiple of 1525 and h?\nAnswer: 16775","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t - 4. Let c(y) = -y**3 + 7*y**2 + 10*y - 19. Let f be c(8). Give d(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 - (-5 + 4)) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*l = -9. Let u(j) = -5*j + 48. Let b be u(l). Suppose -5*w + 269 = -4*n - 60, -n = b*w + 78. Is n != -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-2)\/8*-2. Suppose 0 = -3*a - 0 + 6. Let g(p) = 4*p**2 - 1 + 0*p - p - a*p**2 - p**2. Calculate g(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 = -3*h, -32*g - 6 = -35*g - 3*h. Solve -2*f = 0, -f - 10 = -g*s + 4*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, e: 13}. Give prob of sequence el.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 5. Let k = -9 + 2. Let n be c(k). Suppose -n*h - 25 = 3*h. Let x(z) = z**3 + 6*z**2 + 7*z + 5. What is x(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 15*k + 120. Let p be (3 - (-27)\/(-3)) + k. What is the greatest common factor of p and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2129.0499 months in millennia?\nAnswer: 0.177420825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 8:27 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 + 0*s**2 - 2*s**3 + (1 + 1 - 4)*(-2*s**2 + 2*s**2 + 3*s**3) - 4*s**3 - 4*s**3 + 2*s**3 as c*s + y + f*s**3 + v*s**2 and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/9)\/(-1)*3. Let l = f - -13. Suppose 0*m + l*x - 3 = m, 0 = m - 2*x - 3. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26529?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*30.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*n + 353 - 25 = 0, 0 = 5*n - 20. What is the second derivative of -47 - 13*a**2 + p*a + 5*a**2 + 47 wrt a?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -12*d**2 + 5*d - 6. Let l(z) = 6*z**2 - z + 56. Let k(w) = -w**2 - 11. Let s(q) = -5*k(q) - l(q). Determine -b(p) + 6*s(p).\nAnswer: 6*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o - 99*o + 959 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1546?\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 - -1.2. Let k = 156 - 157.34. Let c = k - -0.34. Sort c, t, -0.1, 0.3 in descending order.\nAnswer: 0.3, t, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 75, 155, 235, 315, 395, 475?\n\"Answer: 80*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 202, 19, -266, -653, -1142, -1733, -2426?\n\"Answer: -51*o**2 - 30*o + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 919*c**2. Let s(q) = -q. Calculate s(p(x)).\nAnswer: -919*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 3\/4, 32\/3, 6.\nAnswer: -2, 0, 3\/4, 6, 32\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/47 (b) 4\/5 (c) 4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/690 - (-4)\/30\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1744.\nAnswer: 1\/1744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 99413 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*k + 46*k - 117 = -48*k for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297 and 58163193?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -352 + -50223?\nAnswer: -51015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.795 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 29*k = -34*k - 392, 0 = -k + 4. Calculate the highest common divisor of 2987 and r.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198131 and 4063.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6973 - -6925. What is the closest to 2\/7 in j, -0.2, 3\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38 and 182?\nAnswer: 3458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01204216906 to four decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.98 + -0.02. Let b = -58 - -54. Let i = -4.5 - b. Put i, 2, g in ascending order.\nAnswer: g, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v\/(v\/(v*v**(1\/7)))))\/(v*v**(-12)))\/(v**(1\/7))**32)**49 assuming v is positive.\nAnswer: v**357","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = g + 4*c - 19613, -5*c - 98035 = -5*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -20*z + 3. Let w be j(4). Let q be 14\/w + 38\/88. Solve 1\/2*k**3 + 0 + 1\/4*k**4 - q*k**2 - 1\/2*k = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30969715.57 + 30967958.5695929. Let a = 1757 + c. Round a to 5 decimal places.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 19. Is (-6)\/(-4) + 225\/l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13393794.\nAnswer: 2, 3, 821, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -8911 (c) 3\/692\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8 - 2*u - 9 - 3*u**3 + 2. Determine h(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)*1*-5)\/(sqrt(5) + sqrt(5) + (sqrt(35)*-3)\/sqrt(7)).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/8*5\/((-75)\/12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)*y**7\/y*y)\/((y*y\/(y\/y**(-2\/7)))\/(y**(-5)\/y*y)) assuming y is positive.\nAnswer: y**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1*(40\/420)\/(2\/15)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*g - 145*g + 118*g**3 - 114*g**3.\nAnswer: 4*g**3 - 230*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 10:05 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2063744?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**2*t\/((t\/(t\/(t*t**(-2\/79)\/t*t)))\/t)*t assuming t is positive.\nAnswer: t**(318\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccscscccssscs. Give prob of picking 2 c and 1 s.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 h, and 1 p when three letters picked without replacement from pphpc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2826*j - 2796*j - 420 = 0 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2. Let l(q) = 2*q**2 - 137*q. Let h(z) = z**2 - 68*z. Let d(r) = 13*h(r) - 6*l(r). Determine y(d(c)).\nAnswer: 2*c**4 - 248*c**3 + 7688*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8682 divided by -2894?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 - 6*m**2 - m**4 + 14*m**2 - m - 5*m**2 + 2 to the form s*m**3 + n*m**2 + c*m**4 + p + f*m and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219190*g**3 + g - g + 217942*g**3.\nAnswer: -1248*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 0*f**5 + 0*f - 1\/180*f**6 + 0*f**7 + 0*f**3 + 0*f**4 - 2*f**2 + 1\/504*f**8 + 0. Factor t(j).\nAnswer: 2*j**3*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*z + 163*z - 175*z + 6622 - 1734 = 0 for z.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*l + 12, -4*m = -3*l - 3*m - 11. Let o = l - -7. Suppose -o*v = -4*v + 19. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b + 1 - 1 + (b + 3 - 3)*(2 - 5 + 4) + 2*b + 0*b + 87 - 86 + (-b + 1 - 1)*(-4 - 1 + 2).\nAnswer: 8*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 4)*(-3*d**4 - d**4 + 0*d**4) - 667*d**4 - 659*d**4 - 17*d + 12*d.\nAnswer: -1334*d**4 - 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (-7)\/(-3)) + 80\/(-3). Let f = t + 47. Suppose f = 10*u - 5*u. Solve -o = 1 + u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 42096*z + 126304. Calculate f(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)*(h*(h**(-2\/17)\/h)\/h)\/h*h**3\/(h*h**1))\/((((h*h*h**(-1))\/h)\/h*h)**(14\/9)*(h**(1\/2))**(-23)) assuming h is positive.\nAnswer: h**(183\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 272*t**2 + 126*t**3 - 220*t**2 - 127*t**3.\nAnswer: -t**3 + 52*t**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 121?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 8*q + 197. Let l be 34\/(-10) - 12\/q. Sort l, 3, -15\/4 in decreasing order.\nAnswer: 3, l, -15\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from {n: 4, s: 9, c: 1, f: 3, i: 1}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 8*c**2 + 19*c - 2. Determine q(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - -10. Suppose -2*r - 22 = j, 7*j - 2*j = 3*r - 58. Let x = u + j. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 3*c**2 + 7*c + 1. Let g be -2*((-3)\/(-3) - 2). Suppose -g*f - 1 = m + 6, 39 = -4*f + 3*m. Is z(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1053c5 (base 13) to base 7.\nAnswer: 3153314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0102306 rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in -1\/5, -2, 98, 4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - -24. Suppose -n + 144 = 3*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 13a?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -141 smaller than -140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.69 - -1.19. Suppose -7*u + 2*u = -125. Suppose 5*h = -m + u, -2*m - 5*h + 14 = -11. Sort 4, -1\/6, j, m.\nAnswer: -1\/6, m, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*b - 19*b**2 + 15*b + 2*b + 96*b**2 + 3 - 2*b**2 - 3 + (0 - b + 0)*(-2 + 2 - b) - 3*b**2 - 2*b**2 + 3*b**2.\nAnswer: 74*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 19376.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -658.68 + 747.6. What is n rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434 = -25*t - 410 - 700 + 219 for t.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 7*s**2 - 3*s + 8. Let u be q(7). Let h = -76 + 64. Let f = -26 - h. Which is bigger: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 135339*u**5*x + 7*u**2*x**2 + 2366*u*x**2 + u*x - 88*x**2 - 2*x wrt u?\nAnswer: 2706780*u**3*x + 14*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/54*(-2)\/(-28)*-8.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54821 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -19. Let b be ((-9)\/v)\/((-2)\/(-556)). Suppose n = -n + b. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(-3*sqrt(1000) - sqrt(1000)))\/(sqrt(6)\/sqrt(3)*4*-5).\nAnswer: sqrt(3)\/800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 24 = -7*q. Let a = q - -10. Suppose a*d + 393 = 7*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 84989?\nAnswer: 5099.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2820 and 97\/188.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/11*t**2 - 5\/11*t**3 + 5\/11*t + 0 - 1\/11*t**4.\nAnswer: -t*(t - 1)*(t + 1)*(t + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(627) + (sqrt(627) - sqrt(627)*-2) + sqrt(627)))\/(sqrt(132)\/(sqrt(24)\/sqrt(2))))\/(sqrt(432)*-3 + sqrt(3)*-3*4).\nAnswer: 5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1886 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 410 and 984.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**2. Let i(w) = -8*w**2 - 20*w + 20. Let p(n) = n**2 + 3*n - 3. Suppose 0*x + 240 = 6*x. Let z(s) = x*p(s) + 6*i(s). Determine a(z(m)).\nAnswer: -256*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 91.62527l?\nAnswer: 91625.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 31*q**2 - 409*q - 34. Let y be c(41). Solve -20 = -5*s - 12*x + y*x, -2*x = s - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/11607818 and 13\/22312?\nAnswer: 46431272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3*g**4 - 4)*((0 + 1 + 1)*(0 - 4 + 2) + 5 - 2 - 4) in the form t*g**4 + y*g**2 + l*g + q + p*g**3 and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2 - 2*o + 10. Let a(i) = i**2 + 1. Calculate 4*a(w) - u(w).\nAnswer: -w**2 + 2*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43 and 8?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/3 + 8*n**2 + 119*n\/3 - 48 = 0. Calculate n.\nAnswer: -16, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36632 and 2160?\nAnswer: 9890640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 - 5786*h**2 - 5788*h**2 - 4*h**3 + 11567*h**2 - 9*h to the form t*h**2 + w*h**3 + z*h + x and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q + 3 = -3*p, 5 = -5*q - 4*p. What is the first derivative of 6 - 15*t + 0*t - 3*t - q*t wrt t?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.014463 and -9?\nAnswer: 0.130167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 102102000220021 (base 3) to base 7\nAnswer: 102351304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m. Let k(o) = 8*o + 10. Let w(c) = -3*c - 3. Let g(u) = -2*k(u) - 7*w(u). Let q(f) = -1 + 3 - 1 - 2. Let s(b) = -g(b) - q(b). Determine j(s(p)).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 32*q**3 - 187*q**2 + 25*q - 125. Let n be u(6). Is n less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -18573*v. Let k(s) = 7*s. Determine g(k(f)).\nAnswer: -130011*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 5, 17, 2, 4791 in descending order.\nAnswer: 4791, 17, 5, 2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33303 (base 5) to base 2.\nAnswer: -100100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4415\/288 + -375\/32. What is the common denominator of -69\/4 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -4)\/(-5 + (-2 - -4)). Solve p = -2*w - o + 2*o - 4, w - o = -3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -154 - 157 + 305. Solve l + y = b, 123*l - 4*y = 124*l - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (42 - (19 - -29)) - (-14 - 2).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4*w + 12, -52*w = -4*l - 55*w - 33. Let m(s) = 9*s**2 + 5*s - 6. Let p(t) = -5*t**2 - 3*t + 3. Determine l*m(h) - 11*p(h).\nAnswer: h**2 + 3*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -227*g**2*k - g**2 + 42*g*k - 3*g + 57*k + 167606 wrt k.\nAnswer: -227*g**2 + 42*g + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34 and -4.7.\nAnswer: -159.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 626*f*h*x**3 + f*h*x**2 + f*h + 2*f*x + 88*h*x**2 wrt x.\nAnswer: 3756*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v\/(v*((v\/(v*v**(-34)))\/v)\/v))*v**(-22\/5) assuming v is positive.\nAnswer: v**(138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -83434 bigger than -83195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24243, -24182, -24079, -23934, -23747, -23518, -23247?\n\"Answer: 21*q**2 - 2*q - 24262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -144*l + 146*l. Suppose 94*x - 100*x + 12 = l. Solve -x*t = t - u + 10, 2*t - u = -7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**3\/3 + l**2 + 2*l + 4. Let q be p(4). Let i(k) = -3*k + 3*k - 27*k**2 + q*k**2. Let f(c) = 4*c. What is f(i(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -25 - 28*s + 54*s - 28*s. Let w be u(-8). Let a(b) = 5*b + 52. Let o be a(w). Solve o = 2*j - 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 6 + 2. Let v = 11 - u. Calculate the remainder when 27 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1104839?\nAnswer: 101, 10939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (112\/(-70))\/((-22)\/7865*-13)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 2:19 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -221.516 - -157\nAnswer: -64.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhzzhhhh?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**3 + t**2 + 31996*t - 159994. Give g(5).\nAnswer: -739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/21*(-2)\/(-3). Let l = -199\/6 + 33. Let j = 0.6601 - 3.6601. What is the second smallest value in g, l, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/4 - 69*j\/2 + 134 = 0 for j.\nAnswer: 4, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7262761 milligrams to grams.\nAnswer: 0.0007262761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1120302303 (base 4) to base 5\nAnswer: -43114244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -12. Let g = -4 - q. Solve -3*y = 12 - g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -53\/6, -5 in ascending order.\nAnswer: -53\/6, -5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*a + 416*a - 195 = 0 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*d**3 + 284\/3 - 190*d + 96*d**2.\nAnswer: -2*(d - 142)*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -0.04 (c) 0.4 (d) 0.02 (e) 275\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 236 + 18. Let i = 155 - n. Suppose 4*f - 126 + i = 0. What is the greatest common divisor of 30 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2fba (base 16) in base 4?\nAnswer: 2332322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/3*2*(2 - 4). Let t(r) = r**2 + 11*r + 15. Let l be t(i). Calculate the common denominator of (-8)\/55 - 5\/75*l and -59\/114.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) -6\/7 (c) -1\/3 (d) -3 (e) 2\/75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-6))\/(5\/15). Let r = k - 1. What is the first derivative of b**r - 1 - 3 - 1 wrt b?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*m + 9 = -123, 3*j - 2*m = 392. Calculate the lowest common multiple of j and 65.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26416?\nAnswer: 2, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**2)\/q)\/q*q*q\/q**(2\/11)*q)**(-24) assuming q is positive.\nAnswer: q**(-1008\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v + 3035 = 24*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - c + 10 = 0, 4*l + 9*c - 2 = 4*c. Determine y so that -12*y + 23*y + 49*y - 16 + 58*y**2 - 18*y**l = 0.\nAnswer: -1, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-25)\/(-75))\/((-1)\/3))\/((-90)\/10)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -447*f - 137. Is p(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from lhulhllhhhh.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 173 + -219.5. Let q = 47 + n. Let r be (2 - 19\/9)*-3. Sort -1\/3, r, q in decreasing order.\nAnswer: q, r, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + n**2 + 7*n**2)*(15*n + 0*n + 2*n)*(2 - n - 2).\nAnswer: -187*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -83857841*a + 75137137 wrt a?\nAnswer: -83857841","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 1604 + 996 = 0. Find the common denominator of 39\/110 and (-30)\/v*(-158)\/(-9).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/25190073 and -19\/1598.\nAnswer: 50380146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 2}. What is prob of sequence cc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -27. Let k be (-1 - (-4 + 0))*-1. Let t = k + q. Solve -t*g - 2*a = -5 - 3, 0 = g - a + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 + -105. Solve 3*s - y = 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ufuffu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 3*r + 2. Let n be v(0). What is the tens digit of (16\/20)\/(n\/190)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**3\/3 - g**2 - 2*g - 1. Let a(q) = q**3 - 6*q**2 + q. Let k be a(6). Suppose 0 = 2*v - 6, -k*v = 3*d - 2*v. What is u(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345097523 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q**2. Let t(l) = l + 5. Let j be t(-7). Let f(a) = -a + 2. Let m(o) = -2*o + 5. Let k(r) = j*m(r) + 5*f(r). What is k(h(w))?\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(35))\/sqrt(7) + 1 + -2*(sqrt(320) + 0).\nAnswer: -17*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*(((-1*sqrt(76) - sqrt(76))*6)**2 - ((sqrt(76) + (sqrt(76) - (-5 + sqrt(76) + 0 + sqrt(76))) + sqrt(76))**2 - sqrt(76))) + 5.\nAnswer: -43362 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2 - 3*i**2 + 2711*i + 2*i**2 - 2705*i. Give k(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*k - 93 = 179, -4*d = -2*k - 222. Let o be -1 + 5 - (0\/1)\/(-1). Suppose 3*s - 10 - 5 = 0, a - d = o*s. Does 26 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7100*g**2*z - 3*g**2 + 3*g + 409674*z + 2 wrt g.\nAnswer: -14200*g*z - 6*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73318 times 0.04?\nAnswer: 2932.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*m - 60 = 0, -4*u - 5*m + 104 = -16. What is the remainder when u is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 0 + -1 + 5. Suppose -4*f + 5*g = -f - 267, -5*f = t*g - 405. Is 28 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 4*h**2 + 2*h + 2. Let s(x) = x**2 - 8*x + 9. Let n be s(7). Suppose v + 2 = n*v. Give a(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 40*l - 8. Calculate j(-1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3 times 11710?\nAnswer: 38643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5057 + 3*q - 5057.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 21*j**2 - 42*j + 3. Let q be l(22). Let k = 64 - q. What are the prime factors of k?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -0.3, -1, 4, 0.01 in increasing order.\nAnswer: -11, -1, -0.3, 0.01, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.408, 399, 46, -0.4 in descending order.\nAnswer: 399, 46, 0.408, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*p - 6 = -4*g + 56*p, 0 = 4*g - p - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 13. Suppose -3*j + 11 = 5*o - 3*o, 0 = -2*o + j - 9. Suppose -4*b + 24 = -0*k - 5*k, k = -5*b + 1. Put q, o, k in descending order.\nAnswer: q, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-30)*s**(2\/35)*(s**(1\/25)\/s)\/(s*s**(1\/14)) assuming s is positive.\nAnswer: s**(-11191\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175871.\nAnswer: 397, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*48\/9 + -2. Suppose -1 - m = -5*h. Let b = -3 + 3. Solve b*g = h*g - c + 15, -7 = g - c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-19 - -11)) + 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t + 37 = 2*n, -5*n + 5*t + 55 = 0. What is the highest common factor of n and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 971289.\nAnswer: 3, 11, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.35 + 0.05. Let z = 223 + -223.06. What is the second biggest value in -5, w, -4, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-2)*1\/(-4). Let v = 13 + -38. Let a be (-8)\/6 + 0 + (-25)\/v. What is the biggest value in -2\/9, m, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 - 9*q**2 + 15*q + 22. Let j(w) = -5*w**3 - 25*w**2 + 41*w + 67. What is 11*d(i) - 4*j(i)?\nAnswer: -2*i**3 + i**2 + i - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**3 - 15*a**2 + 32*a - 55. What is the least common multiple of 840 and t(5)?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 229610?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 4*c**2 + 3*c - 2. Let r be j(-3). Let z = -17246.5 + 17247. What is the nearest to 1 in 5, z, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51775.\nAnswer: 5, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 26 = j, 3*j + 10 = -m - 2*j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11865 - -17187. Let f = -2232 + b. Suppose 0 = -28*d + 18*d + f. List the prime factors of d.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/9 + (-56)\/72. Is 1\/12 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-18) - 61\/(-9). Suppose -8 - j = -5*a. Solve a + 1 = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vttttttvtvt. What is prob of sequence ttvv?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d + 442 = 2*s, -680 = -3*s + 4*d. Suppose s = 5*i - i. What is the highest common factor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + t + 4. Let r be (-10)\/(-8)*(t + 5). Let s(v) = 3*v**2 + 1. Let m be s(-1). Solve -5*a + m*b = r, 0 = 4*a - 3*b - 0 + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*p**3 - 10*p**3 + 10*p**4 + (-3 + 3 + p**2)*(4*p**2 + 0*p**2 - p**2) + 22 - 22 + 4*p**4 + p in the form t*p**2 + z*p**3 + m*p**4 + b + l*p and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 1:33 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/((-585)\/1300)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q - 24. Is 9 a factor of n(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (413 - w + 384 - 641)*(0 + 0 + w).\nAnswer: -w**2 + 156*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 + 7*c**3 + 6*c**3 + c**3.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l + 28. Let q be k(9). Let z(g) = -10*g**3 + 2*g**2 - 2*g + 1. What is z(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = c, w - 42 + 41 = -c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-60) - 1\/20.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 53, 45, 23, -19, -87, -187, -325?\n\"Answer: -f**3 - f**2 + 2*f + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173019361 a multiple of 622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/5 - 461622\/290. Is l smaller than -1591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30\/13 + 21\/26. Let j(n) = n**2 - 3*n + 1. Let a be j(3). What is the closest to a in -0.2, -4, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -116, -286, -528, -842, -1228?\nAnswer: -1686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8586 = 1975*k - 14540 + 5336 - 17760 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -17, 4, 0.2, 2\/25?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**5\/6 - 11*z**4\/2 - 28*z**3\/3 - 2*z**2 + 8*z\/3 = 0.\nAnswer: -4, -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 10*l - 21. Let o be s(-5). Suppose -w - 21 = o*z, -2*z - 37 = 5*w - 4. Which is the third biggest value? (a) 0.2 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -81, -477, -195 in increasing order.\nAnswer: -477, -195, -81, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 498 + -487. Let y(s) = s**3 - 12*s**2 + 12*s - 16. Give y(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10264.386 - -10268.7860028. Let a = -18.68 - -14.28. Let s = a + i. Round s to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-144)*(-3)\/(-2)*-4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*v + 27130 = -164*v. Suppose 8*h - v = 422. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + s**3 - s**3)*(-2*s + 0*s + 0*s) + (-2*s**2 + 2*s**2 + 2*s**2)*(s**2 + 4*s - 4*s).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 - 6 + 5*u**3 - 13*u + 6*u**2 - u**3. Let f be i(-9). Is f\/(-9) - (-4)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**3 + 15*c**2 + 5*c - 3. Let k(b) = 9*b**3 - 27*b**2 - 9*b + 6. Let n(i) = -4*k(i) - 7*x(i). Calculate n(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 78986339 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 2*u = 48. Find the common denominator of ((-1)\/((-129)\/u))\/(16\/12) and (158 + 0)*(-2 + 34\/16).\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 41*u + 8. Let w(r) = -2*r + 30. Let l be w(14). What is the units digit of j(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88 by -1.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 8223791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174 and 19401.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*y - z + 3, -2*z + 4 = 0. Let u be 3 - y - 83\/(-1). Suppose 2*n - u = -3*n. Solve 2*b = b + 3*l - n, -3*b + 3*l - 27 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 3:57 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 6015.941199 to the nearest ten.\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 11.2931\nAnswer: -22.5862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 296556\/41 - 7234. Calculate the common denominator of b and -32\/7.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3469, -3472, -3477, -3484, -3493, -3504, -3517?\nAnswer: -3532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -803041*i*j**3 - i + 37*j**2 + 5144*j wrt j?\nAnswer: -4818246*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(275) + -1 + (-4*sqrt(11) + -1)*2 + 0.\nAnswer: -3*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-333 + -153)*(-1 + -53)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 2*v. Suppose -q - 2 + 5 = v, -x + 2*q = 2. Solve 0 = 5*s - x*l + 12, 8 = 4*l - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4913 is divided by 338.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 0*k - 26\/7*k**3 + 1\/14*k**4 - 26 + 0*k**2. Factor w(x).\nAnswer: 2*x**2*(x - 39)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(2\/(-6)*(196 + -193))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14820367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2128 is divided by 59?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/25 of a millisecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -8. Suppose -5*u - s = 5*y, -3*y + 0*y - 15 = 0. Solve 6 = 3*o - u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 q when four letters picked without replacement from {q: 8, r: 1, x: 11}.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**5\/60 + f**3\/2 - 9*f**2. What is x(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5339 * -0.9.\nAnswer: -4805.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - -49. Let i = 98 - h. Let x be (6\/(-45))\/(40\/i). Which is the biggest value? (a) -5 (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -371 + 376. Solve 2*c + 3*q = 12, 2*c = 6*c + l*q - 22 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q**3\/q)\/q*q)*q*q*q**(-13))\/((q*(q*q**(-4\/19)\/q)\/q)\/q*q\/q**(-2\/25)))**(-18) assuming q is positive.\nAnswer: q**(101484\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 7:45 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 38, -98, -300, -574, -926, -1362?\nAnswer: -1888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3152 divided by -339.\nAnswer: 3152\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8*(-20)\/(-25). Put f, 3\/5, 0.05 in decreasing order.\nAnswer: 3\/5, f, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44636 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -15*v**3 - 12*v**2 - 17*v - 42. Does 120 divide p(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 66 or 744?\nAnswer: 744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 732?\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 4, w: 2, d: 1}. What is prob of sequence ff?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 6254 = -1186. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33451719 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262394254 is divided by 161?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 3:16 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -274095, -274091, -274073, -274035, -273971, -273875, -273741?\n\"Answer: b**3 + b**2 - 6*b - 274091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 - 2. Let q be 2\/(-2 + 5 + 5). Which is the third smallest value? (a) 2 (b) q (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.1, -1\/3, -11\/6, -1.7, 1?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t. Let h(q) = -14*q + 57. What is u(h(n))?\nAnswer: 28*n - 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 31. Let g = 27 - s. Solve -3*c - g = -d - 0*d, 0 = -5*c - 4*d - 40 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5216185350 to the nearest one million.\nAnswer: 5216000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2533 (base 6) in base 15?\nAnswer: 2c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 6, -2*l = -l - v + 1. Let d(r) = 2*r**3 + r - 2. List the prime factors of d(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (213*x + 2071*x**2 - 70*x - 2073*x**2 - 2*x - 2*x**2 + 2*x + (-5*x**2 + 5*x**2 - x**2)*(-2 + 0 + 4))*(-2 + 3 + 0).\nAnswer: -6*x**2 + 143*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 0.1, 57, -3.\nAnswer: -3, 0.1, 21, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 3 (c) 4569 (d) 6 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5))**27*(y*y**3)\/(y**(-1\/7)*y))**(-49) assuming y is positive.\nAnswer: y**(-3416\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -64. Let h = 101 + c. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 38034*i - 38039*i - 22, 4*y + 6*i + 28 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 7.\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**6\/180 - 3*h**5\/40 - h**4\/8 - h**3\/3 + 4*h**2. Let t(v) be the first derivative of a(v). Is t(7) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1506053972 and 791.\nAnswer: -1506053181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 4524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 252\/294*(-1)\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 252423254 to the nearest integer?\nAnswer: 15888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bb81 (base 13) to base 16.\nAnswer: -6613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62480149 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66132 by 22280.\nAnswer: -16533\/5570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*sqrt(5) + -2 + 3 + sqrt(500) + -1)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.09636 + -0.00364. Let t = 86 - 515\/6. Which is the second biggest value? (a) p (b) 5\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-272)\/(-12) + 7\/3 + -2. Solve 3 = j, -2*w + 0*j + c = 5*j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/3))**(-1\/2)*(m**(-8\/7)\/m)\/(((m**19*m)\/m)\/m) assuming m is positive.\nAnswer: m**(-409\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r - 1 + 1 + (3 - 5 + 1)*(-2*r - 193 + 193) to the form w*r + h and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -9*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jiqjrrjrjijrqiqqij. Give prob of picking 1 i and 2 j.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 307*y**3*z**3 + 9*y**3*z**2 + 569*y**3 + 2*y**2*z**2 - 58*y*z**3 + 2*y*z wrt z?\nAnswer: 1842*y**3 - 348*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -2130.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*l = 9*l + 49*l + 289 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2347470 (base 9) to base 5.\nAnswer: 311144023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.16 - 0.028. Let t = v - -0.168. Let h = 2.7 + 1.3. Which is the second smallest value? (a) t (b) h (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.7 (b) -26 (c) 0.14861 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3110 + 370088\/119. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122\/9 - 1396\/99. Let m = -29\/33 - p. Let s = -185\/132 + 19\/12. Which is the third smallest value? (a) s (b) 4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 202*g**3 + 55*g**3 + 0*g + 24*g**2 - 2 + 6*g - 26*g**2 - 8*g to k*g**3 + o + w*g**2 + r*g and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3661 divided by 110.\nAnswer: -3661\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 - -10000100001000?\nAnswer: 10000011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1790, -8, -51, -21 in decreasing order.\nAnswer: 1790, -1, -8, -21, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtio when four letters picked without replacement from {i: 6, q: 6, n: 1, o: 3, m: 1, t: 1}?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4101 and -0.00482.\nAnswer: -4101.00482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 3, -1, -5 in increasing order.\nAnswer: -70, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.5346642 minutes?\nAnswer: 32079852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m - 3*m + m)*(0 + 3 - 2) + 2 - 455*m + 451*m + 918 in the form o + u*m and give o.\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 123874, 124179, 124484, 124789, 125094?\n\"Answer: 305*a + 123569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-281)\/((-107904)\/(-14080))*(-6)\/(-11)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 23 + 5*h**2 + 3*h**2 + 2*h - 4*h**2 in the form u*h + k + m*h**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1020918 + 34978 = -20*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/21)*o)\/o)\/(o\/(o*o*o**7*o)))\/(o**(6\/17)*(o**(-1\/41)\/o)\/o) assuming o is positive.\nAnswer: o**(157592\/14637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifqkwikfwfwffkqkkkf. Give prob of picking 2 q.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 54*l - 52*l = -18, y = -5*l - 29 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-112)*7\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**4\/2 - 2601*z**3 - 10401*z**2\/2 - 2600*z = 0.\nAnswer: -5200, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -753 + 4?\nAnswer: -74a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x - 7*x = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 33*d**2 + 40*d**2 + 1 + 0 to the form b + r*d**2 + s*d and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -56, -230, -520, -926, -1448, -2086?\n\"Answer: -58*k**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 l, and 2 b when four letters picked without replacement from {b: 2, n: 1, l: 4, q: 2, y: 3}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 125 + -148.6. What is c rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 7.7. Let n = -0.3 - 0.7. Let p = -2621 - -2620.6. Which is the nearest to n? (a) p (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1128407 - -2318307. Round w to the nearest ten thousand.\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10323*g**2*q - g**2 + 88385924*g + 2389*q wrt q.\nAnswer: -10323*g**2 + 2389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2450350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 60*z + 890. Calculate the remainder when 143 is divided by r(-35).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28226 and 10264?\nAnswer: 112904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 4*i - 4. Calculate j(9).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.068 equal to -61.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 o, and 1 h when four letters picked without replacement from olhhoolvoh.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.84 + 1.868. Let p = 0.032 + y. What is the third smallest value in -2, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-100841)\/31028 + -2 + (-5)\/(-4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*q**3 + 25*q**3 - 22*q**3 - 1128 - 25*q**3 + 2*q to the form h*q + z*q**3 + b + y*q**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p + 5*p - 7*p - p**2 + 3 + 28*p**4 in the form r*p**4 + b*p**3 + m*p + h + g*p**2 and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6204499km in centimeters?\nAnswer: 62044.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388*o**2 - 21 + 6 - 53 + 786*o**2 - 397*o**2.\nAnswer: o**2 - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -66274 bigger than -66276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 - f**4 + 0*f**4)*(-8*f - f + f)*(0 + 2 + 1).\nAnswer: 48*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227157 is divided by 44?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (13 - (11 - 2)) - (-71 + -3 + 0)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 5*u - 1. Let a be 9 + -7 - 3*-1. Let m be n(a). Calculate the highest common divisor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*m - 2*m - 246, -3*o - 2*m + 234 = 0. Calculate the greatest common divisor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 6*h - 1. List the prime factors of x(-4).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230025 (base 6) in base 11?\nAnswer: -13689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54049, 108102, 162155?\nAnswer: 216208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttzttt. What is prob of sequence tt?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19234115 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10284*y**5 - 622*y**2 + 15*y wrt y?\nAnswer: 617040*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 - 4*i**5 + i**5 + i**5 + i**5 + 0*i**5 + (i + 3*i - 3*i)*(2 - 2 - i**4) - 12*i**5 - 7*i**5 + 12*i**5.\nAnswer: -8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 133769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.191578t?\nAnswer: 6191578000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -236 + 2128\/9. Let r be (-12)\/(-9)*(-7 + 1). Which is the nearest to r? (a) -2\/11 (b) m (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/43, 0.7, -3.\nAnswer: -3, 4\/43, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a + 1 - a - 6 + 3. Let x(f) = -f + 1. Let v(w) = -r(w) - x(w). Let n(h) = -10*h + 2. Calculate -5*n(l) + 12*v(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/((-4)\/2)*(-24508)\/(-116413)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -246249.\nAnswer: 2\/82083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-17)*a**(-1\/3))\/(a**(-10)\/a*(a\/(a\/a**(7\/6)))\/a))**(18\/13) assuming a is positive.\nAnswer: a**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-2 + 6)) + (-1 - -25).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2712 and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 116*a - 937 = 2*m - 355, 4*a - 9*a - 25 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 1:40 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 7:58 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 12) to base 6\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 730, 3981, 9400, 16987, 26742, 38665?\n\"Answer: 1084*h**2 - h - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*i - 0*i - c, 0 = 2*i + 14*c + 2*c - 22 + 28 + 46 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611257231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23229830.\nAnswer: 2, 5, 13, 178691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**3\/5 - 6652*x**2\/5 + 2755564*x\/5 + 8326668\/5 = 0.\nAnswer: -3, 833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqq. Give prob of sequence oq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2152.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(165)\/sqrt(5)*1)\/(sqrt(27) + sqrt(972)))**2.\nAnswer: -10*sqrt(11)\/21 + 11036\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-117)\/26 - (-2)\/(-4). Which is the nearest to 0.1? (a) 2\/13 (b) 1\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 13*m - 16*m - 211 = 0, -n + 4*m = -32. Factor -119*f - 17*f**2 + 5 + 5 + n*f + 82*f**2.\nAnswer: 5*(f - 1)*(13*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165654462 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 127379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/9 (b) 2715.8 (c) -0.05 (d) 0.6 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9814 + -6623. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 4*u**2 - 22*u - 6. Let t be w(-7). Put t, -30, 4 in descending order.\nAnswer: 4, t, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -45*c**2 + 8*c - 49. Let h(r) = -44*r**2 + 6*r - 50. Let t(i) = 4*f(i) - 5*h(i). What is the derivative of t(z) wrt z?\nAnswer: 80*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmm when three letters picked without replacement from {r: 2, m: 9}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 5*r**3 - 8*r**3 + 34 - 9*r**3.\nAnswer: -12*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30635026 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2171\/524 - 14\/131. Let x = 49\/9 - 857\/126. Find the common denominator of x and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.76 and -14661.\nAnswer: -11142.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 45 = 5*p, 8*p - 5*p - 3 = -5*y. Let -6*h**4 + h**5 + p*h + 118590*h**2 - 4*h**3 - 3*h**5 + 2 - 118586*h**2 = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -261, -391, -521?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/18 and -49\/9694?\nAnswer: 87246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/11954 and -48\/7645.\nAnswer: 657470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -3 (c) 2 (d) -18 (e) -0.1 (f) -58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbhlllwc. Give prob of sequence hl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14993 - -15005. Let i(v) be the second derivative of -v**3\/3 - 7*v**2\/2 - 12*v. Determine i(s).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 334 + 10046*l**2 - 991 + 330 + 327 in the form k*l + v + i*l**2 and give i.\nAnswer: 10046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 11*i**2 - 101*i + 1097. Calculate b(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from ycvna.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -993*d = -6809 + 73340 for d.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z**3 + 80 - 35*z**2 - 40*z - z**3 - 4*z**3 + 0*z**2.\nAnswer: -5*(z - 1)*(z + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 3472?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/q**5)*q)\/(q*q**(1\/43)\/q)*((q\/q**(6\/13))\/q*q*q)\/((q**30*q)\/q) assuming q is positive.\nAnswer: q**(-13128\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 284989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437*h + 203*h + 218*h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 18. Let p be r(-13). Let c = p + -6. Sort 14, c, 5, -4 in increasing order.\nAnswer: -4, c, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = -5*f. Solve 0*h + 4*h - 3*b + 8 = f, 2*h + 4 = b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + j + 8 = 0, 3*j = 150*d - 147*d + 21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by 4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + h + 370*h**4 - 2*h**2 + 4*h**3 + 4*h**2 - 750*h**4 + 374*h**4 as m*h**3 + a + t*h**2 + f*h + i*h**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -524088 + 524088 - 2*f**3 + 3*f**3 + 32*f**3.\nAnswer: 33*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r + 6. Let v be x(-5). Is -6 - v - 393\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 4:23 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 2\/7, 4, -48\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzzi when four letters picked without replacement from yyzzzztztzity?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 14. Let g(b) = h*b - 74 + 74. Let u(q) be the second derivative of q**3\/6 + q. What is g(u(c))?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -17.5?\nAnswer: -17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -221001001001?\nAnswer: 221001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/9 - 3412*t\/9 + 3410\/9.\nAnswer: 2*(t - 1705)*(t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhf when three letters picked without replacement from eeeyeeebebhfcbeee.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4169 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.68 times -0.51?\nAnswer: 35.5368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 179*q**2 - 24*q - 150. Let d(u) = -u**2 + 4*u + 1. Let v(p) = 6*d(p) + x(p). Find the first derivative of v(o) wrt o.\nAnswer: 346*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30674 = 1007*k - 1633*k for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1290, 1210, 1116, 1002, 862, 690, 480?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 842564\/962 + 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 6\/25 (b) -3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -5*c**3\/12 - 15*c**2\/4 - 25*c\/4 - 4. What is t in b(t) = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -47\/5, 6, -3, 87, 0 in decreasing order.\nAnswer: 87, 6, 0, -3, -47\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1 - 296*j + 297*j + 3 - 4. Let m(c) = 2268*c. What is m(b(q))?\nAnswer: 2268*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6064, 0, -16 in decreasing order.\nAnswer: 6064, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 8312*l + 164640.\nAnswer: 4*(l - 2058)*(l - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + -2.2. Let z = 10 + v. Let f(o) = o**3 + 7*o**2 - 8*o + 1. Let r be f(-8). What is the nearest to r in 0, z, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-11))\/1 - (-12)\/66. Let z(g) = -20*g**2 + 2*g - 2. Determine z(q).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, a: 1, l: 1, d: 2, m: 2, j: 4}. What is prob of sequence mljm?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-86))\/(120\/180))\/(36\/96).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*k - 394045 = 0, -17*k = 3*t - 16*k - 1182039. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-3*w + 2*w + 0*w) + 1 - w - 1 + 5*w - 3*w - 4*w + 0*w - 3*w + 4*w + 4*w + 2*w + w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*r**3*x + 122*r**3 - x**3 - 18*x**2 wrt x?\nAnswer: 2*r**3 - 3*x**2 - 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + ((sqrt(272) - (6*(-3 + sqrt(272)) + sqrt(272)))**2 + (-3 + 2 + sqrt(272))**2 + sqrt(272))*-2.\nAnswer: -20785 + 1736*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 - ((-8)\/2 + (-444 - -449))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -10?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48151536 - -1?\nAnswer: 48151537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244 + 229 = -2*a + 5*p, 15 = a - 5*p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5\/7 (b) -0.5 (c) -0.9 (d) 0.3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*f**2 - b**2*f*j - 26875*b**2*j**2 - 1168*b*f**2 + 2*b*j + 403*f**2*j**2 - 250*f**2 + 2*j wrt j.\nAnswer: -53750*b**2 + 806*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68050?\nAnswer: 2, 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -20 + 71 - (-15 - -38).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuucccuucucccccccc. What is prob of picking 2 c and 1 u?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*z**3 + 0*z - 3*z + 90*z**3 + 3*z.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 65*r**2 - 69*r + 197. Let m be v(66). Let j(h) = 3*h**2 + 1. Calculate j(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x - 5*x**2 + 0*x - x**3 + 3 + 3*x. Let y be -3*(-2 - 0) + -2. Suppose 2*d - 12 = y*d. Determine t(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452237 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 smaller than 20.96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -1.25?\nAnswer: -6.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 421675 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*u - 140*u**2 - 45*u + 21*u)*(3 + 5*u**2 - 6 - 3*u**2).\nAnswer: -280*u**4 + 420*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-3)*27\/9. Find the common denominator of 0 + b + (-82)\/7 and 37\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -10*c**4\/3 - 21262*c**3\/3 - 152582*c**2\/3 - 29666*c\/3 = 0.\nAnswer: -2119, -7, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -1.4 in decreasing order.\nAnswer: 0, -1, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.07 (b) 0.1 (c) 0.4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + m - 3 + 0*m.\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 244 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/160 - (-3)\/35*-2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 g when two letters picked without replacement from ggfljfpjjjgj.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 11*w. Let g be u(1). Let o(c) be the first derivative of 4*c**2 - 13*c + 13. Let p be o(3). Calculate the greatest common divisor of g and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**8\/28 + s**4\/4 + 2*s. What is the third derivative of t(c) wrt c?\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 7. Let i be w(-5). Suppose -7*g + i = -4*g. Solve 0 = 2*h - 10, g*v - 4*h + 5 + 31 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + -0.8. Let g = 21 - 19. Suppose 3*s + 0*s - 15 = -4*y, g*s + y = 10. Which is the second smallest value? (a) s (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4)*(-2 + 2 - 4)*(2*d + 0*d - d).\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 24\/17, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 555 + 20. Let w = -570 + o. Solve -3*y - 5*r + 29 = 0, -4*y + 3*y = -2*r + w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -32990*x**2. Let d(f) = -2379*f. Calculate t(d(c)).\nAnswer: -186711556590*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5846227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 41*h**2 - 91*h - 7. Give a(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*w + 52*w + 2*w**4 - 16*w - 2 - 20*w - 4*w**2 - 3*w**3 as c*w**2 + v*w + s + m*w**3 + y*w**4 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1372 - -9606\/7. Let y(g) = g + 2. Let w be y(-3). Which is bigger: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10770.\nAnswer: 2, 3, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-94 - 121 - 20)*(-r + 6*r - 3*r) to the form t + n*r and give n.\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 1:07 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -737568, -1475134, -2212698, -2950260, -3687820, -4425378, -5162934?\n\"Answer: o**2 - 737569*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 352 + -350. Let t(s) = 8*s**n - 283 + 283. Let p(h) = 6*h. What is p(t(o))?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - a - 2. Let i be s(6). Suppose -i = -d - d. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-3564)*(-62)\/155.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60\/2*(3 - 2) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6297724?\nAnswer: 2, 1574431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 77132, 154271, 231410, 308549?\n\"Answer: 77139*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001317549 to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 + 0 + 0 + ((1 - 2 - 1)*(-3 - 4 + 5) + 0 - 4 + 3)*(0*o**2 - 4*o**2 + 5*o**2) in the form k + q*o + z*o**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-22)\/26 - -1) + 4\/(-26). Suppose 118*c - 107*c + 5049 = l. Is c <= -458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8794 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 102 - 18 = 0. Suppose -l = -5*c + 120, 3*l - 39 - 57 = -4*c. Suppose -5*g = -q - c. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7292850 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*l - 262 + 67 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 8*g - 80. Suppose 4*b + b = g. Suppose -265 = -v - b*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-30) + (-501)\/45. Let i(k) = -6*k + 3. Let a(t) = -2*t + 1. Give p*a(y) + 4*i(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 8:46 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 24193904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*y = 1097 + 60. Let i(o) = -9*o**2 + 17*o + 15. Let h(c) = 4*c**2 - 8*c - 7. Let s(g) = -3*g. Let b be s(1). Let t = b + 9. Calculate t*i(f) + y*h(f).\nAnswer: -2*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t. Let v(b) = 0 + 4 + 10*b - 4. Calculate n(v(y)).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 16899*d**2 - 1858894*d + 443. Calculate h(110).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1905 (b) -4 (c) 3\/46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 283 = r, 2*l + 5*r = 80 + 24. What is the remainder when 1321 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/3 (b) -1 (c) -4 (d) -8.2 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -10 + (11 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45\/2 of a micrometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*j + 8*j**5 - 4*j + 0*j wrt j?\nAnswer: 160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448085.\nAnswer: 5, 11, 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17611 = 480*m - 2251 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 10. Let g be k(7). Calculate the highest common divisor of 68 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2632103.\nAnswer: 673, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3597*s**3 - 13*s**2 + 10*s + 13. Let h(i) = -18884*i**3 + 68*i**2 - 52*i - 68. Determine -13*h(z) - 68*x(z).\nAnswer: 896*z**3 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -116*y**2 + 116*y**2 + 25*y**3 + (-76*y + 127 - 127)*(0*y**2 + 3*y**2 + 5*y**2).\nAnswer: -583*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k, 4*q = -k + 5*k + 9560. Let u be (52\/(-65))\/((-4)\/q). Let p = u + -303. Is 25 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -195*b**2 - 2*b - 194 wrt b?\nAnswer: -390*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14865084 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m + 6. Let o = 512 - 517. Give d(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 560*l**3 - 219*l**3 - 249*l**3.\nAnswer: 92*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4059, -4035, -4011, -3987, -3963, -3939?\nAnswer: -3915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**5 + h**3 + h - 1. Let a(m) = 4*m**5 + 4*m**3 + 6*m - 4. Let v(l) = -a(l) + 4*k(l). Find the second derivative of v(t) wrt t.\nAnswer: -160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 0*k**3 + 0*k + 0*k**6 + 17*k**2 - 1\/2*k**5 + 0 + 0*k**4 - 29\/210*k**7. Find the third derivative of y(s) wrt s.\nAnswer: -696*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*y**3 + 1 + 34*y**3 + 48*y**3 - 65*y**3 + (-y + 3*y - 3*y)*(-y**2 - 3*y**2 - 2*y**2).\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 64?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 138.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**3 - 1600*z**2 + 126385*z + 259210 = 0.\nAnswer: -2, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 59840*v**2 - 5*v - 5*v + 59844*v**2.\nAnswer: 4*v**2 - 14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201221 - 11?\nAnswer: 201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-342))\/(-23 - 438\/(-19))*1\/343\nAnswer: -2\/343","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -44*w + 43\/2*w**2 + 33. Differentiate t(h) wrt h.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*x - 0*x - 17, -2 = 3*x - 2*j. What is the units digit of x\/(-2)*242\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 5. Let k be l(3). Find the second derivative of -k*h - 2*h**2 + 2*h**2 - 3*h**2 + 3*h wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2107952636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1462bc + -6?\nAnswer: -1462c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 133835, 535327, 1204479, 2141291, 3345763, 4817895?\n\"Answer: 133830*g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 + 2\/(-6). Let w(r) = -192*r + 8883. What is the remainder when w(46) is divided by 6 + 15 + (-3 - p)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-42)\/(-27)*((-572)\/22)\/(-26)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 12*u = -8*u - 852, 6 = 2*u. What is the highest common factor of p and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/2 and ((-2)\/(-6698))\/((-168)\/8400).\nAnswer: 6698","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 6 - 5*f - 3*f**4 - 1 in the form k*f + d*f**4 + j + w*f**3 + z*f**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -106*l - 96*l - 107*l + 403*l - 106*l. Let u(x) = 2*x**2 + 256. Determine u(s(g)).\nAnswer: 288*g**2 + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 - 7*o**3 + 17*o**3 - 8*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**6\/1080 - l**5\/180 - l**4\/72 - l**3\/2 - 13*l**2. Let k(j) be the first derivative of z(j). Factor k(m).\nAnswer: -(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*h - 43*h + 3576 = 0. Let i = -438 - h. Suppose 0 = -r + 4*p + 4, -4*r + 0*r + 5*p = -5. Solve r = 5*b, -3*n - 5*b + i = -3*b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28146 is divided by 2303.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = 4*i - 36*s, -i + 5*s - 4515 = -4537 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*k + 3556658 = 62248858. Round k to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208453886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 702782255.\nAnswer: 5, 7, 37, 77527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 8*j + 122 - 83, 4*m + 2*j = 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -33. Let o(t) = -3*t - 2. Let k(j) = 2*j + 1. Give q*o(n) - 4*k(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44165369387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6919079 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (2 + (-1 - -7) + -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(2) + sqrt(18) + sqrt(2)))\/(sqrt(49)\/(sqrt(7) - sqrt(7)*-1)).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566 + 99 = 7*z. Let m = 74 - z. Let v be ((-43784970)\/(-35))\/(-3) - (-6)\/m. Round v to the nearest ten thousand.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -882, -883, -884?\n\"Answer: -s - 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 1 + 23 = -12*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 0, 5, 23174, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**4*z**(-5)*z*z\/z**6*z**(-2\/3) assuming z is positive.\nAnswer: z**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 289975 - 1454919\/5. Let w = 1028 + n. Let 0*z - 16\/5*z**2 - 108\/5*z**4 + 0 + w*z**3 = 0. Calculate z.\nAnswer: 0, 2\/9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -50\/7 in 0.072, -2, -3\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 55, 1, -5.\nAnswer: -7, -5, 1, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 101\/144867 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 17) + -5 + 1 + 665 + -696.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 q when two letters picked without replacement from cxrqm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -5 (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -45 - 36*u + 3 + 8*u - 16*u**2 + u**3 + 11*u + 4*u. Let h = 28 + -11. Let z be a(h). What is the greatest common factor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9156938?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 1. Let g be i(6). Let x = 0 - 2. Let o be g\/(-1) + x + 0. Solve -2*c + 9 = -w, -2*c + o*c - 9 = 5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 55 = -10*y. Let z(i) = -6*i - 2. What is z(y)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 2852*t - 72 = -2850*t, -14*y - 2*t - 72 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 19803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u + 12 = 0, 0 = 5*m + 2*u - 156. Let c be (m\/75)\/((-2)\/(-40)). Let o(r) = 2*r - 11. Determine o(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 35 = -r, -17 = -r - 5*m + m. Let w be ((-30)\/r)\/(2\/(-5)). Let q(k) = -9 + 9 - w*k. Let a(b) = -2*b. Give q(a(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, y: 2, m: 1, z: 1}. What is prob of picking 1 z and 2 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4645541 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -315, -1313, -2959, -5253?\n\"Answer: -324*l**2 - 26*l + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -43, 0.6, 2\/201?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2347 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-4 - -1)) + -106 + 100?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 c, and 2 n when four letters picked without replacement from nkcfjfq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*g = -189*g + 72 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25051847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392 - 556 = 340*w - 6113 - 11391 for w.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6\/11)\/(b**(-22)\/b*b)*((b**17*b)\/b*b)\/(b\/b**(-35)) assuming b is positive.\nAnswer: b**(38\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 614 - 663. What is the closest to -2 in w, 0, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = 25*b - 4*b - 39 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 970 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10010100100010010 (base 2) to base 14\nAnswer: -1da02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20642252 to the power of 1\/2, to the nearest integer?\nAnswer: 4543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22687 + 38814. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 2:12 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 45\/2 of a centimeter?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 12 = 0, r + 7 = 4*d - 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126 - 122. Let h(y) = -4*y + 2*y + 10*y**2 - 3 + 0. Let p(b) = 11*b**2 - 3*b - 4. Let u(t) = x*h(t) - 3*p(t). Find the second derivative of u(a) wrt a.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuvvvvuvuvv. Give prob of picking 2 u and 1 v.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6174 to the nearest one hundred.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 - (-2 + 48\/(-6)). Let n = 9 + 20. What is the second derivative of 13*h - n*h**a - 16*h + 8*h wrt h?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -2\/11, -138194, 5, 2\/7 in ascending order.\nAnswer: -138194, -2\/11, 2\/21, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6714031 + -2880323246\/429. Let l = -120\/13 - u. Let z = 25\/264 - l. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -61. Suppose 0 = 2*y - z*t - 29, 5*y + 2*t = 8*y - 38. Calculate the greatest common divisor of y and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182483*o - 53175*o + 99425*o.\nAnswer: 228733*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3973*l - 40 = -8*d + 3981*l, 3*d = 5*l + 9 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189) - -1*sqrt(189) - ((-4*sqrt(231))\/sqrt(11) + sqrt(21)))\/((-1*(sqrt(12) + sqrt(12)*1) + sqrt(12))\/(-2*1*sqrt(4))).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.035674148 + -0.035674398. Let g = i - 13. What is g rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) + 75\/9 + -4. Suppose 4*z + r*f - 30 = -2, 30 = 5*z + 5*f. Solve 3*l + 0*b - b = 2, -z*b - 4 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*w - 240 = 178*w + 174*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.33464ml in litres?\nAnswer: 0.00233464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 65.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/306301 and 53\/201.\nAnswer: 61566501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 124011920 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmydzty. Give prob of picking 2 y and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*n**3 + 276*n**2 - 3313*n + 7266 = 0. What is n?\nAnswer: -346\/7, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 104283 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/3)\/((-4)\/54). Let d be (-101109)\/(-27) + (-2)\/p. Suppose -5*l - 570 = -d. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282740 > 282841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55715 is divided by 18569.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390312262.\nAnswer: 2, 433, 450707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-23))**(-2\/57)\/(h**(-2\/85)*h\/h**37) assuming h is positive.\nAnswer: h**(178444\/4845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 5*j**4\/6 - j**2\/2 + j. Let g be r(1). Let v be (-8)\/10 + (-27)\/(-15). Put g, 3, v in increasing order.\nAnswer: v, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8279.303km to nanometers.\nAnswer: 8279303000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3232468125?\nAnswer: 3, 5, 509, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -670*t**3 + 2*t**2 + 3*t + 1. Let o be i(-1). Suppose -4*u + o = u. Suppose 2*v - 76 = u. Calculate the greatest common factor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 3, -3, -3314, -9, -4 in descending order.\nAnswer: 3, -1, -3, -4, -5, -9, -3314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*z**5 + 11*z**4 - 279*z**3 - 4*z**2 + 5468*z + 5.\nAnswer: 300*z**2 + 264*z - 1674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 233.311104 rounded to two dps?\nAnswer: 233.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53907 and 274533?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275569 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*b + 9, 2*q = -3*b - 0 + 5. Suppose 10 = -k + 3*n, 5*k - 35 = -q*n + 2*n. Solve -k + o**3 + 5 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l**3 + 13*l**3 - 8*l**3.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*y = 128 + 154, 5*s + 4*y - 704 = 0. Suppose 6*m + 4*r + 41 = 13*m, -39 = -5*m - 2*r. Calculate the highest common factor of m and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36)*-2 - sqrt(36))\/sqrt(3))\/sqrt(4))**2 + ((sqrt(3) - (sqrt(3) + -1))**2*5 - ((sqrt(36)*2)\/sqrt(12) - sqrt(3))).\nAnswer: -sqrt(3) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**4\/24 + m**3 - m**2. Let a be k(-3). Suppose 0*w = -3*w - a. Sort w, -5, 1.\nAnswer: -5, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, 0.3, 53 in ascending order.\nAnswer: -7, 0.3, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11211 (base 3) to base 2\nAnswer: -10000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -17. Is s greater than or equal to -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1704039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.706 - 0.70601726. Round t to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 254587 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + y**2 - 8. Suppose 3*u - 5 = 5*r + 8*u, -5*r + 4 = 2*u. Suppose 0 = 5*k - 2 + r. Determine z(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 2. Let s(j) = 7*j + 4. Let p(b) = 5*a(b) + 2*s(b). Let f be p(-6). Suppose o**2 + 0*o - 4*o**2 + o**2 - f*o = 0. Calculate o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18460, -73834, -166118, -295306, -461392?\nAnswer: -664370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -9. Suppose -o - 1094 + 4465 = -4*b, -2*b = 3*o + 1675. Let z be b\/h - 2\/(-7). Round z to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71916 - 71832 = -4*w for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/164 and 2\/41?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**3 + 35*o**2 - 11. Let r(g) = g**3 + 9*g**2 - 3. Let k(w) = 6*m(w) - 23*r(w). Let z be 3\/2*-1*2. Let u = 0 + z. Determine k(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4) + -12 + 4 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 562632707?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/4)\/g**4*g**(-3\/5)\/g*g*g\/g**(2\/5) assuming g is positive.\nAnswer: g**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1542 + 1572. Calculate the remainder when 99 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-1)*3\/(-6). What is the units digit of (32 - (3 - x))*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -2\/17317 (c) 194 (d) 1\/4 (e) 3 (f) -0.4 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -97*g**5\/20 + g**3\/6 - 147*g**2\/2 - g + 18. Find the first derivative of c(s) wrt s.\nAnswer: -291*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -1 + 2 - -27. Suppose 7 - z = -2*b - 4*j, -2*j - 19 = -5*b. Suppose -b*p + 71 = -24. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 465.26 to the nearest integer.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111110100 - -111100101100?\nAnswer: 10100100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-408721)\/(-8701) - (-68)\/9163*(-35)\/(-10).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8) + ((-484)\/48)\/(-11)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*o + 15*o + 88. Suppose o = -4*j + 34. Solve -j*g + 10 = -8*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2246334, -8985312, -20216930, -35941188?\nAnswer: -56158086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l**2 + 3*l**2 + 0*l**2)*(610*l**2 - 1381*l**2 + 643*l**2) to z*l**2 + r*l + y + n*l**4 + v*l**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102884 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -35.6. What is the nearest to 0 in h, 1\/5, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-28)*6)\/((-6)\/8). Suppose 3*u + 5*s = 0, 4*u - 5*s - 30 = u. What is the biggest value in 2.3, u, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112109 is divided by 473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from ooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/189)\/((-2)\/7)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11286 divided by 2806?\nAnswer: 5643\/1403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5. Suppose -2*a = -47 + 15. Let l = a + g. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1312 from 0.3.\nAnswer: -1311.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107719 + 18001. Suppose -l + 2*b - b = -25144, -5*l + d = -3*b. Let c = -3067613\/122 + l. Find the common denominator of c and -59\/14.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 775.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11 - 3 + 11*b + 1. Let p(r) = 5*r - 6. Let n(t) = -2*t - 7 + 3 - 5*t**2 + 4*t + 0*t**2 + t**3. Let f be n(5). Calculate f*m(y) - 13*p(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 148 - 79. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4817 in 0.5, 2\/13, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/810 and 137\/990.\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 + 2*v**5 - 2*v**2 + (-4*v - v**4 + 4*v + (2*v**3 - 6*v**3 + 2*v**3)*(0 + v + 0) + 5*v**4 - 2*v**4 - 2*v**4)*(12*v - 19*v + 16*v).\nAnswer: -16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from {e: 1, x: 8, u: 5, t: 5}.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.3, -0.01, -231, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 - 0.5. Suppose 0 = -2*g + 334 - 326. Which is smaller: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1619, -3251, -4885, -6521, -8159, -9799, -11441?\nAnswer: -13085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 56, 72, 110, 176, 276, 416?\nAnswer: 602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*w - 2284, -8*w = c + 2*c - 6099. What is the lowest common multiple of w and 42?\nAnswer: 5334","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 30 = 3*c, 2*c + 5*y - 428 = -466 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-6))\/((-1)\/(-108)*6). Suppose -w*s = 167 - 3101. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 17\/24*s**4 + 9\/20*s**5 + 0*s + 0 + 0*s**3 + 29*s**2. Find the second derivative of x(c) wrt c.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 385 + 17*c - 388 - 4*c to the form g + w*c and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**3\/23 + 5854946*h**2\/23 - 4285052010336*h\/23 + 4285046155392\/23 = 0.\nAnswer: 1, 1463736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9762 and 201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135*l**4 + 9*l**3 - 2869*l**2 - l + 24 wrt l.\nAnswer: 3240*l + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i - 3. Let v be f(11). Let a = 73 + -76. Let b be (-1 - (1 + a))*114. Calculate the greatest common divisor of v and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6727 + -1054163.\nAnswer: -1047436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15384440, 30768890, 46153344, 61537802?\n\"Answer: 2*i**2 + 15384444*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20475 divided by 25?\nAnswer: -819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**4 - 375*p**3 + 433*p**3 + p**4 - p**4 + p - p + (0 + 0 + p**3)*(-2*p - p + p))*(4 - 4 - 8*p).\nAnswer: 48*p**5 - 464*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 9\/29, 2\/17, -4\/3, 5, -2\/15, 0.03, -1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**6\/40 - 281*o**5\/80 + 31*o**4\/8 + o + 1346. Factor s(g).\nAnswer: g**2*(g - 93)*(3*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78320166?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 2*h - 4*h)*(-4*h + 5*h - 2*h)*(-10*h - 54 + 54).\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 0*j - j - 3*j - j + 2*j. Let v(i) = -10*i. What is g(v(q))?\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkxk when four letters picked without replacement from {x: 2, k: 16}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/10)\/((-1)\/4). Let i = 32 - 14. Let x be -2*(-1)\/i*-2. Which is bigger: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 - 23*q**3 + 0*q + 0*q + 24*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 3*w + 12, -8*w + 3*w = 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 15) to base 3.\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 1. Suppose -j = p + 95, -2*p = 1 - 11. Let d = j - -100. Sort d, 3, l in decreasing order.\nAnswer: 3, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 52. Let p = -9 - -6. Let x be (-5)\/p - (-2 - -3). Which is the closest to 0.2? (a) x (b) -0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100522 * 1.6.\nAnswer: 160835.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7 + 0 + 6 - 4 - 2*t. Let g(q) = -2*q - 4. Suppose -8*l + 3*l + 25 = 0. Let d be (-4 - 1)*4\/l. What is d*w(u) + 5*g(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*k*s - 147*k - 831*s wrt k.\nAnswer: 5*s - 147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i**3 + 16*i**3 + 12*i**3 - 2*i**2 + 25*i - 25*i.\nAnswer: 10*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**5 - 46800*z**4 - 109838860*z**3 - 1528538230*z**2 + 109838865*z + 1528585030 = 0. Calculate z.\nAnswer: -4673, -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -193, -332, -493, -676?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 4240.\nAnswer: 12720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/318981 and -45\/106327?\nAnswer: 318981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.31 * -3709248\nAnswer: 1149866.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 58377.55 millilitres?\nAnswer: 58.37755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, 3\/1369, -0.1, -1, 2, 0.05, 0.3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01473063 to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3, -2, 24, 54, -210 in decreasing order.\nAnswer: 54, 24, 3, -2, -10, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*(sqrt(57)\/(-1*sqrt(3)) + (sqrt(19) - (sqrt(114) - (sqrt(114) - sqrt(114)*3))\/sqrt(6)) + -5 + 2))**2.\nAnswer: 1800*sqrt(19) + 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -3, -167?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 + 0.5. Let d = -0.73 + -0.07. Let l = d - w. Sort l, -4, 1\/6.\nAnswer: -4, 1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 41. Is 3 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5182580653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -225 - -224.8. Sort -0.4, -5\/2, g in increasing order.\nAnswer: -5\/2, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/5 + 11\/15. Let w = 0.88 + -0.8. Let a = w - 1.08. Sort c, a, 1\/5 in ascending order.\nAnswer: a, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 40, 54, 74, 100, 132, 170, 214?\n\"Answer: 3*p**2 + 5*p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8880)\/(-4070))\/(2\/(-22)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 27 = -3*c, 27 = -3*c + 96*b - 98*b. Let y(m) = -m**3 - 7*m**2 + 11*m - 14. What is y(c)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/55)\/((-2958)\/(-580))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l - q + 462, -3*l = 5*q - 462. Suppose 6*u - 9*u = -12, 0 = -y + 2*u + l. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((26\/(-5))\/((-4)\/10))\/1. What is the highest common divisor of 39 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297 (base 11) to base 8.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 490784*b + 90439680.\nAnswer: -4*(b - 122880)*(b + 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 10:35 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 3*h**2 + 2*h + 6. Let m be g(-4). Let b be 10\/6*m\/(-5). Solve 0 = v - x + 2*x, -2*v + x = b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2381576*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*r - 153, -2*h = -3*r + h + 135. Suppose -315 = -5*g - 15. Let i = g - r. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**4\/2 + i**3\/3 - i + 2. Let v be b(1). Suppose -f - v*f = -24. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.18, -0.3, 5, -4, -1 in increasing order.\nAnswer: -4, -1, -0.3, -0.18, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 24\/47, 2, -2\/3, 14?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 10*t**2 + 13*t + 15. Let v(d) = -d**2 + 7*d + 133. Let a be v(16). Determine i(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*x + 896, -d + 5*x = 9*x - 192. Calculate the smallest common multiple of d and 148.\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-12)\/306)\/((576\/(-18))\/(-96)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 399984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1365 and 43\/1050.\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*v - 10. Let x be v + 0 + -1 + 1. Let z = 6 - x. What is the smallest value in 3\/8, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 4.7. Let i = h - -25.5. Let f = 21 - i. What is the closest to f in 0.4, -3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*c + 27*c - 4*c - c - 3*c + 3*c + 2*c - 5*c + 2*c + (-c - 2*c + 5*c)*(0 + 0 - 1) + 3*c - 3*c - 2*c + 1 - c - 1 + 7*c - 3*c - 7*c.\nAnswer: 32*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/120)\/((-4)\/24 + (8 - 8))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4 - 26*x**3 + 86*x**2 - 30*x - 144 = 0?\nAnswer: -1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.782691 days in nanoseconds?\nAnswer: 586024502400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -187*m - 3541 + 10834 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -8. Let q be (-76)\/(-14) + (-16)\/r. Differentiate 4 - 7*h - 4 + q with respect to h.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -41*a**3 + 8*a**2 - 17*a + 18. Calculate k(3).\nAnswer: -1068","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 13 = 23. Let b(m) = m**2 + 4*m - 9. Let f be b(a). Suppose 45 = x - 0*r + f*r, 0 = 5*r - 20. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4) + 2)*2. Suppose 5*o - 4*s = 58, -8*s + 43 = 2*o - u*s. Let d be (18\/12)\/((-4)\/(-8)). Solve 1 = d*k - o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + -7 + 34 + -25?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 343?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 2*d**3\/21 + 48*d**2 - 674*d\/7 - 3561. Factor s(i).\nAnswer: 2*(i - 1)*(i + 337)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 209754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -144 - 6 - 3\/1. Let i be (3\/c)\/((-4)\/24). Put 0.3, i, -4 in decreasing order.\nAnswer: 0.3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 56*x**2 - x + 6. Let p be w(3). Suppose 0 = 5*t + 3*k - p, 2*t + 4*k - 149 = 65. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 3*v - 125. Let c(x) = 4*x - 124. Let d(p) = -3*b(p) + 2*c(p). What is the derivative of d(m) wrt m?\nAnswer: -6*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001077 rounded to 7 decimal places?\nAnswer: -0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 2*o + 4, -2648*o + 2652*o - 2*n + 7 = n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, 65078, -0.4, 9\/4, -5, -1\/11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**18\/t**(4\/11)*t**(-8\/5)*t**(-1\/12))**2 assuming t is positive.\nAnswer: t**(10529\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 at least as big as 1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l*l*l\/l**(2\/45))\/l*l)\/l**(-26) assuming l is positive.\nAnswer: l**(1393\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -7 + 1 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1497002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 248344238 a multiple of 2671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*x**3 - 393*x**3 + 786*x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 33*n + 161. Calculate the remainder when v(-31) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-18)*3\/4. Let r be (142\/(-852))\/((-40)\/(-42) + 4\/(-14)). Let a be 2\/4*9\/(-18). What is the closest to r in a, -3, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(588) - sqrt(12)) + (5*sqrt(5)*2 - 1*sqrt(5)*-1))**2.\nAnswer: 5780\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8580 and 440?\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6069*x**2 - 60663*x - 54. Determine w(-10).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92932473.\nAnswer: 3, 30977491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -25*(-2*1)\/(-2). Suppose 2*c - 5*n - 34 + 11 = 0, 5*c = 2*n + 89. Let i = c - p. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 621*l + 248. Let s(z) = 619*z + 241. Let r(m) = 4*k(m) - 3*s(m). What is the first derivative of r(b) wrt b?\nAnswer: 627","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s + 4. Let r be o(9). Let z = r + 18. Suppose 0*v - 84 = -z*v - 4*c, -4*c = 12. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14620000 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.87 and 0.389.\nAnswer: -0.33843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -105303.6 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.77 * -46451.\nAnswer: 82218.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.8 (b) -10885 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((4 - 3) + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -v + 3. Let r be -8 + v - 14\/(-2). Let x(g) = -r + 2*g + 6 - g - 5*g**2. Determine x(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -25*b**2 - 3*b - 2 + 3*b. Let s(p) = 3*p**2. Let n(g) = -24*s(g) - 3*z(g). Let k(f) = -f**2 - 3. Calculate 7*k(j) + 3*n(j).\nAnswer: 2*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 11) to base 3\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2 = 2*s - 0*s, -5*s + 4*g + 2 = 0. Suppose 0 = -c - s*c + 9. Determine v, given that 0*v**2 + 0 + 1\/3*v**c - 1\/3*v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*i - u = 194*i, 5 = 5*u. Let v(x) = -3*x**2 - x - 3. Let o(p) = p - 1. Give i*o(m) - v(m).\nAnswer: 3*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 5:29 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**3 - 6804*y**2 + 40311*y + 916110 = 0.\nAnswer: -9, 15, 2262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 4 = 4*m - 0, -4*b = -4*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*k - 3. Does 5 divide (k + 3)\/2*20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50 * -9625.\nAnswer: -481250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1236227 and 4071.\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1083885053 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4))**(-2\/89)\/((r*r\/r**0)\/r**(-1\/3))*(r**1)**(-33)*((((r\/(r**4*r*r))\/r)\/r)\/r)\/(r\/(r\/(r**(3\/7)*r))) assuming r is positive.\nAnswer: r**(-167299\/3738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001121112 + 11?\nAnswer: -1001121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 267666 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 373073, 746149, 1119225, 1492301?\nAnswer: 1865377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4442 divided by -4?\nAnswer: -2221\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2443 divided by 39?\nAnswer: -2443\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 10:27 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10443853886 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 57 (b) -22\/1303 (c) 3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 951532.9 centimeters to millimeters.\nAnswer: 9515329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (200*q**3 - 376*q**3 - 1025*q**3)*(3 - 6 + 9) in the form o*q + x*q**2 + h + m*q**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-7))\/(8\/(1 + -169)). Calculate the highest common factor of 432 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133 * -1080.71.\nAnswer: 143734.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 2, p: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665037.\nAnswer: 3, 24631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 17*l**2 - l - 6. Let m be v(6). Round m to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(14\/5)*((j\/(j**(-35)*j)*j)\/j*j)\/j*j**(3\/19)*j*j**11 assuming j is positive.\nAnswer: j**(4746\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32488806 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 - -147. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 20*p**4 + 1382*p**3 + 13098*p**2 + 12896*p + 1160 = 0.\nAnswer: -58, -10, -1, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205877 = -4982*h - 1004*h - 353419 + 2598 for h.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 9725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -203 + 202.9806. What is a rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -483 = -17*g + 1676. Suppose 112*z - g*z = -1050. Solve z*x = 67*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpp when three letters picked without replacement from prjjzwjjwpwrwwjjjwwj?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000377799062 rounded to seven decimal places?\nAnswer: 0.0000378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*v - 5. Suppose v*o - 20*o = -5043824. Let k = o + -2380478. What is k rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11264*x - 5121 wrt x.\nAnswer: -11264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -1. Let f be -2*2\/(-6)*3. What is the second biggest value in f, h, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 738073.5ml?\nAnswer: 738.0735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 8*c = 218. Let w = c + 23. Suppose -5*y = -w - 88. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2 - 7*f. Let d be 16\/(-3) - 7\/((-42)\/(-4)). Let c(y) = 3*y**2 - 8*y. Give d*c(z) + 7*u(z).\nAnswer: 3*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-902*h - 16 + 965*h - 3616*h + 16)*(0 - 1 - 1).\nAnswer: 7106*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147 divided by 6.\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2))**(-27)\/(t**(-2\/5)*t*t\/(t\/(t**(-27)\/t))) assuming t is positive.\nAnswer: t**(-268\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 651555 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) 1102 (b) 27 (c) -3 (d) 5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 4\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28371 - -28371.072215. Round g to 3 decimal places.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3392 rounded to the nearest 100?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*61499.\nAnswer: 24599.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 13*j**2 - 13*j - 10. Let s be h(14). Suppose 91 = -s*b + 87. Let o be (-6)\/(-4)*(-4)\/15. Which is smaller: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from {g: 3, z: 7, q: 1, t: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 5:34 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 0)\/((-4)\/140). Calculate the highest common divisor of v and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 4, 0*n - 18019*f = -2*n - 18018*f + 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w = 35*w - 7315. What is the remainder when w is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 = 0, 2*a - 7*a + 34 = -2*n. Suppose -5*r + 3*m - 20 = 0, 10 + 8 = -4*r + 2*m. What is the units digit of 2\/r - 72\/n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21624)\/(-15708) - ((-89)\/(-11) + -9)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 372.566\nAnswer: 1862.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4*u + 18. Let w be 8\/u + 10\/15. Suppose -2*t = -w*j - t + 2, -2*j - 10 = 5*t. What is the third biggest value in j, -4, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -147, -143, -125, -87, -23, 73, 207, 385?\n\"Answer: u**3 + u**2 - 6*u - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 36 = -11*u. Suppose -2*c - 4 = -u*c, y + 32 = c. What is the units digit of (-186)\/y + -6 + (-1329)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2878 and -0.038.\nAnswer: 2877.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + (3 - 1) + -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 6:05 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r + 1. Let b(s) = 1. Let x(y) = 2*b(y) - j(y). What is x(3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i + 5. Let w(r) be the first derivative of -r**2\/2 - r + 115. What is n(t) + 3*w(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*r + 12 = -16, -2*r + 20 = 3*o. Let p = -5739 + 5746. Solve o*v + d = -p - 8, 3*v + 5 = -2*d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m**3 - 18*m**2 + 26*m - 19. Let c(a) = -a**3 - a**2 - a - 11. Let j(q) = 5*c(q) - s(q). Give j(-15).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22776 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 3*u**2 + u - 4. Let a be k(2). What is the second derivative of 528*h - 30*h**2 - 41*h**a - 255*h wrt h?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 4. Let n be q(8). Suppose -n*p + 10 - 2 = 0. Suppose -58 = -2*t + 2*z, 0*t + p*z + 106 = 4*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(0 - (-4)\/(-8)) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1013 - 1004 = 3*p, -g + 6 = 3*g - 2*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -620, -928, -1226, -1508, -1768?\nAnswer: -2000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*s - 0*s - 60, -3*v - 2*s - 14 = 0. Let r(w) = -w + 1. Let x be r(v). Suppose x*n - 145 = 4*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from ivviiivviii.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, b: 1, t: 5}. Give prob of sequence ebe.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1167.\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1209 is divided by 76.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 6*n + 111. What is the tens digit of k(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 41 = -2*b + 147, -2*l = b - 43. What is the greatest common divisor of 140 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 - 1 + 4 - 1 + (-3*m + 5*m + 0*m)*(m - 3*m + 4*m) + m**2 + 1 - 1.\nAnswer: 8*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*l**3 - 36*l**3 + 24*l**3)*(1 - l**2 + 0 - 2).\nAnswer: 66*l**5 + 66*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {u: 7, n: 6}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 121\/2. Let w(o) be the third derivative of -x*o**3 + 1\/60*o**5 - 2*o**2 + 1\/6*o**4 + 0*o + 0. Calculate w(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b*k**4 + 22*b*k + b - 50 with respect to k.\nAnswer: -16*b*k**3 + 22*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1461 + -3286. Let a = 109469\/60 + x. Calculate the common denominator of -67\/12 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, 2, -7, -2 in ascending order.\nAnswer: -9, -7, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 54553, 94079, 133591, 173083, 212549?\n\"Answer: -s**3 - s**2 + 39536*s + 15019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40\/(-48)*(-12)\/(-15)*1. Let i = 6.89 + -11.78. Let f = i - 0.11. What is the closest to -0.1 in m, 0.7, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {m: 1, t: 2, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 259.\nAnswer: 3108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**3 + 2*d**2 + 4*d + 24. Let r(f) = 13*f**3 - 7*f**2 - 13*f - 73. What is -7*h(i) - 2*r(i)?\nAnswer: 2*i**3 - 2*i - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 11*f**2 - 3*f + 5. Let y(n) = 72*n**2 - 20*n + 32. Let p(t) = 32*u(t) - 5*y(t). What is the second derivative of p(g) wrt g?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16463749.\nAnswer: 16463749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 88*c - 3351. Let d be x(112). Are 6504 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1672216*j - 5*j**2 - 1672216*j.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 7:07 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314 + 366 = 5*y + 3*p, 5*y = -4*p + 66 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*w**2 + 30*w**2 - 12*w**2)*(3*w**2 + 3*w**2 - 4*w**2)*(2 - 3 + 10).\nAnswer: 864*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/23 (b) 20 (c) -2\/133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 6032, -13, -0.3, 0.1043?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4, 63.\nAnswer: -0.5, 4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 13 = -2*t, -t - 4 = 18*f - 15*f. Let l(j) = -j**2. Let w(s) = s**2. What is f*w(q) - 2*l(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96476.299991 + -96476.8. Let o = p + 0.5. What is o rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2 + 8. Suppose -4*f + 15 = -f, -4*j = 4*f - 24. Put t, j, 5 in descending order.\nAnswer: 5, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(675) + (sqrt(675) - sqrt(675)*1))\/(sqrt(45)\/(sqrt(20)\/sqrt(4)))*1*5)*4 + -1.\nAnswer: -17 + 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11525?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, j: 1, o: 6, f: 2}. Give prob of sequence ofof.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4671062 + -373?\nAnswer: -4671455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 50, 91, 132, 173?\n\"Answer: 41*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - (-51 + 31 - 43)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.400309 nanograms to tonnes.\nAnswer: 0.000000000000007400309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2. Let y(r) be the second derivative of -3*r**3\/2 + 9*r. What is y(j(n))?\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 7*h + 2. Let s be r(7). Put 3, -3, s in ascending order.\nAnswer: -3, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/48 and -4\/34701.\nAnswer: 555216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2479979?\nAnswer: 1063, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -826 + 894 = 68*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 25*z**6\/6 - 23*z**2\/2 - 4. Find the second derivative of m(p) wrt p.\nAnswer: 500*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(13) + sqrt(1573) + 2 - (sqrt(13) - -4*(sqrt(78)\/sqrt(6) + sqrt(13)))).\nAnswer: 7 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggci when four letters picked without replacement from ccipcccpcciccgpckgg?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 107441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from {b: 2, k: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(7) + sqrt(63))*-2.\nAnswer: -8*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-238*l**2 + 238*l**2 + 20*l**3)*(1 - 1 - 2*l) + (-3*l**3 + 3*l**3 + 2*l**3)*(-5 - 2*l + 5) in the form n*l**2 + r*l**3 + d + v*l + x*l**4 and give x.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 13*q + 1. Let u(v) = v**2 - 13*v - 9. Let i be u(13). Is a(i) 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 5:13 AM and 6:51 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/13 + 4\/26. Solve k - 4 = -f*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -13*c**2 - 425*c + 9293. Determine g(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3978*v**6 + 1522*v**6 + 5444*v**2 - 7*v - 2040*v**6 + 7*v wrt v.\nAnswer: -539520*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w. Let r = 49\/149 + 2\/447. Let n(y) be the second derivative of 0 + 0*y**2 + 2*y + 0*y**3 + r*y**4. Give j(n(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/5)\/g*g**(3\/5))\/(g**(1\/3)*g**2))\/(g**(-2\/7)\/g**(2\/5)*(g**(1\/4))**(-4\/11)) assuming g is positive.\nAnswer: g**(-1567\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*o = 675, -5*x + 0*o - 3*o = -1093. Suppose -3*s = -k - x, -k - 12 = -4*k. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*j = -0*j - 174, 5*r + 3*j + 453 = 0. Let u = 457 + r. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83495 is divided by 6957?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 224*w**2 - 2*w + 8. Let y be h(-4). What is y rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1229, 2455, 3671, 4871, 6049?\n\"Answer: -x**3 + x**2 + 1230*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 4187183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u - 23*u + 1137948 = 46*u. Does 28 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*g - 5, 5*g - 3*m + m + 2 = 0. Let p(h) = 6*h - 1 + g + 1. Let a(w) = w. Give a(p(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 180\/135*(-5)\/((-10)\/9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60379?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -169 + 31. Let a = 330 + d. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1648 + -2.\nAnswer: -1.8352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 40?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -836394 + -4.\nAnswer: -836398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239, 234, 215, 176, 111?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/5))**(-3)\/(a**(5\/7)*(a**1*a)\/a))**(-5\/4) assuming a is positive.\nAnswer: a**(-3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21437.94 + 21673. Let w = -235 + m. Sort -2\/9, 5, -0.1, w in decreasing order.\nAnswer: 5, w, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254823 is divided by 13367?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201.3674 rounded to zero decimal places?\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -89720?\nAnswer: 89723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + 50 + -32 - (145 + 6).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0332 + 3\nAnswer: 3.0332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25230 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17412 (base 10) in base 15?\nAnswer: 525c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 = -2*z + 5*a - 129, -5*z + a + 635 = 0. Let g = z - 67. Calculate the remainder when g is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s - 18. Let v be f(6). Let h = -56 - -58. Is h - 5 - (v - 686) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-8\/9)*k))\/(k**(-11\/4)\/k)*k**(-5)\/k*(k*(k\/k**(-2))\/k)\/k assuming k is positive.\nAnswer: k**(-13\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**3 + 12035*n**2 + 7307800*n + 78936220 = 0 for n.\nAnswer: -1198, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 3:44 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1113?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.004? (a) 10987 (b) 4 (c) 2\/11 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20374283?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-4 + 0 - (1106\/(-38))\/7).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 9:09 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u + 14*u - 10*u. Let g(a) = -20*a. Determine g(h(s)).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5}. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -284*r**3 - 2*r**2 - 1152 wrt r?\nAnswer: -852*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in years?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6480) + (-2*(sqrt(6480) - (sqrt(6480) + -2*sqrt(6480))) - sqrt(6480)))\/(sqrt(900) + 2*(sqrt(900) + sqrt(900)*2)).\nAnswer: -24*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 22*q**2 + 19*q + 24. Let i be c(-21). Calculate the greatest common divisor of i and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1336 is divided by 598.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 4221805.\nAnswer: 13\/4221805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooaaoaoooooaaooaa. What is prob of picking 2 o?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + h**5 + 4*h**5 - 4*h**5 - 2*h**5 - 2*h**4 + 2*h**4 + (-h**4 + h**4 + h**4)*(-6*h + 4*h + 0*h) + 4*h**5 - 4*h**5 - h**5.\nAnswer: -4*h**5 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -36 - (82 - 138)) + 73?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1509723601*g + 14*g**3 - 1509723601*g.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16286133 + 26060661?\nAnswer: 9774528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.004 - -0.504. Let f = -0.2 + 0.3. Which is the closest to 0? (a) k (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*n - 0. Suppose q = -n*q. Round q to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -26. Suppose o*q = 200 - 68. Find the third derivative of -10*m**5 + q*m**2 - 24*m**2 + m**5 wrt m.\nAnswer: -540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(27\/15)\/(-3). Suppose -3 = -9*r - q. Suppose r = 3*w - 4*h - 23, -2*h = w - 5 - 16. What is the remainder when w is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 170 + -180. Is 3 a factor of (-35)\/f*24\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**4 + 151*v**3*y**2 - 2*v**2 + 76*v*y**2 wrt v?\nAnswer: -48*v + 906*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.138, 5\/2, -0.2, -2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k*k**(1\/2)))**(6\/5)*(k**(2\/7)*k)\/k**2)**(16\/7) assuming k is positive.\nAnswer: k**(608\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3 - 3 - b**2 - 8*b + 3 - 11*b. Let j(d) = -d**2 - 39*d + 7. Let o(f) = 2*j(f) - 5*u(f). Is o(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8757.088ml to litres.\nAnswer: 8.757088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2211 - 468 = -4*z, -2*z + 531 = -p. Is p >= -539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9534946*o**5 - 2*o**4 + o**2 - 8721985*o.\nAnswer: -190698920*o**3 - 24*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8071 - (-33)\/(-22)*(-1 - -3). Let g = s - 4511. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 47 = -76. Suppose 4*i - c = -9. What is the second derivative of 13*x**3 - 36*x - i*x**3 + 5*x + 12*x**3 wrt x?\nAnswer: 102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*5*45\/375*15.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 10.4 (b) -1\/7408 (c) 1\/7 (d) 0.1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2 + 9. Let z(b) = -m + 6*b + 8*b - 13*b - b**2. Determine z(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -340 - -1241. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171, 14, -9578, -1 in decreasing order.\nAnswer: 14, -1, -171, -9578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*y - 15 = -5*k + 111*y, -3*k + 3*y = -9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 42*a + 4876. What is the units digit of m(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1.3. Let k = 3.01 - 0.01. Let g = 0 - k. Which is the biggest value? (a) 0.3 (b) g (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**7\/420 + 7*t**6\/240 + 3*t**5\/20 + 5*t**4\/12 + 2*t**3\/3 - 1579*t**2. Let n(r) = 0. Calculate r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 33, -1531, -5 in decreasing order.\nAnswer: 33, -5, -29, -1531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2 - 2*l - 637. Let o(i) = -13*i**2 - 9*i - 2548. Determine -2*o(z) + 9*q(z).\nAnswer: -z**2 - 637","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**5\/4 + 3*o**2 - 20*o. What is the derivative of w(k) wrt k?\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m - 1 + m**2 - 3*m + 7*m. Let r be x(-7). Suppose 4*n = n + r. Solve n*l - 1 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 3*g**2 + 2. Let j = 4 + -1. Let o be m(j). What is the greatest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -10, -8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -172 - -190. Let f(b) be the third derivative of b**5\/60 - 3*b**4\/4 + 8*b**3\/3 - 5*b**2. What is the least common multiple of 28 and f(z)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from {l: 18, q: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114 + (-81 - -43) + 0?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23952.246 months to decades.\nAnswer: 199.60205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 v when four letters picked without replacement from {a: 3, s: 2, d: 3, v: 5}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l + 5. Suppose 0 = -3*m + 4 + 2. Let d(q) = 2 + m - 7 + 1 + 3*q. Determine -5*d(c) - 2*y(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 28 = 2*q, 74 = 3*m - m - 2*q. Calculate the remainder when 225 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mddm when four letters picked without replacement from ddddddddmmdmddmdmdd.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 1\/31, 0.3, 2\/69, -8, -2?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 2*g + 60. Let r = -4 + g. Suppose 2 = -2*k + r. Solve -2*f - k*f = -12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -222330 - 5?\nAnswer: -222335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**6\/(n**17\/n*n) assuming n is positive.\nAnswer: n**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1911, -5, 262 in descending order.\nAnswer: 262, -5, -1911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6916\/741*(30\/21 + -2)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 36 - 3. Let k(a) = -2*a + 13. Let j be k(x). Let q be (-6)\/j + 13\/3. Solve -q*p + 3 = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 11:29 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 223148, 446277, 669404, 892529, 1115652, 1338773?\nAnswer: 1561892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 619 = -5*t, -1249*w + 1251*w + 604 = 5*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 335954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -52.062. Let k = r - -0.1. Let h = 0.05 - k. What is h rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 207855*t + 207852.\nAnswer: 3*(t - 69284)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 3*f - 4. Let z be w(0). Let s be (-6)\/(-4)*4\/(-2). Sort z, s, 2 in descending order.\nAnswer: 2, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-seven halves of a meter?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 839, -2136, -5111, -8086?\nAnswer: -11061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22289630*s**3 - 2*s - 18532340?\nAnswer: 133737780*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*u - 2, u + 0 = 4*w - 1. Suppose w = 4*k + 5*n - 1213, -2*k + 617 = -2*n + n. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 11. Let g be l(-5). Suppose 5*d + g = 3*j - 1, 5*d = 4*j - 16. Solve -2*f = -5*i - 7 - j, -2*i = -f + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from {u: 1, z: 4, o: 4, c: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2)\/(10 + -1 - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhe when three letters picked without replacement from heiilleelhhihl.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -335 and 2502777218.\nAnswer: 2502776883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29947727?\nAnswer: 17, 67, 26293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 203 - 203. What is the nearest to a in 3\/7, 1\/10, 0.6?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7301.\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.11 - 0.14. Let k = g - 0.07. Let r = -2.6 + 3. Which is the closest to k? (a) r (b) 1\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 4*k**2 - k + 5. Let z be g(4). Let f(p) = p - 8. Let l = 17 - 7. Let h be f(l). Solve z = -u + h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*h - 2, b = -4*h + 25. Suppose b*a = 14*a + 20790. List the prime factors of a.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-12 + 7 + 2)) + (-9 - 1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-9)*6\/(-4). Suppose p = -b*k - 0*p + 42, -p = 3*k - 31. Calculate the remainder when k is divided by (20\/8)\/((-1)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*j - 113 = -245. Solve 0*q - 5*h = 5*q + 45, 5*q - j*h = -9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22444 and 5792.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15683?\nAnswer: 15683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + b + 6. Let o be w(-3). Suppose -31*a + 29*a - o = 0. Let p(y) = y**2 + 5*y + 3. Determine p(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3498 and 250266.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1889\/678687 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -794 + 187. Let m = y - -609. Suppose -b + 3 - 7 = -2*n, -b = -n. Put -4, n, m, 1\/4 in descending order.\nAnswer: n, m, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9366618949*c - 16*c**3 + 9366618949*c - 16*c**3.\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31655?\nAnswer: 5, 13, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l = -5*s + 33, 0 = -s - 3*l + 15. Let g = s - 2. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*d - 6*d**2 - 190*d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -244853818.4 rounded to the nearest 1000000?\nAnswer: -245000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from pppppppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 4. Let d(n) be the second derivative of -n**4\/2 + n**3\/6 - 2*n. Let r be d(1). Does 2 divide j(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/40 + (-56)\/(-90). Which is the nearest to q? (a) 3 (b) -4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1853 and 6575175?\nAnswer: 6575175.1853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, h: 6, l: 1, n: 5}. What is prob of picking 1 l and 1 h?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 a when three letters picked without replacement from zaayzxa.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 330*n - 6560.\nAnswer: 5*(n - 16)*(n + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189126 and 1593340?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 528.5 + -529. What is the nearest to 4 in -0.1, -1, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (sqrt(2205) - -2*sqrt(2205))).\nAnswer: -12 + 378*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-30))\/((-14)\/(-42)). Which is the biggest value? (a) -1\/6 (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*i + 179, -4*d = 3*i - 182 + 59. Calculate the lowest common multiple of i and 5.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -32 + 0*f**2 - 103*f - 2\/3*f**3. Find the first derivative of u(j) wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*d - 6. Let i(r) be the first derivative of 3 + d*r - 1\/2*r**2. Differentiate i(c) wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26817, 189, -3 in descending order.\nAnswer: 189, -3, -26817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003857 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 72\/252*(1 + 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 53*m**2 - 3*m - 2. Let r = -52 + 55. Let y be d(r). Suppose 0 = -a + 3*a - y. What are the prime factors of a?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -683 * 1.\nAnswer: -683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 69162730 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/15)\/(795\/75 + -10)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576047912 to the power of 1\/2, to the nearest integer?\nAnswer: 24001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 35.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 33*k - 9. Let x be z(-6). Let n = -143 - x. Let c(a) = 31*a - n*a + 34*a. Let d(u) = 26*u**2. Determine d(c(t)).\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 381567077, 381567079, 381567081, 381567083?\n\"Answer: 2*y + 381567075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**2 - 6*f - 6. Let n be -3 + (-2 - 1) + 12. Let i(t) = -t**2. Let a(p) = n*i(p) + l(p). Let c be a(-4). Is 9\/4 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = 5*d + 2*w + 4, -3*w + 111 = -3*d. Let s = d + 44. Solve 4*y - 25 = -h - 4*h, -s*y + 2*h + 18 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83.61*2\nAnswer: 167.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5849338*p**2 - 11903540*p.\nAnswer: 11698676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39239 is divided by 7193?\nAnswer: 3274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000110010 (base 2) in base 16?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1894547824 to the nearest integer?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1313, -1, 3\/2 in ascending order.\nAnswer: -1, 3\/2, 1313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 77*i - 46. Is f(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/14*-3)\/(2\/(-4)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 533 divide 1328239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 182695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-1672)\/114)\/(-14)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -189674, -1517496, -5121586, -12140078, -23711106, -40972804?\n\"Answer: -189689*n**3 + n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q**2 + 13*q - 23. Let g(c) = -211*c - 838. Let h be g(-4). Let o(p) = -5*p**2 - 7*p + 12. Give h*s(y) + 11*o(y).\nAnswer: -y**2 + y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from okkgqg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1363 = -x + s, 3*x + 9*s - 4*s = 4113. Is 52\/156 - x\/6*-1 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 406328 and 2340.\nAnswer: 18284760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 28 (c) -1163 (d) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*g + 11 + 13. Suppose -4*j - 5*k - 9 + g = 0, 0 = -2*j - 5*k - 11. Solve -2*r - j*r + 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14146652 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 4*s**2 - 8*s + 7. Give n(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/(-360) - (-58)\/580. Factor 2\/3*q**2 - 2\/9*q**3 + n - 2\/3*q.\nAnswer: -2*(q - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1123521 (base 6) to base 2\nAnswer: -1110001000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-18 - (13 + -9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 46 - (-16 + -2 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 k, and 1 w when three letters picked without replacement from {k: 1, w: 1, r: 1, m: 5, f: 1, b: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1. Let q(a) = -12*a**2 - 2. Let y(t) = -4*c(t) - q(t). Let o = -525 - -527. What is the tens digit of y(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22600 divided by -11300\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 27. Let v be t(-8). Suppose v*n = 15*n + 8. Suppose -3*b + 7 = n*k, -5*b = -0*b - 5. Calculate the greatest common factor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 42 - (2 + -8 - -14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5926144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Let j(h) = -s*h - 2*h + 3*h + 7. Let c be j(8). Which is smaller: -1\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-7))\/(3\/14). Let d be 24\/16 - 2\/(-4). Let g(b) = 1 + 3*b**2 + 3*b - 14*b + 6*b - d*b**2. Give g(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, 394, 662, 970, 1318?\nAnswer: 1706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 1.1, 1\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1131, -1218, -1343, -1488, -1635?\n\"Answer: 3*s**3 - 37*s**2 + 3*s - 1100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35642, -71526, -107424, -143342, -179286?\nAnswer: -215262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10)\/t**2)\/(t*t**4*t*t**(-33)) assuming t is positive.\nAnswer: t**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4429*p**2 - 5 + 4429*p**2 + 3*p + p**3. Let u be j(2). Suppose -5*o - 5 - u = -a, 5*a + 4*o - 12 = 0. Solve 2*l = a*l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, p: 2, d: 2, l: 1, o: 2, r: 1}. Give prob of picking 1 l and 1 p.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 + 9 - 9 + (-37*v + 20*v - 30*v)*(-v + 3*v + v).\nAnswer: -145*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Let d = 12 - 10. Solve 0 = d*q + l - 14, p = -q + l + 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 585, 58, -2 in increasing order.\nAnswer: -2, 58, 585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.0449\nAnswer: 0.01796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t + 334 = 502 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 2, a: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 1. Let w be n(7). Let o = -13 + w. Let a = o - -34. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 160, 159, 158, 157, 156?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.9089 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1259348 divided by 6?\nAnswer: -629674\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 4:19 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010111111110 + -101?\nAnswer: -1011011000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 390987 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 + 0 + 4 - 1 + 2*y**2 - 18*y - 4 as r + j*y + a*y**2 + h*y**3 and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18542016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (582\/(-582))\/((-8)\/336)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 15 = -1. Let j(g) = g**2 + 5*g + 8. Let h be j(v). Suppose -n + h = 3*p, -18 = n - 7*p + 2*p. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f + 73 - 73 as w*f + m and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m - 76. Suppose 10 - 2 = 2*o. Suppose 0 = o*g - 0*g - 4. Calculate the lowest common multiple of g and n(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2\/(r\/r**(-3)*r*r))\/(r**4\/((r*r**(-2\/3))\/r)))\/((((r**0*r)\/r)\/(((r*r**(-1\/6)*r*r)\/r)\/r*r))\/(r**(2\/9)*r\/r**(3\/2))) assuming r is positive.\nAnswer: r**(-64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*c**2 + 223*c**2 + 5*c**3 + 3*c**2 - 18*c**2 to b*c**2 + m + o*c**3 + f*c and give b.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -251, 2, 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - 105)\/(-30) + (-2 - (5 - 19))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**8\/5040 + 67*w**5\/60 - 2*w**2 - 2. Let p(j) be the third derivative of i(j). Let q(s) = 6*s + 2. Give q(p(t)).\nAnswer: 24*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.91 - 7. Let q = 0.0899969 + n. What is q rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 2\/(-19) + (-19251)\/1767.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1130104 - 2414012?\nAnswer: -4044121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*d + 58 - 32 - 29.\nAnswer: -353*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 1 + (-6468)\/(-33). Is 197 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03906 - 0.01094. What is the nearest to -0.1 in -2\/127, 0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-10) + 19\/(-6) + 16\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1988721 (base 10) to base 15\nAnswer: -2943b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-18)\/(-99) + (-889)\/(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2147643, -4295255, -6442867?\nAnswer: -8590479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + 9. Let p = -6 - -5. Let i = 2 - p. What is the highest common divisor of t and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 60 = -4*v. Let n = -299\/5 + v. Let y be -5 + 9 + -9 + 2. Which is the second smallest value? (a) n (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -5. Suppose 2*b + 136 = 5*w + b, 0 = w + q*b - 24. List the prime factors of w\/2 - 1\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8523 greater than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 4*f + f. Suppose -37*g = -36*g - 10. Calculate the highest common factor of f and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-10))\/(2\/10). What is the third smallest value in -0.05, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28.885 + 0.265. What is c rounded to 0 decimal places?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 50\/8 - (-2)\/(-8). Suppose 3*d - y*d = -30. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/11 - (-2428)\/44. Let j be i + (3 - 3) + -1. Suppose -90 = m - 6*m + 5*n, 2*n = -4*m + j. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 2*c**2 - 2*c**5 + (0*c + c - 3*c)*(4*c**4 + 0*c**4 - 2*c**4).\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202011102010120 (base 3) to base 10.\nAnswer: -10715667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4534.\nAnswer: 2, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) + 8\/(-3). Let s = 3 + f. What is the second derivative of s*z - z + 3*z**5 - 6*z**5 wrt z?\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10976\/4965 - -15\/662. Find the common denominator of -81\/14 and p.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 63, 76, 69, 36, -29?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -11*j + 20. Solve -3*x = -4*x + f - j, x + f = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 110 = -2*s + 16*w, -4*s + 234 = 3*w. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/40*4*5. Put i, -3, -7 in increasing order.\nAnswer: -7, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*h = 173*h - 4*g + 68, 6*h - g - 102 = 0 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 19 = -y + 3*j, 0 = -5*y - 4*j - 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 13 + 41 + 2*r - 9.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h - 12 = 0. Let q be h\/1*5\/10. Solve 2*z + 16 = q*z, -4*y + z - 16 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**6*p)*(p*p\/((p**(1\/3)*p)\/p))\/p)\/((p*p*p\/p**(-5))\/p*p**5) assuming p is positive.\nAnswer: p**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5880 divided by 210?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.17 - -57.07. Let i = 9.1 + l. Which is smaller: -0.2 or i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44c5 (base 16) to base 11.\nAnswer: 12255","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)*-2 + 3)**2 + (-2*sqrt(208))**2*-3)*-3 + ((-2 + sqrt(208))**2*2 - (-3*sqrt(208)*3 - sqrt(208))**2).\nAnswer: -15411 + 112*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + g = 13 - 6, -3*m = 3*g + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3096 - 827 = 334*p - 2741 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (29 + -28)*123\/3. Suppose a*h = 35*h + 72. Solve 5*p + 20 = -g, 0 = 3*p - 0*p + h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Suppose -3*j + l - 12 = -4, j + 5*l - 24 = 0. Let f = 3 + -6. Sort f, u, j in ascending order.\nAnswer: f, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 28*g - 52. Let u be m(-2). Factor -2\/7*b**2 + u*b + 2\/7.\nAnswer: -2*(b - 1)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 38*g**2 + 155*g + 2. Let n(j) = -j**3 - 32*j**2 + 221*j + 38. Let a be n(6). Determine c(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -0.1 (c) -9 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 562968.\nAnswer: 562968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 149103 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n. Let b(q) be the second derivative of 0*q**4 + 0*q**3 + 0 + 1\/30*q**5 + q**2 + q. Let d(g) be the first derivative of b(g). Determine y(d(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1945 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -37261.737 rounded to the nearest ten?\nAnswer: -37260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/7 + 974*x**2\/7 - 19192*x\/7 + 18216\/7.\nAnswer: 2*(x - 18)*(x - 1)*(x + 506)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3848 and -32\/4329?\nAnswer: 34632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-60)\/(-5))\/(-6)*(-6)\/(-4). Let t = 2.6 + 12.4. Let n = t + -15.1. Put -2, 0, f, n in increasing order.\nAnswer: f, -2, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -59 and -309 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 394000 and 500.\nAnswer: 394000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 13*u = 0. Let r(d) be the third derivative of 0 + 1\/120*d**6 + 0*d**4 + 0*d + u*d**3 + 5*d**2 + 1\/30*d**5. Solve r(y) = 0 for y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2212 and 521.501.\nAnswer: 521.2798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000100000100 (base 2) in base 9?\nAnswer: -68141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 58 = 2*i - 68, -2*c - 14 = -6*i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2)\/(9\/72). Let l be (1 - 2) + 1*(3 + k). Find the second derivative of l*g + 2*g**5 - 505*g**2 + 505*g**2 wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.3 - -12.3. Let l(t) = -t - 1. Let g be l(7). Which is smaller: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -508, 3591, 7694, 11801, 15912?\nAnswer: 20027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 0.4 (c) 2 (d) 20044 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 7*n - a - 10, 15 = 5*n - 2*a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5205832 - -0.5.\nAnswer: 5205832.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7759 + -7912 - (-75 + 0)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0448 + 21.1448. What is the closest to c in 0, -0.5, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 12 + 7)*(-3*m + 1 - 1)*(-1 - 2*m + 1) in the form q*m**2 + p + v*m and give q.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f**4 - 20*f**3 - 88*f**2 - 52*f = 0. What is f?\nAnswer: -1, 0, 13\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4032.433l?\nAnswer: 4032433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12596 is divided by 600.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000001111000011000 (base 2) in base 10?\nAnswer: -1842712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Suppose -4*h = -z*v - v + 52, -5*h = 5*v - 115. Let o(y) = -24*y - 3. What is the remainder when o(-3) is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/4, -28\/4931, 1.3.\nAnswer: -3, -28\/4931, 1\/4, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30a14 (base 13) in base 4?\nAnswer: -111111132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 60*i**4 + 1872\/5*i**2 + 256\/5 - 1152\/5*i - 256*i**3 = 0. Calculate i.\nAnswer: 2\/3, 4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 9*b**2 + 75*b + 68. Let g be h(-14). Put -597, 0, g in ascending order.\nAnswer: -597, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 713574145 divided by -29\nAnswer: -24606005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**(-5)*o))\/(o*o*o\/o**(-5)*o))\/((o**5\/o)\/(o**4\/o*o)) assuming o is positive.\nAnswer: o**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 4*r - 21, 34*p - 35*p + 5*r = 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535264237?\nAnswer: 37, 179, 80819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4\/81 + 146\/1863. Which is bigger: c or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0 + 5, -15 = -2*q - 5*u. Suppose 5*b - 4*n - 1385 + 1439 = 0, 0 = -3*n - 27. Put q, -2, -4, b in decreasing order.\nAnswer: -2, -4, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 7*k + 13. Let c be 196\/22 - 21\/(-231). Calculate m(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 6*k**2 + k - 4. Let d be j(6). Suppose d*i - 45 - 5 = 0. Let a be (8 + -3)*(-4)\/(-2). What is the highest common factor of a and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -606 + 609. Which is bigger: -14\/9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -37, -329, -1115, -2641, -5153?\n\"Answer: -41*q**3 - q**2 - 2*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 44, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*o - 4, 12*z - o = 14*z + 5. What is the thousands digit of ((z - -9) + -12)\/((-4)\/1238)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1475004 (base 8) in base 3?\nAnswer: -210120020110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/480486 and 47\/24.\nAnswer: 1921944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340182?\nAnswer: 2, 3, 18899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1252 <= -1229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30 and 1.2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20, 112, 272, 500, 796?\n\"Answer: 34*x**2 - 10*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/11459 and 73\/2254149.\nAnswer: 15779043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1 = g, 5 = w + 4*g - 4. Suppose 3*z + 5*p - 13 = -w, -3*z + 3*p + 12 = 0. Let o = -120 - -120. Solve o*a = -z*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*p - 15 = 0, 17*g - 12*g - 20 = 4*p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide -3 - (-208 + 4 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z - 9. Let i(o) = o. Let t(x) = i(x) + w(x). Let a be t(-4). Let q = 457\/4 + -115. Sort q, a, 5.\nAnswer: a, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 0) + 0 + -2. Let z(m) be the second derivative of m**3\/6 - 5*m. Let p be z(o). Solve 1 = -i + p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 12. Suppose 4*q + 2*b - 36 = 7*b, 4*q + 2*b - 8 = 0. Let n = h - q. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -c - v + 73, 5*c + v = 607. List the prime factors of c.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2230601550 to the nearest integer?\nAnswer: 47229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g + 46. Let x be (-2)\/(-5) - g\/5. Solve -4*p + x = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4778 + 4803. What is the second smallest value in -0.17, 1\/7, o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -236 - -241. Let y be 1 - 1*-1*7. Solve -h + w*h = -y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 1 - 2) + 30\/(-6). Let p be (n + 1)*(-7)\/(-98) + 1. Let d = 52 + -207\/4. Sort d, p, -3 in increasing order.\nAnswer: -3, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11158b (base 12) to base 3.\nAnswer: 111211021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/12*(-2 - (-21)\/10). What is the fourth biggest value in -5, 0.3, 2\/9, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*w - 19*w + 106. Let c = w + -51. Solve -2*l = 8 - c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, 0.006, -5700?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 109415*k + 437580.\nAnswer: 5*(k + 4)*(k + 21879)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5145?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v - 3*v**2 + 2*v**2 + 4*v**2 - 3*v - v**2 to the form r + b*v**2 + o*v and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -789 - -793. Solve -4*b = 4*a - 3*b + 16, -c*b = 4*a + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 625\/414 + -2\/207. Let z = -7 - 7. Let m be 4\/z + (-34)\/(-70). Which is the biggest value? (a) -2 (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 41 + 9. Suppose 4*p = 9 + 11. Which is the nearest to 0? (a) -2 (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + n + 56. Let l = -16 - n. Is 10 a factor of 2\/(-1) - (-24 - l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 721233.9 milligrams in micrograms?\nAnswer: 721233900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 642706408 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 1 + 0 + 0)*(2 - 1 + 2).\nAnswer: 3*p + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 4 = -4*k. Suppose 0 = j - 0*j - k. Let y(n) = 10*n**j - 9*n**2 - 3*n**2. Let d(r) = -2*r**2. Calculate y(d(u)).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -14 + 0*t - 15*t**2 + 70*t**2 - 4*t + 9*t**2. What are the prime factors of w(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or -355\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2564088?\nAnswer: 2, 3, 19, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1933436*g**4 - 1223657*g.\nAnswer: 23201232*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3354*j - 211. Let a be t(3). Round a to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2622426 - -7?\nAnswer: 2622434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/15, 2, -2\/15, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 311, 583, 939, 1385, 1927?\nAnswer: 2571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2499062387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12780771*s**2 - 1479*s - 26199?\nAnswer: 25561542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 19. Let t be z(-9). Let q = 47 - 40. What is the greatest common divisor of q and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -1. Let d(y) = -y**3 + 5*y**2 + 3*y - 9. Let o be d(5). Let a be o\/7 + (-5 - (0 - 4)). What is the third smallest value in 1, a, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 31295880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 7*l - 8. Let y be h(8). Suppose y = 2*p + 3*q + 178, 5*q = q. Let z = p + 124. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3}. What is prob of sequence rrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w**3 + w**2 + 2*w. Give i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3025 and 26015.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 13. Sort 5, 3, j, 2.\nAnswer: j, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 27. Suppose 0 = 3*y - 5*n + 37, 0 = 4*y + 6*n - n - 9. Let t = -17 - -12. Sort t, v, y in decreasing order.\nAnswer: v, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61701.13 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 205 and 55?\nAnswer: 2255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 26. Let t be z(15). Suppose 2*d - 2*i + 20 = 32, t*i + 20 = 0. Put -1, d, 13 in ascending order.\nAnswer: -1, d, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 3)\/((-8)\/(-10))*-8. Calculate the greatest common divisor of 65 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 33 - 51. Let i(y) = 2*y**2 - 9*y. Let d(b) = b**2 - 4*b. Give g*d(c) - 6*i(c).\nAnswer: 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3827 (base 10) to base 4.\nAnswer: -323303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 1 (c) -2\/13 (d) -871 (e) -0.3 (f) 4 (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -1 - (-290 + 260) - (59 + 2)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 4*h + 12, -84*h + 3*i = -88*h - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 379527.1 decades in months?\nAnswer: 45543252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 10 = r. Let i be 19 - -2*(-1)\/r. What is the greatest common divisor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4 (b) 2\/3 (c) 1\/2 (d) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*s - 33, 3*u + 5 = -4. What is the units digit of 4\/s - 20\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 8*k - 2. Let t be f(-10). Suppose 12 = 6*a - t. Solve 0 = -8*j + 3*j - o - a, 3*j - 4*o + 26 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, r: 3, k: 7, p: 5}. What is prob of sequence kkr?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*h + 6 = 0, -3*h - 10 = i - 4. Suppose -b**3 + 5\/4*b**2 + i - 1\/4*b = 0. Calculate b.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101974\/8735 >= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 4:56 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 546, 566, 586, 606, 626?\n\"Answer: 20*s + 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 + 8*a**3)*(16 + 24 - 12)*(15 + 15 - 14).\nAnswer: 3584*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -6 (b) -247 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/4*4\/(-3). Let r be (-776)\/(-30) - (-16)\/120. Let u = p + r. What is the lowest common multiple of 9 and u?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * -4.4.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 7*h**2 + 7. Let z be s(-7). Suppose 4*o - 5*n + 2869 = 36813, -5*o = 5*n - 42475. Suppose o = -0*x + z*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - -14. Let b = 22775601023 + -22775600967.000000662. Let z = b - d. Round z to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -13*y**2 + 8*y + 11. Suppose -5*a - 23 = -x + 2*x, 4*x - 2*a + 26 = 0. Let b(h) = -5*h**2 + 3*h + 4. Let o(v) = x*b(v) + 3*g(v). What is o(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 172*o**3 + 5*o**2 + 7*o + 9. Calculate l(-3).\nAnswer: -4611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94834 is divided by 413.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 20 - 59 = 0. What is the greatest common factor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**6 - 3*f**3 - 173*f**2.\nAnswer: -600*f**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 11*w**3 - 4*w**2 - 1. Let a(m) = 11*m**3 - 3*m**2 - 1. Let t(j) = -5*a(j) + 4*p(j). Calculate the remainder when 31 is divided by t(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 305, 1244, 2817, 5030, 7889, 11400, 15569, 20402?\n\"Answer: m**3 + 311*m**2 - m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.852 to 1 decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 183.775?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 13. Let m(y) = 5*y + 1. Determine m(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 10 - -54) + (8 - (7 + -1)) + -10.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 b when three letters picked without replacement from {f: 7, b: 4}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62159612 and 139859127.\nAnswer: 559436508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -22. Let m = -1185.6 - -1186. Sort m, -0.08, -0.1, g.\nAnswer: g, -0.1, -0.08, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 - -14. Let z = 146 - 194. Let q = o - z. Solve -2*h - q = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 10:47 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**2\/9 - 23720*k - 2135200\/9 = 0?\nAnswer: -10, 53380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 60. Let b = 20.00009 - l. What is b rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.997 and 1?\nAnswer: 3.997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 + -68?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, 5, 6 in decreasing order.\nAnswer: 6, 5, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10822701481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -7400*f**5 - 3500*f**4 + 5724*f**3 + 4436*f**2 + 764*f - 24 = 0. Calculate f.\nAnswer: -3\/5, -1\/2, -2\/5, 1\/37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.3 (c) -3 (d) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3672? (a) 0.58 (b) -4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 72?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - (-11354)\/1911 - 12\/(-78). Which is the closest to 0.6? (a) h (b) 3 (c) 43 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-318)\/92*(-1)\/(9\/(-6)) and -51\/7.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.049 + -1.11. Let k = -144 + 154. Suppose 3*n = -7*n - k. What is the third biggest value in -4, z, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -66, 39, 330, 903, 1854, 3279, 5274?\n\"Answer: 16*o**3 - 3*o**2 + 2*o - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13177722.\nAnswer: 2, 3, 2196287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -2222?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6 - -2.73. Let k = 0.23 - t. Is -0.01 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (38 - 41)\/((-1)\/(-4) - 1). Suppose -43 = -j + 2*z, -3*z = -r*j + 176 - 14. Suppose 0 = 8*a - 64 - 144. Calculate the greatest common factor of j and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 875 + -872. Suppose -1\/7*k**c - 1\/7 + 1\/7*k + 1\/7*k**2 = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y**4\/9 + 59320*y**3\/9 + 34174850*y**2\/9 + 128822500*y\/3 = 0.\nAnswer: -1135, -150\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459 = -277*x + 250*x for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 57169.16 centuries?\nAnswer: 571691.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3802? (a) 4 (b) -2\/5 (c) -1247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3312859988 to the nearest integer?\nAnswer: 57557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*t, -27 = -0*r + 5*r - 5*t + 9*t + 77 + 40 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1. Let v(t) = -19*t + 2. Let q(x) = -4*o(x) + v(x). Let f be q(-9). Suppose 2*y - f = -y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1265 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-39))\/(((-1659)\/(-126))\/79)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-22)\/495 + 133\/15. Solve m - 9 = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -3\/1690 (c) 0.12 (d) -4 (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.2 (c) 13 (d) -1 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2467, -4971, -7473, -9973, -12471?\n\"Answer: s**2 - 2507*s + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163942 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/11)\/o)\/o**6*((o\/(o*o**(-7)))\/o)\/o**3)\/((((o\/(o**(3\/4)\/o))\/o)\/o*o*o*o\/(o*o*o*o*o**(3\/4)*o*o))\/((o*o**(3\/7))\/o**3)) assuming o is positive.\nAnswer: o**(-137\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lel. What is prob of sequence ll?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2250\/((15\/(-144))\/(-5)). Suppose 4*l + c = 2*l. Let m be (-1)\/((-6)\/(-50))*l. What is m rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Let p = 122 - 80. Is 14 a factor of (-27)\/i*p\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 z when four letters picked without replacement from {a: 2, e: 4, z: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 145448380 to the power of 1\/3, to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 10 = 8*j. Let n be 2\/4*16\/2. What are the prime factors of (-654)\/(-15) + n\/j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**17\/z**(-5)*(z*z**1*z)**3 assuming z is positive.\nAnswer: z**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1 - -2) + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -148, -562, -1236, -2158, -3316, -4698, -6292?\n\"Answer: 2*t**3 - 142*t**2 - 2*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -304, -603, -900, -1195, -1488, -1779, -2068?\nAnswer: -2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -3. Let c(h) = 2*h**2 - 1. Let r be c(b). Suppose -10 + r = i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 691380636 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y - 5087. Let s(m) = -9*m - 23. Give o(s(p)).\nAnswer: -27*p - 5156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 5*q + 5*q)*(4 + 8 + 7).\nAnswer: 76*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 2*q - 2*q + 3*q - 2*q + (2 + 3 - 3)*(-q + 3*q + 0*q))*(35 - 5 + 5)*(-4 + 4 - 1)*(0 - 1 + 0).\nAnswer: 35*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -101, -3\/7, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*n + 2)*(4 - n**2 - 4) + (4*n**3 - n**3 - n**3)*(2 - 2 - 2).\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -782, -785, -788, -791, -794, -797?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-2 - -2) + 18 + -14\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 807946651 to the power of 1\/3, to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.1 + -6.25. Let w = 0.15 + l. What is the third smallest value in 0, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -289*b**5\/20 + b**3\/6 + 406*b**2 + 111*b. What is the derivative of r(s) wrt s?\nAnswer: -867*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 18. Suppose -2*z - 19 = -t*l - 3, -2*z - l + 4 = 0. Solve 3*j - 4*j - 4 = z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbc. What is prob of sequence cb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x - 4*x**3 - 13*x - 6 + 16*x as q*x**3 + v*x**2 + j*x + l and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.092757 to 4 dps.\nAnswer: -0.0928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 8 = 4*b + 4, -b - w + 4 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1521 and 26871?\nAnswer: 80613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = -3*h. Let k = -68\/69 + -8\/23. What is the closest to h in -2, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(17) + -1 + (sqrt(425) - sqrt(17)) - sqrt(85)\/(sqrt(15)\/sqrt(3))) + 4)**2.\nAnswer: 32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 787 = -8. Let x = r - -1116. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13 + 741\/(-15)*-5. What is the highest common factor of r and 3068?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2 - 13*q - 7*q**2 + 7 + 0 + 9*q**2. Let d be i(6). Suppose -15 = -6*p + d*p. What is the smallest common multiple of p and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/7, 575, 2\/37, 0.4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -443, -1746, -3913, -6944, -10839, -15598, -21221?\n\"Answer: -432*l**2 - 7*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61\/3 or -1193?\nAnswer: -1193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -341 (base 16) in base 12?\nAnswer: -595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(85\/5100*(-15)\/6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427154269 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50317691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6438 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3843*g + 1195*g + 40123 + 46117 = 2742*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.577 - -385.423. Let t = 384.907 - m. Let k = 1.1 + t. Round k to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.936304nm in centimeters?\nAnswer: 0.0000006936304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*b + 2*i, -4*i + 8 = -8*b + 13*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225, 449, 681, 927, 1193, 1485, 1809?\nAnswer: 2171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (172*k - 43*k + 262*k)*(1 - 1 + 1) - 4*k + 0*k + 7*k in the form q*k + c and give q.\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 4*d + 1. Let c be o(3). Suppose 0*q = 3*q - 3*g, -c*g = -20. Solve 22 = 3*u - q*u - 4*v, -19 = u + 4*v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -57*x - 33. Let w(q) = 7*q + 4. Let a(n) = 4*m(n) + 33*w(n). Let t(d) = -11*d. Determine a(t(h)).\nAnswer: -33*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13574*g*s**3 + 2638*g*s**2 - 25*g*s + 2*s**3 wrt s.\nAnswer: 81444*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 12:04 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 - 2*d**2 + 5*d**2 + (-4*d + 2*d + 6*d)*(2*d - 5*d + 2*d) - 3 + 3*d**2 + 3 + 2*d to the form r*d + z*d**2 + g and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -41. Let k(f) = -f**2 - 6*f - 3. Let g be k(-5). Suppose 0 = t*m - g*r - 2*r - 108, 5*r - 65 = -3*m. Solve d = -4*d + m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(80) + 4 - (sqrt(80) - (1 + 2*sqrt(80)) - sqrt(80)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-4 + 2 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**2 - 3*x**2 + 39*x**2.\nAnswer: 44*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116576?\nAnswer: 2, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 9 + 7 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 155 - -331. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1046 rounded to one dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -51610 (base 7) to base 3\nAnswer: -122100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 2*n + 16. Let c be w(0). Suppose -6 = -g + c. Solve 6*t = 3*m + 2*t - g, -t = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -590*s + 593*s - 2*g, 5*s + 2*g = 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -114, -142, -204, -312, -478, -714, -1032?\nAnswer: -1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/2)\/((-3)\/4). Let n be (-1)\/(-1) + k + -24. Let q = n - -243. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o**2. Let w(l) = -16778 + 9*l**2 + 16778. Suppose g = -1 - 1. Give g*w(x) + 3*z(x).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 576 = -5*j, -3*v - 7*j + 927 = -10*j. Calculate the remainder when v is divided by ((-2)\/(-4)*102)\/((-21)\/(-14)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271894798 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4818260 - 4818259.4828369875. Let o = -52.4828362475 - m. Let g = o - -53. What is g rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146264 + -73275. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = a + 5*r + 42, 10 = -2*a - 3*r. Suppose h = -i + 259, -346 = -2*i - 3*h + 171. Suppose a*x - 200 = i. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 - 6*l + 6. What is v(-6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.02 and -0.4?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1448\nAnswer: -3\/1448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gygg when four letters picked without replacement from {g: 4, y: 1, i: 1, o: 1, x: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*d - 79*d + 11 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + (3 - -6 - 26)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 472786 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3, 3*f + v - 97 + 37 = 0. What is the smallest common multiple of f and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*m**3 + 15137707*m**2 + 2*m - 15137704*m**2 - 1 - 3*m**4 - 2 to the form b*m + q + v*m**3 + n*m**4 + l*m**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -100*x + 49*x + 49*x. Let d(l) be the third derivative of l**5\/60 + 3*l**2. Calculate d(m(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61975.395s to hours.\nAnswer: 17.2153875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 23 = -5*j, 0 = j + 2*w + 1 - 3. Suppose -28 - 12 = -20*a. Factor -j + u**5 + 4 - u + 0*u + 2*u**4 - 2*u**a.\nAnswer: u*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1474*n*x + 2*n - 5*x - 57 wrt n?\nAnswer: 1474*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 0, -3 in decreasing order.\nAnswer: 2, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**2 - 2*a**2 - 2*a**2 + ((-5 - 7 + 5)*(-4 + 1 + 7) + 1 - 16 + 4)*(5*a**2 + 5*a**2 - 6*a**2) to m + l*a**2 + q*a and give l.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/17842816 and -143\/816.\nAnswer: 909983616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 7:35 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2\/90)\/((-36)\/108)*(-10)\/(-6)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c (base 15) to base 13.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 15 + 1 + (1 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/3))**(-3))**(-16)*(l*l\/l**(-2)*l*l)**10*(l*l**2)**34 assuming l is positive.\nAnswer: l**146","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2. Let a(c) be the second derivative of 0*c**2 - 3*c - 9 + 15\/2*c**3. What is a(o(l))?\nAnswer: -90*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3545?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 32*k + 420.\nAnswer: -4*(k - 7)*(k + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.34853 rounded to one decimal place?\nAnswer: -125.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 312212310 (base 5) to base 15\nAnswer: 1a6b70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 145 - 3\/(-4 + 5). Round o to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 10*r**2 + 2*r - 2. Let v(p) = -39*p**2 - 9*p + 9. Let f(g) = 9*c(g) + 2*v(g). Let s(x) be the first derivative of -2*x**3\/3 - 130. Determine s(f(l)).\nAnswer: -288*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5628504887.00000753 - -5628504915. Let y = -950 + 922. Let m = x + y. What is m rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 8650*v - 266228.\nAnswer: -2*(v + 31)*(v + 4294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 7, f: 3, p: 5, d: 2}. What is prob of picking 2 p and 1 o?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. Suppose 5*m + 0*z + 4*z = i, 0 = -3*m + 3*z. Is (m + -50 - -1)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 92, 0.3, -0.12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20533.311 - -20572. Round x to the nearest integer.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, c: 4}. Give prob of sequence rc.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 16*u**2 - 20*u + 52. Calculate l(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(6\/7)\/i**(-2\/23))\/(i*i**(3\/8)\/i*i*i**6*i))**(5\/7) assuming i is positive.\nAnswer: i**(-47855\/9016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d**3 + 5*d + 1. Let p be g(-2). Suppose 136 = m - 0*m. Let n = m + p. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/212266 or -1?\nAnswer: 3\/212266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 3*a**2 + 10*a + 14. Determine m(-6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 4*o - 8 = 12*b + 99 + 1, 0 = 4*b + o + 42 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -10. List the prime factors of 1\/(-6) + 2959\/v - 2.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 = -35*l + 389. Let u(x) be the first derivative of -x**2\/2 + 4*x + 1. Give u(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 438 + -433. Solve 5*w = -q*u, -5*u - 4*w = -9*w - 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 = 195*m - 194*m. Suppose m*u = 208*u + 16. What is the remainder when 41 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.05423ml?\nAnswer: 0.00805423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13310034 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1056 and 634688?\nAnswer: 20944704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.084 - -0.384. Which is the second smallest value? (a) 1\/5 (b) -0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**6\/24 - d**5\/40 - d**4\/12 + d**3\/6 + 24*d. Let w(n) be the second derivative of j(n). Is w(-1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*b + b = 21, 0 = 5*i + 4*b - 59. Let u(f) = -64 - i*f**2 + 64. Let d(s) = s**2. Give u(d(r)).\nAnswer: -11*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 + 0 = 0. Let d be -1220001 + f + 0 - 0. What is d rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/60*100\/(-270).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 158283383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*h - 2 + 343*h**2 - 688*h**2 - 76*h**4 - 2*h**3 + 27*h + 347*h**2 to v + t*h**2 + p*h**3 + g*h + s*h**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -213.2 + 213. What is the nearest to -0.2 in z, -4, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 1\/3*j**3 - j - 1\/2*j**2 - 11\/2*j**4 - 3. List the prime factors of f(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -764, -1819, -3648, -6311, -9868, -14379, -19904?\nAnswer: -26503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1957 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o + 3. Determine n(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*f - 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*v + 511 - 4758. Let z = -130 - v. Solve 0 = y + 10 - z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 0*j**3 - 1\/30*j**6 - 5*j**2 + 4\/15*j**5 - 2\/3*j**4 + 0*j + 0. Factor s(p).\nAnswer: -4*p*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**3 + 18*i**2 + 0*i + 0*i - 13*i**2 to q*i + z + h*i**3 + a*i**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r - 23 + 8 - 3*r + r**3 + 14. Let m(d) = 5*d**3 + d - 6. Calculate -m(p) + 3*q(p).\nAnswer: -2*p**3 + 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o + 3*o + 3*o - 1 + 1 + o + 0 + 0 - o + (-4 + 0 + 2)*(-o + 4*o - o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4693 and 125267?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 85443 = 62*w + 161753. Is -4262 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 155 = -3*n. Suppose 5*l + 14 = -n. Let u(i) = i**2 + 10*i + 8. Determine u(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 0*t**2 + 10 + 0*t + 3\/2*t**4 - 3\/5*t**5 + 0*t**3 - 1\/2*t**6. Find s, given that g(s) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**4 + 2*z**4 - 7476*z + 7764*z)*(-2*z + 4*z + 0*z).\nAnswer: -2*z**5 + 576*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 36*c**2. Let n(j) be the second derivative of -19*j**4\/12 + 5*j + 7. Calculate d(n(x)).\nAnswer: 12996*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/41 (b) 0.4 (c) 31\/3 (d) 10\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(63) - sqrt(252)\/sqrt(4))\/sqrt(7))\/(sqrt(300) - sqrt(300)*-1 - sqrt(300)) - 5*sqrt(30)\/(-2*(sqrt(160) - sqrt(10))))**2.\nAnswer: 25\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.00278 rounded to zero decimal places?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:55 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -3 + (sqrt(99) - -3*sqrt(99)) + 4 + sqrt(99)*1 + 4 + -4)*5)**2.\nAnswer: 3000*sqrt(11) + 62275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p**6*p)\/p)**(-1\/59))**(-9\/7))**(-2\/91))**(-4\/21) assuming p is positive.\nAnswer: p**(144\/263081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 29*k - 4*k - k - 4*k - 4*k - 2*k - 1 + 1 + (4 + 0 - 5)*(6*k - 2*k - 3*k) - 2*k - 3*k + 3*k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 858135479 + -610235396. Let a = s + -247900107.9999958. Let o = -25 - a. Round o to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 45*s**2 - 31745*s + 31745. Give g(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29556 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47035 - 22879 - 1906 = -28*w. Is w a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/5)\/((u*u\/(u*u*u*u\/((u*u\/(u*u**(1\/33)\/u))\/u)*u*u))\/u))\/(u**(-6)*u\/u**(8\/11)) assuming u is positive.\nAnswer: u**(1643\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 2:49 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**7\/2520 + t**4\/12 - t. Let i(p) be the third derivative of n(p). Let o(h) = 2*h + 7 - 7. What is o(i(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.21 - -0.21. Which is smaller: -1\/4 or p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 4 - 37)*(0*a + 3*a - 2*a) + (-2 + 2 - 2*a)*(1 - 3 + 3) + (3*a - a - 4*a)*(55 + 5 + 1) in the form h + y*a and give y.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 5*l - 88*l**3 + l**2 + 87*l**3 - 14 + 24*l.\nAnswer: -(l - 2)*(l - 1)*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169483.\nAnswer: 169483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -759 + 758.9. Put 28, -1, t, -6 in ascending order.\nAnswer: -6, -1, t, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(-115))\/((-2)\/2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -107536 divided by -44\nAnswer: 2444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*c - 12, 4*q - 2*c = -2 + 8. Let w(t) be the first derivative of -1\/3*t**q - t**2 + 2 + 0*t. What is the second derivative of w(m) wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from swwswssssssssw.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 190 + -118. Suppose -5*o + 2*d - 120 = 0, -3*o + 2*d - 7*d - r = 0. Let g = o - -40. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 658988, 658992, 658996?\nAnswer: 659000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -20*q + 139. Let f = 446 - q. What are the prime factors of f?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 93757600 and 93757601 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 140.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -4. Let l be ((1 - -3) + -2)\/1. Suppose r*t - 10*t**l - 9*t**3 + t**2 - 3*t**4 - 3*t**3 + 12 = 0. Calculate t.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 0. Let u(v) be the second derivative of -v**3\/2 - v**2\/2 + 5*v. Calculate the remainder when u(a) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 at most -1331928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vioxpog. What is prob of sequence xgi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c - 4*c + 1 + 7*c to d + m*c and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-5) + (-16)\/(-40) + (-460)\/(-90).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, t: 3}. Give prob of sequence qttq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - q**2. Let l(t) = t + 5. Let p be l(-4). Let d be h(p). Is d + 28 + (-2)\/1 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**4\/12 - 58*x**2. Let f = 2 + 2. Let z(j) = j - f*j - 2*j. Calculate q(z(g)).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 10:27 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, l: 3, a: 6, i: 3}. Give prob of picking 1 w and 2 a.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -24*d - 3. Determine f(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 4 (b) -0.04 (c) 5 (d) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*i = -1234 + 498 - 792 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 448837811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -31*v**6\/6 - v**2 - 3*v + 199. What is the second derivative of z(x) wrt x?\nAnswer: -620*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 - 51. Let y be (3 + -3)\/(-1) + -10. What are the prime factors of (-15)\/(n*(-2)\/y)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/12*36\/20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-21) - 26\/70) + (-1128)\/(-1260)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(84)\/sqrt(3)*1)\/(sqrt(12)\/sqrt(3)*-5).\nAnswer: 3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433948601.\nAnswer: 6911, 62791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y + 3*y - 5*y + 952 - 951 to the form h*y + o and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8*(-52)\/(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -3*s**3\/2 - 47*s**2\/2 - 4871*s. Determine r(-10).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/22 (b) -2 (c) 1.1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*w - 26661, 2*w - y - 8173 = 9594. Suppose -3*i = -8*i + w. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/9 of a day?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23841848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8398, -15336, -22284, -29248, -36234, -43248, -50296, -57384?\nAnswer: -64518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - c - 6. Determine j(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 5. Let w be j(2). Suppose -12 = -4*s + w*r, 0 = s + 3*r + 13 - 1. Does 1 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -110 (b) 1\/57 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97*p + 954*p - 15*p + 289*p to the form n*p + f and give n.\nAnswer: 1131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 31, -627, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/((sqrt(77)*1)\/sqrt(11) + sqrt(7)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13406027.\nAnswer: 13406027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 7\/10*y**5 + 0*y**2 - 3\/2*y**4 + 2\/3*y**3 - 17 + 3*y. Let c(j) be the first derivative of m(j). Find k such that c(k) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and -7230950?\nAnswer: 137388050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10 = -0. Suppose -4*d = 3*q - 23, m*d + 6*q - 29 = q. Solve -d*f + s - 4 = -2, -4*f + 8 = 4*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**2 + 203519268*s - 5177511555906978 = 0?\nAnswer: 50879817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*o + 4*j + 8855, 5291 = 3*o + 5*j. List the prime factors of o.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 604*y - 604*y - y**4 + 2 + 14*y**2 as a*y**4 + c*y**3 + p + g*y + n*y**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 34866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -1\/4, -3, 0.5, -2\/3 in ascending order.\nAnswer: -3, -2\/3, -1\/4, 0.5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -3 + 2 + (64 - 73) + -20?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 2 - (-5 + (-11 - -10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3780 or -1?\nAnswer: 3780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3) + 16\/6. Let t = s - 0. Suppose t*u = 9 + 9. Calculate the greatest common divisor of 54 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**6\/120 - x**5\/10 - 3*x**3\/2 - 13*x**2. Let o be a(7). Calculate the greatest common divisor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -496 divided by 2746739.\nAnswer: -496\/2746739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (552\/(-644))\/((-15)\/(-70))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 0 + 1\/70*z**6 - 26*z - 6\/35*z**5 + 15\/28*z**4 - 24\/7*z**2 + 4\/7*z**3. Find v such that r(v) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 + 2*h**2 - 2 - 13*h - h**2 + 4*h to f*h**2 + a + u*h and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 8*h**2 - 9*h + 5. Suppose 4*s + 23 = -5*l, 4*l = 4*s + 5*l + 27. Let a be y(s). Solve -2*c = -4*w + 18, 4*c - a = -0*w - 3*w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(-31)*f)*f)\/f**(-31)*(f*f*f\/(f\/(((f*f*f**5*f)\/f*f)\/f))*f)**48 assuming f is positive.\nAnswer: f**544","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.56 - 1.26. Let v = 15.6 + g. What is v rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -46\/15 (b) 2\/3 (c) 5 (d) 1.5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2. Let v(j) = 2*j. Determine n(v(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) 1 (b) -1\/150 (c) 1\/4 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 0*r - 6 - 3*r - 3 + r. What is the lowest common multiple of 11 and u(-8)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 26. What is r(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5515?\nAnswer: 5, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 9799030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 8\/9*g - 2\/9*g**2 = 0. Calculate g.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-8) - 1413\/(-12). Let d = n - 60. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/2)\/(b*b**(-2)))**12)**(11\/4) assuming b is positive.\nAnswer: b**(99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*(-319)\/22*(-1 - 1191\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3533551 a multiple of 1057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 14*k + 102. Let x = 23631 - 23638. What is q(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -2*w**2 - 1. Let n(l) = l + 1. Let g(o) = -5*o - 6. Let f = -29 + 30. Let m(r) = f*g(r) + 6*n(r). Calculate m(c(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364945921.\nAnswer: 761, 479561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*s, s + 1036 = 5*b + 3*s. Calculate the highest common divisor of 26 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 19*y**2 + 2*y + 5. Let q(w) = -29*w**2 - 3*w - 7. Let b(x) = 3*n(x) + 2*q(x). Let u = 4 + -6. What is b(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -137, -173, -45, 319, 991, 2043?\n\"Answer: 12*s**3 + 10*s**2 - 150*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.6 + 1.5. Let k be 2\/(-8)*((-26 + 7 - -11) + 8). What is the nearest to k in 5, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.00395203236 - 21.99604855764. Let w = 0.05 + -22.05. Let u = p - w. What is u rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 5*q. Let v(l) = l - 1. Calculate s(j) - 3*v(j).\nAnswer: j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47182633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 - (6 - 10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 4*k. Let g = -16 - -11. Determine w(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2727 is divided by 177?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 16*k**2 - 26*k - 628. Calculate m(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33911573 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12112100221011 + -1?\nAnswer: 12112100221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i\/(i**1\/i))\/i)\/(i\/(i\/i**(1\/5))))**(16\/3))**25)**(3\/5) assuming i is positive.\nAnswer: i**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d87 (base 14) to base 5.\nAnswer: -133121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4\/2 + q**3\/2 + 6*q**2 - 14*q + 8 = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163524.\nAnswer: 2, 3, 13627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 4. Suppose -7*x = -2*x - 10. Let n(l) = -f + 9*l + 2 - l**x - 4. Calculate n(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - l - 135 = -4*z, -l + 117 = 4*z. Let h be 2\/7 - 232\/z. Let q be (-2)\/4*(h - -5). What is the second biggest value in q, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -47\/3. Let r = 0.0414 - -0.0586. What is the second biggest value in 0.2, r, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**4 - 81*t**3 + 1433*t**2 + 5053*t - 2. Let x(a) = 4*a**4 - 325*a**3 + 5731*a**2 + 20217*a - 9. Let k(c) = 18*w(c) - 4*x(c). Factor k(b).\nAnswer: 2*b*(b - 41)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -553810005 divided by 245?\nAnswer: -2260449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110222222 (base 3) to base 15.\nAnswer: -3a468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 116 = -0*m - 2*s, 60 = 594*m - 593*m - 2*s + 3*s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20918, -20837, -20760, -20687?\n\"Answer: -2*w**2 + 87*w - 21003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 8:50 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2090298, -4180601, -6270904, -8361207?\n\"Answer: -2090303*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14797, -14814, -14833, -14854?\n\"Answer: -f**2 - 14*f - 14782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75 - 14*u + 75)*(-5*u**2 - 4 + 2*u**2 + 6*u**2) to the form k*u + q*u**3 + p + r*u**2 and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 5)*(-6*d**2 + d**2 - 2 - 26*d**2) in the form f + y*d + c*d**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 725447688 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 12 = -2*n. Let m be (n\/(-20))\/(9\/(-12)). Let f be 68\/(-204) - 46\/(-102). What is the closest to -2\/5 in f, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 4*w - 29, 99*l - 97*l + 7 = 3*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-10 - 1535\/(-85))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-630 - -682 - (10 + -1)) + 20?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8022619*i**2 - 9856665.\nAnswer: -16045238*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w + 7*w + 5 + 3*w - 4*w**2 - w**3. Let s(x) = -x - 9. Suppose -2*d = -4*y + 24, -2*y = -3*d - 0*y - 20. Let h be s(d). What is q(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001132 to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 10*y - 1 = 0. What is the hundreds digit of ((y - -1) + 2)\/(-2) - -195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2434 - -2433. Which is the nearest to g? (a) -0.1 (b) 2\/5 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = 4*m. Let u be (6\/m)\/(6\/(-8)). Suppose 44 = -0*g + u*g. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 17 = -2*h + 5*v, -3*h + v - 187 = -5*h - 11*h for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - l = 8, -3*d - 5*l + 14 - 6 = 0. Let g be 1 + (57 - d\/2). Calculate the greatest common divisor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 408.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2522770?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2200 by -10.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 420 + -365. What is the remainder when n is divided by 35?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 8202 and 57411\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 868204192 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 7 - 25. Let x be (r + 1)\/(-7 + 5 + 0). Solve x + 1 = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 + 1\/2. Suppose y = -2*f, f - 27 = 6*c - 3*c. Let v = -4 - c. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 8*l - 21. Let c be y(-10). Let h be (5 + -3 + c)*11. Let f be h\/(-66) - (-1)\/(-12). What is the second smallest value in 0.5, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230 and 43390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-17))**(-15)\/(t**16*t**(-2\/21)) assuming t is positive.\nAnswer: t**(4706\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 2, -3, -14 in decreasing order.\nAnswer: 18, 2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 452 divide 97287559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Suppose -f*k + 3 = 3*z, 5*k + z = 3*z + 5. Let j = -2124\/13975 + -2\/1075. Are j and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.303, 4, -1.564?\nAnswer: -1.564","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 64, 132, 200, 268, 336, 404?\n\"Answer: 68*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -396 + -11.32123?\nAnswer: -407.32123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Let g = 3.9 + -6. Let m = g - -1.8. Which is the second smallest value? (a) 3 (b) o (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 20*h - 23. Let c be i(19). Let s(d) = d**3 + 6*d**2 + 2*d - 15. Let x be s(c). Is -1 + x\/(18\/6328) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 114*w - 11 + 115 - 85*w - 16*w. Calculate k(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + 8. What is the smallest common multiple of (-38)\/570 - 408\/(-45) and u?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/26)\/r)\/(r**(-17)*r)*(r**(2\/29)*r)\/((r\/(r**(9\/8)*r)*r)\/r) assuming r is positive.\nAnswer: r**(51509\/3016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 109717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in -21, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 176 + 527 = 0. What is the least common multiple of s and (-24)\/(-4) + (3 - 0)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 129003894.\nAnswer: 129003899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1826971 times -6\nAnswer: -1.0961826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30529525, 30529521, 30529517?\n\"Answer: -4*w + 30529529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 1 = 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b100 (base 13) to base 4.\nAnswer: 312300013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.896+-0.11327705539\nAnswer: -2.00927705539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlljlijid. What is prob of sequence jill?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34659, -34690, -34721, -34752, -34783, -34814?\nAnswer: -34845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*r + 107*r + 45*r + (-2 + 1 + 2)*(-r + 4*r - r).\nAnswer: 170*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 878, 895, 916, 935, 946?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 104. Determine b(-43).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**2 - 28580*y - 6492615 = 0.\nAnswer: -5479, -237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1, -5, 2, 4 in increasing order.\nAnswer: -21, -5, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 5)*(-10 - k + 3 - 8).\nAnswer: k + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 2:50 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1424, -0.11, -0.2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 635\/254*4\/(-195) + 8547\/117?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47077553.\nAnswer: 41, 787, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -4230 + 1470. Calculate the highest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 3*j**3 - 3*j**3)*(-6*j - 4*j + 4*j - 1).\nAnswer: 6*j**4 + j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 2*q - 3525 = -3475, 4*w + 71 = 3*q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 divided by -1?\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 897438, 897457, 897476, 897495?\n\"Answer: 19*p + 897419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63173144.\nAnswer: 2, 293, 26951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-999)\/(-324)*10*(-104)\/260\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 55*a. Let z(r) = 9946*r. Determine z(p(t)).\nAnswer: 547030*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 48635, 87749, 126863, 165977, 205091, 244205?\n\"Answer: 39114*x + 9521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*d = -3*m + 2, 5*m = -3*d + 21. Let o(v) = m*v + 10 - 2*v + 0*v. Let b be o(-8). Solve -2*r - 1 = 4*k + 1, 0 = 4*r - b*k - 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-7 - -3) + 5. Which is the smallest value? (a) 1\/5 (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2*s + 1 = 3, 4*s - 4 = 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0 - 2. Let p = 3 + -1. Suppose 3*m + 3*z = 2*m - 4, 0 = -3*m + 5*z + p. What is the nearest to m in d, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005372 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + (24 - 2) + (-4 - 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 110.338 * 1.96\nAnswer: 216.26248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 0*k**3 - 2\/21*k**7 - 1\/4*k**5 + 17*k**2 + 0*k**4 + 0*k**6 + 0 + 0*k. What is the third derivative of a(t) wrt t?\nAnswer: -480*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(1\/42))\/y)\/y**(-2\/37))\/(y**(-1\/18)*y*y**(-5\/12)\/y) assuming y is positive.\nAnswer: y**(5129\/9324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-12)*a*a)\/(a**(-3)\/a))**(2\/35))**(-7) assuming a is positive.\nAnswer: a**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 378 = 5*l, 0 = -2*l + 2*i + 3*i + 165. Let d = 81 - l. Suppose -d*g = -g - 13150000. Round g to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 + 3*j + 4. Let y be (-252)\/56 - 3\/(-2). What is z(y)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 95079 and 94765 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(1\/2)))\/(q**(-2\/7)*q)*q**4*q**(-5)*(((q\/(q*q*q*q*q**(-1))*q)\/q)\/q*q)\/q*q**7*q*q**(1\/3)\/q**(1\/2) assuming q is positive.\nAnswer: q**(55\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3015 is divided by 2083?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/105 of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43383 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-15)*28\/(-36). Let g = -8\/15 - n. Let x be 0 - 0 - (-184)\/(-230). Sort x, g, 4 in descending order.\nAnswer: 4, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0 - 3 = 0. Let b be (-1)\/m*-3*6. Let w(c) = 29 + 0*c - 14 - c - 13. What is w(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/3)*a*a\/a**6*(a\/(((a*a*a**(-2))\/a)\/a)*a)**(-30) assuming a is positive.\nAnswer: a**(-370\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -845 + 842. Let j(x) = x**2 + 13*x + 27. Let o be j(t). Sort 10, -2, o in descending order.\nAnswer: 10, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077\/(-1 - (48\/21)\/(-2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*j - 3. Suppose -3*s = 2*z - 20, 12 = -2*s + j*z + 2*z. Suppose r - 9 + s = 5*p, -p - 5*r = -25. Solve q - 5 = -p*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, i: 4, d: 4, b: 3}. Give prob of sequence bd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -40. Which is bigger: 2\/3 or v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/2 - -5 - -4. Let g = i + -2. Calculate the common denominator of 38\/15 and (g + 62\/120)*-2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/(-20)*(-4)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.2 times -73?\nAnswer: -9358.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2388130 and -265.\nAnswer: -632854450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 29655 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 20 = 5*r, 291*c + 16*r = 290*c - 117 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2880, 11510, 25894, 46032, 71924, 103570?\n\"Answer: 2877*q**2 - q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-18))\/(((-8)\/216)\/((-1)\/(-6))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1897617133891 - 0.4\nAnswer: -1897617133891.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 11*m**2 - 2*m + 52. Let a be q(11). Let l be 2238\/a - 15\/25. Which is smaller: 73 or l?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*(5 + sqrt(700) + (sqrt(700) + 1 + sqrt(700) - sqrt(700))**2 + -1) + 2*(5 + (sqrt(28))**2 - -1*sqrt(7)*2)*-1).\nAnswer: -2886 - 124*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 1155315678.5.\nAnswer: 1155315674.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.023466? (a) -6\/5 (b) -22 (c) -0.1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y. Suppose -4*m + 12 = -4*q, 2*m - 21 = -2*q + q. Let o = m - 1. Let w(z) = 0 - 2 + o*z + 2. What is -24*h(j) + 3*w(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 16 + 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j**2 - 16*j + 12. Let p be m(6). Find the common denominator of -57\/10 and ((-4)\/40)\/(56\/p).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 - 4*q**2 + 2*q**2 + 2*q**2 - 2*q**2 + q**2 + (-3 + 3 + 2*q)*(0*q + 0*q + q) - 6*q**2 + 2*q**2 - 6*q**2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -184, 3 in ascending order.\nAnswer: -184, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-6.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**2\/2 - 7. Let o(y) = -18*y + 2. Calculate o(v(d)).\nAnswer: -18*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 753163043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2 + 35552461*h + 46382790 with respect to h.\nAnswer: -2*h + 35552461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*l**2*n - 2*l**2 + 10728*l*n + 12*l + 134*n + 2108 wrt l.\nAnswer: 14*l*n - 4*l + 10728*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 186 + 16 + 107 - 59 + 121*g + 193 wrt g?\nAnswer: 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from kktkt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3 + 8 + 2 - g + 10. Calculate the remainder when p(5) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120001001211 - -210?\nAnswer: 120001002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4532*l + 5087. Is h(106) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5488 and 1232?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p + 18. Let a(s) = s + 17. Let g(b) = -6*a(b) + 5*x(b). List the prime factors of g(8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047.263 months in centuries?\nAnswer: 1.7060525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.39 + 0.59. Let m = -5.2 + r. Let x = -9\/4 - -17\/8. What is the third smallest value in x, m, 2\/3, -10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20946092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5455*-47.\nAnswer: -256385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47358605285 - 667.3.\nAnswer: -47358605952.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and 1?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 1. Let x(b) = 2*b**2 - 7*b + 5. What is the remainder when x(o) is divided by (12\/5)\/(1\/5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from mlcmalamasaoms?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = r - 6. Calculate the remainder when 161 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 6*m - m)*(-2*m + 3*m + 4*m)*(-2 + 0 + 6)*(4*m - 3 - 6*m - 1) in the form s*m**3 + p*m + r*m**2 + b and give s.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 141015 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 10. Suppose 0*r = -r. Suppose r = g*b + 32 - 207. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15665 divided by -45.\nAnswer: -3133\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101110222220 (base 3) to base 13.\nAnswer: -3558c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-3) - (32\/36 + -1). Put 2, 0.1, h, -0.5 in decreasing order.\nAnswer: 2, h, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 743?\nAnswer: -743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/11)*v**(-5\/6))**(-44))**(-39) assuming v is positive.\nAnswer: v**(-1118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 50. Let a(f) be the first derivative of 2*f**3\/3 - 38. Give a(j(o)).\nAnswer: 2*o**2 - 200*o + 5000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*g + 2341 = -201*g + 523 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - z = 786, -15 = -3*z - 2*z. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000000 + -10100010001010100000?\nAnswer: -10100010000101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwmw when four letters picked without replacement from {e: 4, w: 3, a: 2, c: 2, m: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1895*f**4 + 0*f**2 + 0*f + 2*f + 1894*f**4 - 7*f**3 + f**2 as u*f**4 + r*f**2 + i*f**3 + j*f + y and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a - 2 + 3 - 3*a + 1. Suppose 9 - 30 = 7*o. Let r(w) = 3*w + 3. Determine o*r(x) + 5*d(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 1221 - 1204 = 3*h, 2*h - 12 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*l = -2*r + 99, 4*r - l - 207 = 0. Let c = 71 - 121. Let k = r + c. Solve m - k = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26.3 + 1.3. Let v = 24.9999905 + i. Round v to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*j + 11*j + 5*j**5 - 5*j**3 + 2*j**5 + 5*j**3 + (-j + j + j**4)*(2 - 2 + j) - 4*j**4 + j**5 + 4*j**4.\nAnswer: 9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 129*r + 38*r.\nAnswer: -93*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 26*t - 21. Let d(b) = 111*b - 691. Let o be d(6). What is n(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.000009 + 11. What is n rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7500 divided by -27\nAnswer: -2500\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (11*1)\/((-4)\/(-8)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -78\/77 < -158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 3*u**2 + u + 4. Let r be z(-5). Let j = 56 + r. Suppose 6*t - 2 = j*t. Solve -d + 6 = -b, 18 = -b - 3*b - t*d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1234094604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5682*s + 5684*s + 3 - 4)*(35 + s**2 - 35).\nAnswer: 2*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44, 47, 44, 29, -4?\n\"Answer: -u**3 + 3*u**2 + u + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, t: 6}. Give prob of picking 1 t and 1 e.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723139 a multiple of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 9516*j**2 + 9133*j**2 + j as f*j + x*j**2 + p and give x.\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23944912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70231 is divided by 35100.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i + 3*i**2 + 9*i - 2*i - 8 + 9*i. Let d be a(8). Suppose t - 7*t = -d. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 0, 13 + 135 = 4*i - 5*n. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -17 - 7. Is 1\/(-3) - (-160)\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 447 + 447 + 5*r. Let v = -1 - 0. What is o(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i + 8*i + 2*i - 14*i. Suppose 2*o - 3*u + 5 = 0, -3*u = -5*o - 4*u + 13. Let w(z) = 12*z + o - 2. Determine h(w(y)).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 52?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z = 22*z - 777. What is the remainder when z is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 9:19 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2652295\/58 + 45729. What is the common denominator of (-2)\/(-4) + (-174)\/(-16) and m?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000025103 to seven decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.026? (a) -5\/2 (b) 5 (c) -0.4078 (d) -10 (e) 0 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3720 - 322 - 3258 - 7344 + 1701)*(-2*t + 1 + 4*t + 0*t).\nAnswer: -25886*t - 12943","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r + 25*r - a = -19, -r + 12 = a. Solve 8 = -5*y - r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**6\/120 + 9*o**4\/8 + 19*o**3\/3 - 36*o. Let k(f) be the second derivative of x(f). Factor k(i).\nAnswer: -3*(i - 3)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -9, 5, 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + v + 3 = 0, 4*v - 6*v + 9 = 3*g. Let c(r) be the first derivative of 0*r - r**3 - 3\/2*r**2 + g. What is the second derivative of c(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7594*0.8492\nAnswer: -6448.8248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 1:45 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-7320)\/1079700)\/(2\/(-20)*-2)\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**3 - 3*w**2 - 8*w**2 + 13*w**2 + 2 + w + 3*w to x*w + a*w**3 + g + s*w**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/15)\/x*x*x**7)\/((x*x\/(x*x\/(x\/x**(-2))))\/((x\/(x*x**(-1\/5)))\/x)))**(19\/4) assuming x is positive.\nAnswer: x**(247\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -30476931.\nAnswer: -30476928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (1 + (15 - (-14 - -32) - -8) + -91)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*v + 624, -2*b + 242 = -3*v + 864. Let t = 220 - v. Calculate the highest common divisor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/9 (b) -27 (c) 3 (d) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 3. Let w(z) = 2*z**2 - 4. Determine -2*j(u) - 3*w(u).\nAnswer: -4*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8219?\nAnswer: 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/23 in -0.2, 3\/4, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = -6*s - 48 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5053434, -5053430, -5053422, -5053410?\n\"Answer: 2*w**2 - 2*w - 5053434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 12:58 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i - 2*i - 6 - i - i**2. Suppose 2*q + 5*o - 2 = 0, 2*o + 8 = 4*q + 4. Suppose -119*z - 18 = -114*z + 3*k, k = -q. What is n(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*l - 7, -5*o - 6*l + 5*l + 20 = 0. What is the remainder when 35 is divided by 13 + ((-2)\/(-1) - o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -621*o + 59630. What is y(96)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -0.5 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4 rounded to 2 decimal places?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1 - (-21 + (-24 - -20 - -33)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*b + 237*b + 341 - 121*b - 2*b**2.\nAnswer: -2*b**2 + 341","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(3388) + 1)**2 + 1 - (3*(-1 + sqrt(3388)) + (sqrt(3388) + -2 + -1 + sqrt(3388))**2)) + -5)*-6.\nAnswer: -1716*sqrt(7) + 61020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, q: 4}. What is prob of picking 2 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5374 + -5374. Solve -z = 5*j - 5, v*j = 5*z + 3*j + 19 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23627.08557 to the nearest integer.\nAnswer: 23627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1064*a + 701*a + 699*a - 2739*a.\nAnswer: -275*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 5*i**2 + 5*i + 19. Let t be v(-5). Does 7 divide 2 - -289 - (48\/t - -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3382 - -3397. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + h. Let c(s) = -2*s**2 - 3*s. Let u(o) = -c(o) - 3*j(o). Let p be u(0). Solve g + p = 5, 25 = z + 5*g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6007550 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 53645.32?\nAnswer: 53648.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 12*j - 1971. What is the remainder when j is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - u + 0 + (-7 + 3 + 3)*(-1 + u + 1) - u - u + u + 431*u - 64*u + 40*u to the form l*u + v and give l.\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -34. Let j be 3*1 - m\/5. Suppose -3*b = -b - j. Solve 2*l - 4*s - 13 - 17 = 0, b*s + 15 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/555, -2\/221, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j - 7. Let a be (-16)\/(-3)*57\/(-38). Let q be v(a). Let t(g) = -2*g**2 - q*g + 2*g + 7*g. Let h(i) = -i. Calculate h(t(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1c2 (base 14) to base 4\nAnswer: 11232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.3, 0.07, -17, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**3 + 9*y + 0 - 5\/2*y**2. Calculate the least common multiple of i(-2) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 36\/(-8))*(-410)\/(-15). Let o = 45 + r. Round o to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m**2 + 75*m - 195. Let u be w(6). Solve 886*k + 4 = -5*o + 888*k, -u*k = -5*o - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185421.01 rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o. Let f(c) = -c**2 - 6*c + 8. What is h(f(s))?\nAnswer: -2*s**2 - 12*s + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, -4, 63088295 in decreasing order.\nAnswer: 63088295, -1.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - 0.02. Let k = 2 + -1. What is the closest to x in -5, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*d**2*t**3 + 165*d**2*t**2 - 5*d*t**3 + 818158*t**3 wrt d?\nAnswer: 130*t**3 + 330*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 3:56 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.18 * 114924.\nAnswer: -135610.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(62 - 671*j - j - 167*j - 65 + 86*j).\nAnswer: -753*j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 216076.05 months in years?\nAnswer: 18006.3375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.32 - 0.58. Let u = t + 0.16. Let l be (-4)\/(-18) + (-2)\/(-72). What is the closest to u in l, 5\/2, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 7, -0.8, -3\/2, -3\/4, 594?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9 = -t. Let r be 2\/((-1)\/(t - 4)). List the prime factors of 4\/2 - -2 - r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.56585 millilitres to litres.\nAnswer: 0.08156585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -67b5719 - -6?\nAnswer: -67b5713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 + 4*q**2 - q**2 + (-2*q + 2*q - 2*q)*(-q + 4*q - q) + (-4 + 4 + 2*q)*(3 - 1 - 1)*(-9 + 9 - 3*q).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1347828136 divided by -2.\nAnswer: 673914068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -226 - -242. What are the prime factors of s*21*(18\/4 + -3)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2)\/q)**(-42)*(q\/q**(-1\/3)*q*q)**(-2\/9)*(q*q**(-8\/3)*q**7\/q)**(-3\/7) assuming q is positive.\nAnswer: q**(3478\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-35059.358\nAnswer: 10517.8074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*s - 37, 6*s - 4*s + 2 = -4*o. Let r = 92 + s. Is 74*r\/15 - (-2)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0019986ml?\nAnswer: 0.0000019986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0*g. Suppose 3*j = -g*j. Let a be 1*j*(-3)\/(-6). Solve -1 = f - a*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2249247871?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5\/2 + 672*h**4 - 1337*h**3\/2 - 4029*h**2 = 0. What is h?\nAnswer: -2, 0, 3, 1343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/14 + 37\/616. Is s equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 88677260.\nAnswer: 443386300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g + 4. Let d be (30\/24)\/(3\/g). Is d at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5038824642 + 5038823921.0000323. Let t = z - -721. What is t rounded to six decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 10424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from {m: 1, s: 2, f: 3, h: 7, d: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 2*j**2 + 15*j - 6. Let d be w(-5). Let u be (-6)\/(-10) - (-2)\/5. Let q(i) = -u + 3 - 3 + i. Let h(k) = -5*k + 3. What is d*q(f) - 2*h(f)?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294 - 591.7.\nAnswer: -297.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 + 63. Let k(z) = -z**2 + z + 3. Let q(a) = a + 4. Let t(g) = -4*k(g) + 3*q(g). Let u(f) = 21*f**2 - 5*f. What is l*u(x) - 11*t(x)?\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 892.2 - 892. Sort 3, u, 4, -0.5 in increasing order.\nAnswer: -0.5, u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = 4 - 144. Let s(f) = 2*f + 8. What is s(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from {x: 1, w: 2, z: 2, a: 1, i: 5, o: 4}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 921649402 rounded to the nearest ten thousand?\nAnswer: 921650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 17820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -3, 4.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b55021 (base 12) in base 5?\nAnswer: 1212140442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 2*a - 8. Let i be (a - -1)*(-26 - -22). Suppose -o - 5*j - i = 3, -4*o + 16 = -2*j. Solve 0 = o*k - 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/154*4\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 + 10*r**2 + r + 5. Let j be h(-5). Suppose j = -2*k + 2, 0 = 3*l - 0*l + 3*k - 219. Is l a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.019128638973+0\nAnswer: 0.019128638973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24988 or 24986?\nAnswer: 24988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2 - 22. Let j(f) = -f**2 - 8*f - 1. Let y be j(v). Let m = 2 - y. Solve 6 = -0*b + m*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -15*u + 16*u. Calculate the remainder when u is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-16\/3)*(a\/(a*a**(2\/3))*a)\/a**0 assuming a is positive.\nAnswer: a**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7541 is divided by 1884?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 = 7, 0 = -2*l + 3*q - 10. What is the lowest common multiple of 1815\/60 - (-9)\/12*l and 11?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 less than -140?\nAnswer: -141.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247562 is divided by 536.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9*-21542\nAnswer: -193878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 23*w**2 + 24*w. Let l be r(24). Suppose -2*n = 5*q - 18, 4*n = -l*n + 16. Factor 0*h + 0 - 3\/4*h**q.\nAnswer: -3*h**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**4\/24 - 5*c**3\/3 - 3*c**2. Let a be r(-13). Let g(l) = 1 - 2 + 3 - 41*l + 84*l - 41*l. Determine g(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2595 is divided by 83?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1727.595 weeks in minutes?\nAnswer: 17414157.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12233242 (base 5) to base 3.\nAnswer: -12222210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.25, 56\/13, -0.37 in decreasing order.\nAnswer: 56\/13, -0.25, -0.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 - 2*q - 10. Let c be a(-6). Suppose -9*v + 11*v = c. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = 8 + 8. Let w be k - (2 + -585) - (5 + -2). What is w rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4428301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 2*g - 3*g)*(-3 + 4 + 1)*(-1 + 1 + 2 + (-1 + 1 + 2)*(-3 + 2 - 1)) in the form n + y*g and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6933*a**2 - 2 + 1.\nAnswer: -6933*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15567)\/(-4) - (1 + (-2)\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -298, -8, 4, -2, 3, -7 in decreasing order.\nAnswer: 4, 3, -2, -7, -8, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/33 + (-145)\/(-3). Let t be (2 - i)*(-2)\/(-4). Let d = t + 114. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20604539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auueeyyoooueay. Give prob of picking 2 e, 1 y, and 1 o.\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-15)*12\/(-6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7918, -15840, -23764, -31690, -39618, -47548?\nAnswer: -55480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t - 9. Let a be h(6). Let j be (-105)\/90*9\/(-14)*96. Suppose x - j = -a*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, d: 2, y: 4}. Give prob of sequence jd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*z - 7*q - 30, -4*z - 14 = -q. Let l = -15 - -13. Let s = l - z. Solve -4*u - s = 18 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -23*i - 2*i**3 - 2*i**2 + 23*i. Let p be x(-3). Let l(d) = d**3 + 7*d**2 - 66*d - 60. Let s be l(-12). What is the highest common factor of p and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m**3 - 4*m**2 - 5*m + 122. Let t(b) = 5*b**3 + 3*b**2 + 4*b - 123. Let a(g) = -4*f(g) - 5*t(g). Is a(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -78, -98, -124, -156, -194, -238?\n\"Answer: -3*t**2 - 11*t - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0 + 0)*(3*m**2 + m**3 - 3*m**2) + 2*m**4 - 3*m**4 + 0*m**4 - 2 - 2*m**4 + 2 - 2*m**4 + m**4 - m**4 + (-3*m + 3*m + 2*m)*(m**3 + 5*m**3 - 5*m**3).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010212 + 120?\nAnswer: 2011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*u - 8. Let v(r) = 10*r - 136. Is v(u) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7336264 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 5*p**2 + 2*p + 12. Let h(z) = -z**3 - 2*z**2 - 6. Give -5*h(c) - 2*v(c).\nAnswer: 3*c**3 - 4*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 955 divided by 1173\nAnswer: 955\/1173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/81))\/v)**37 assuming v is positive.\nAnswer: v**(74\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -815, -791, -765, -737, -707?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in 0.1, 2\/5, -2\/383, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 2*u**2 - u + 31. Give m(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1985307.3 times 0.5?\nAnswer: 992653.65","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 12 = -k, 0 = -2*k - m - 0 - 1. Let p be ((2 - -2)\/(-2))\/k. Which is greater: 0.33 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 118978 and -238.\nAnswer: -28316764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -10*k**2 + 970*k + 10519. Calculate l(-11).\nAnswer: -1361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 135911666?\nAnswer: 1\/135911666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*m - 2560 - 44267 = 1626*m + 51*m for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 + 10*q + 29. Let v(c) = 2*c**2 + 25*c + 14. Let l be v(-12). Let n(j) = -j**2 - 3*j - 10. What is l*b(i) + 7*n(i)?\nAnswer: i**2 - i - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 1, z: 1, t: 2}. Give prob of sequence yd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 4*o + 15. What is the remainder when v(-10) is divided by 2\/(-4) + 234\/12?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 520*d**4 + 5*d**3 - 34*d**2 - 5*d + 2347. Let t(p) = 520*p**4 + 4*p**3 - 28*p**2 - 4*p + 2349. Let f(a) = -4*q(a) + 5*t(a). Differentiate f(j) wrt j.\nAnswer: 2080*j**3 - 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n - 84. Let j be z(14). Solve j = 2*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*f**3 - 82 + 82 - 46*f**3.\nAnswer: 189*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102111 + -12?\nAnswer: -1102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o - 5*u = 577, -3*u = -5*o + 983. What is the remainder when o is divided by 182?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -12, 1539\/25?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000682061 rounded to 7 decimal places?\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1362 - -290105\/213. Let i = d + 220\/1491. Calculate the common denominator of -57\/7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(2\/9 - 706\/18). Let m = -110 + n. Calculate the remainder when m is divided by (-2 - 66\/(-4))*2.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 172\/20 + (-6)\/(-15). Let d = -11 + l. Does 29 divide (116\/6)\/(d\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 10*c**3 + 24*c**2 + 32*c - 128.\nAnswer: (c - 4)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*r**2 + 8*r**2 + 14*r**2 - 4*r + 6*r**2.\nAnswer: 4*r*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1314 - -3198. List the prime factors of w.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 3*j, -94*h + 12 = -95*h - 5*j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwwjkue. Give prob of sequence kjw.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 8*y - 3*p + 27, 2*y + 1475*p = 1480*p - 21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120313233 - -32122?\nAnswer: -120221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*w = 56*w + 391*w - 3864 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 10*h**2 - 9*h + 3. Suppose -3*v = -7*v + 36. Let q be n(v). Solve -2*w + q = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 13, -1, 5067, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 1)*(3 - 1 - 3)*(2*l**4 - 2*l**4 - 2*l**4) to the form c*l**3 + z + r*l**4 + w*l + n*l**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 34 - 24. Solve -v*y = 13 - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c - c - c. Let x be 6\/9 - 20\/(-6). Let k(i) = -2*i - x + 4. Give o(k(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -121 + (-8 - (-8 - (-10 + 29 - (6 - -2))))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 63.36273 nanograms?\nAnswer: 0.00000000000006336273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -3*h - 20. Suppose -15*u + h*u - 14163 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -6. Let l(a) = 10 - n*a + 1 + 2*a. Suppose j = 5*r + 12, 2 = -r - 3*j + 6. Let q(x) = -x + 2. Calculate r*l(o) + 11*q(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91421?\nAnswer: 11, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3549 + 7129. What is the highest common divisor of j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*g = -379*g + 111*g + 1468 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 111*i**2 - 27*i + 13. Is g(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000921204 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138.46 + -137.96. Let q be 1\/(-2) + (-11)\/(-16). Let j = 0.7 + -1.7. Which is the nearest to j? (a) l (b) q (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29092274 to the nearest integer?\nAnswer: 5394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3623 (base 10) to base 16.\nAnswer: e27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-18)*(7 - 5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/30730 and 101\/128991370.\nAnswer: 902939590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5101033 to the nearest integer?\nAnswer: 2259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) -4\/5 (c) -1\/3 (d) -130 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.2. Let s(v) = -v**3 - 8*v**2 - 12*v - 15. Let r be s(-6). Let g be ((-2)\/(-12))\/(r\/45). Which is the closest to k? (a) -1\/6 (b) -0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-15)\/12)*2. Let o be -7 + -4*2\/x. Let g be (-28)\/o*48\/56. Solve 2*s + r = -3*s, -4*r = g*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/17 (b) -4 (c) -3\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + z = -14, z + 1 - 3 = 0. Suppose -44964200 = -y*f - 9764200. Round f to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.5 + 0.132.\nAnswer: -4.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 537 + ((-54)\/(-36))\/((-1)\/(-2)). Let c be 40\/b - 2\/27. Factor 20\/3*s**3 - 50\/3*s**2 - 2\/3*s**4 + c + 0*s.\nAnswer: -2*s**2*(s - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 5*p**2 + 17*p + 24. Let l be y(-2). Solve l*d = 3*d - a - 1, -2 = a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/22 - (2 - 10\/4) and -51\/92.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1883294.\nAnswer: 2, 7, 17, 41, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41487 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 + 3)*64 - 5 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24614708 by 361981.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2375808 and 24?\nAnswer: 2375808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1356151094?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)*-1*-4)\/(sqrt(56)\/(2*sqrt(7)))*5 + -3 + 3.\nAnswer: 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -332, -845, -1366, -1901, -2456, -3037, -3650?\nAnswer: -4301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/(-20)*(-564)\/(-20727)?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -4\/45*l**3 + 1\/45*l**4 + 10*l + 0 + 1\/150*l**5 - 8\/15*l**2. Factor n(q).\nAnswer: 2*(q - 2)*(q + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11723 - 10?\nAnswer: -11733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzauuuuaunn. Give prob of sequence uaaz.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from flllllll.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 637\/(-28)*136\/119?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p + 5*p + 2*p + (-1 + 3 + 0)*(-3*p + p + 3*p) + 0*p + 2*p + 0*p as u*p + d and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -14036\nAnswer: 19\/14036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 586420 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + z + 5324 = 0, -x + z + 15982 = 2*x. List the prime factors of x.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = 4*c - 4*n, -c + 93 = -2*n + 21. Let d = 124 - c. Calculate the remainder when d is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 12*t + 5. Calculate p(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Let l be 1 - 1\/(q\/(-8)). Solve -s + 3 = 3*m - 5, l*s - 3*m = -14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*o - 1776, 4*o = -3*k - 229 - 1193. Let n = o - -356. Suppose 3*i = -2*i + 90. What is the lowest common multiple of i and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1367278 divided by 11.\nAnswer: -124298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 1041?\nAnswer: -103c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 39680*a**2 - 79372*a - 39688.\nAnswer: 4*(a - 9922)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401542 is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*o - 5*x, 4*o - 4*x - 15 = -31 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2200 - 11?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -17. Calculate the remainder when 33 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 - 57*f**3.\nAnswer: -57*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120.8 - -107. Let i = -14 - h. Let g = -39.9 + 40. What is the nearest to 1 in -4, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-2*k + 2*k - 2*k**4)*(3*k - 2*k + 3*k).\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 10:31 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -12000?\nAnswer: -11332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -25. Put -5, 4, o in descending order.\nAnswer: 4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 + 102*r + 0 + 6 + 11*r**2 - 107*r. Let f be u(5). Let i(k) = -5*k - 25. Let h be i(f). Round h to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*b + 5 - 11 + 270*b**2 + 0 - 9*b wrt b.\nAnswer: 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-11\/6)*g**(1\/2))\/(g**1)**(-4) assuming g is positive.\nAnswer: g**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4951175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 3. Let t be o(3). Suppose 8*b - 4*b - 208 = 0. Let w = t + b. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**3 + 4*a - 4*a + (0*a**2 + 0*a**2 + a**3)*(21 + 14 + 1) as j + d*a**2 + f*a**3 + c*a and give f.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-15\/4)*d)\/d**(-37))\/(((d*d**(-25)*d)\/d)\/(d**(1\/17)\/d)) assuming d is positive.\nAnswer: d**(4475\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2485 + 2513. Calculate the remainder when 1089 is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*f**2 - 95*f**2 + 404442*f - 404440*f + 4 to h + m*f + s*f**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16.4 and 1.38?\nAnswer: 15.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-7 - (-13)\/2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*f + 6 = -3*f, 3*f = 0. Let w(h) = h + 7. Let x be w(-8). Sort 0, k, x in descending order.\nAnswer: k, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-1)\/84) - (-4 + 4). Let y be n\/(-4)*(-4)\/(-6). Is (-2)\/3*273\/y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14154 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9742 - 3397 = 9*s. Let p = 732 - s. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/24*4\/(-3)*70. Suppose 9*p = j + 21. Calculate the remainder when 130\/p + (-57)\/(-21) + -3 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 - 6*m**2 + 2*m - 1. Let h(g) = g**3 - 2*g**2 + g. Let r(l) = -11*h(l) + 4*n(l). Let z be r(-4). Is (z\/70)\/(3\/100) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 426676*t - 6. Give x(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -2*q**7\/105 - 2*q**6\/15 + 11*q**5\/15 - q**4 - 32*q**2 + 1. Factor h(k).\nAnswer: -4*k*(k - 1)**2*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + b. Let w(y) = 55*y**2 + 44*y. Let v(g) = -44*d(g) + w(g). Let p(l) be the third derivative of l**4\/24 + 27*l**2. Give v(p(o)).\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104804 is divided by 278?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22804?\nAnswer: 2, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wz when two letters picked without replacement from wwmz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t**3 + 6*t**3 + 352 - 352.\nAnswer: 19*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*l - 70. Let x be (-2)\/7 - 500\/l. Let j be ((-1)\/x)\/(2\/(-12)). Put 2, j, 5 in increasing order.\nAnswer: j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 7. Let x(m) = 26*m**2 - 2*m - 2. Let y be x(g). What is the common denominator of 119\/20 and 12\/16 + y\/(-88)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**5\/(u*u*(u*u*(u\/(((u\/(u**25\/u))\/u)\/u)*u)\/u)\/u*u) assuming u is positive.\nAnswer: u**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 351*u**3 - 21*u + 21. Let w(f) = 70*f**3 - 4*f + 4. Calculate -4*a(z) + 21*w(z).\nAnswer: 66*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 23*v + 26*v + 15, 3*z + 21 = -4*v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 5960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 4 + 3)\/(1 + 33). Sort 3, 4, f, 1 in decreasing order.\nAnswer: 4, 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 9. Let h be (1 + -4)*1\/w. Let m be h\/3 - (-1048)\/12. Calculate the highest common factor of 29 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*n + 25. Let s(t) = 3*t**2 + 39*t - 15. List the prime factors of s(n).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*c - 140, 0 = 2*c - 2*h - 67 - 29. Let w be (-30)\/c + (-6)\/(-10). Solve -3*j = -w*j - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 2 - 1 - 3*y)*(y - y + 2*y**3 + (-y - y + 0*y)*(-3*y**2 + y - y)).\nAnswer: 8*y**4 + 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/100 and 87\/110?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1565 + -1567. Put 1, -5, -42, u, -25 in increasing order.\nAnswer: -42, -25, -5, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*n + 27*n = -31922. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-32))\/(j\/j**(2\/3)))\/(((j**(3\/46)*j)\/j)\/(j**(-17)*j)) assuming j is positive.\nAnswer: j**(-6541\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 17*z + 85. What is s(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7813080 to the power of 1\/2, to the nearest integer?\nAnswer: 2795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 112*k + 372.\nAnswer: -4*(k - 3)*(k + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*u**2 + u - 125 wrt u.\nAnswer: -44*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 32 = -5*d, 6*c - 32 = 2*c - 4*d. Let q(m) = -1 + 1 + 0 - c*m - 3*m**2 + 2 + m**3. Let a be q(4). Solve a*x - 25 = -3*x, 4*w + 4*x - 36 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 - 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2360224871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 + 352 = 2*c - 210. Calculate the highest common divisor of c and 575.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8817, 8818, 8821, 8826, 8833?\nAnswer: 8842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/(-12))\/(3\/(-12)). Suppose -5*k - v*j + 0*j + 50 = 0, 2*j - 4 = 0. Find the common denominator of (-417)\/(-84) + (-2)\/k and -47\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*c - 3, -2*w = -5*c - 4*w + 2. Let n = c + -8. Calculate the common denominator of 195\/42 + (-4)\/n and 71\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -226*m**3\/3 - 90844*m**2\/3 - 3042470*m + 107736.\nAnswer: -2*(m + 201)**2*(113*m - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5 = 5*v, -v + 0 + 55 = 4*s. Let f = -37 + s. Let o = 311 + -310. Sort f, o, 5.\nAnswer: f, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2858556\/7 equal to 408365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16505*i**2 + 69*i + 64 - 64 - 69*i - 14255*i**2.\nAnswer: -30760*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 2*l + 4*l)*(-3 - 4 + 6)*(-467 - 86 + 107).\nAnswer: -446*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*n - 60*n + 442 = -91*n + 52 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 1, 57, -4636\/13 in descending order.\nAnswer: 57, 1, 0.6, -4636\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -609 = 57*t - 2091. Suppose -3*l = -2*f + 206, 2*f + 4*l = -0*l + 178. What is the remainder when f is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**6\/600 - 13*p**5\/300 + 23*p**4\/60 - 16*p**3\/15 + 67*p**2. Factor t(q).\nAnswer: -(q - 2)*(q - 1)*(q + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-15))\/((-35)\/30). Let p be (-2)\/6 + (-10)\/6. What is the third smallest value in -1, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -510 - -514. Solve -7*h + y = -3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3409, -3407, -3405, -3403, -3401?\n\"Answer: 2*z - 3411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 4:55 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3) - 14\/(-6). Suppose -j*t + 69 = -156. Is t a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12982*s + 9464*s**2 + 25960*s - 12979*s)*(-s**2 + s**2 - 2*s**2) to the form i + u*s + a*s**3 + k*s**4 + q*s**2 and give k.\nAnswer: -18928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**3\/6 - h**2\/2 + 3*h. Let g be d(7). What is the highest common factor of 4 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 31*w - 992, w + 7621 = -3*h + 7653 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87903730?\nAnswer: 2, 5, 491, 17903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/40 - (-70)\/(-16) - -20191. Suppose 0 = 12*x - 53853 - a. Round x to the nearest 100.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149361 is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30511, 61042, 91573, 122104?\n\"Answer: 30531*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 587777 to the power of 1\/2, to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2085, -5706, -9345, -13008, -16701, -20430, -24201?\nAnswer: -28020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -112054 take away 90?\nAnswer: -112144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 3. Let o(r) = -r**2 - 2*r. Let q(u) = -4*u**2 - 7*u. Let w(a) = -14*o(a) + 4*q(a). What is y(w(n))?\nAnswer: -4*n**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 2*n - 1. Let m be z(-2). Let p(r) = 42*r**2 + 3*r + 3. Let f be p(m). Let g = f + -44. Which is bigger: -0.2 or g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3550?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11745, 11486, 11245, 11028, 10841, 10690, 10581?\nAnswer: 10520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 17*i + 10. What is f(-8)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*p**2 + 92*p**2 + 117*p**2.\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 36*j - 250. Give l(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*h*r**3 + 2*h*r**2 - 81*h*r wrt r.\nAnswer: -36*h*r + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 1\/9 (c) 4 (d) 45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-283)\/6 + 8 - ((-11)\/66 - -7 - 8)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12801\/(-34))\/((-12)\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -307*b**2 + 12. Let n(m) = -8 + 87*m**2 + 105*m**2 + 13*m**2. Let z(v) = 5*h(v) + 8*n(v). Is z(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 48645597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 8:17 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17161 or -17164?\nAnswer: -17161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/10271, -2.235, 0.4 in ascending order.\nAnswer: -2.235, 3\/10271, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -477151003 rounded to the nearest ten thousand?\nAnswer: -477150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 2920 = -12*a - 4*n, -8 = -2*n. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18859 - 12661. Which is smaller: h or 6197?\nAnswer: 6197","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from yooyrssyyrs.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337 = 3*i - 331 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 25*z - 441. What is q(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l + 75 = 0. Let w be (8\/(-10))\/(5\/l). Let n = 0 + 1. Put -2, n, w in increasing order.\nAnswer: w, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 18672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -287, -286, -285, -284, -283?\n\"Answer: k - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -957*z = -256*z - 535 - 213 - 654. Let j(i) = 53*i - 1. Let g be j(1). Solve -51*x - z = -g*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and -0.04688447.\nAnswer: -0.084392046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(-3))*i*i*i)\/(i*i**2\/i*i))\/(i*(i\/i**(-2\/5))\/i)**(2\/61))\/((i*i\/(i**0\/i))\/i**7)**(-5\/16) assuming i is positive.\nAnswer: i**(2079\/1220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, 23, -4 in increasing order.\nAnswer: -10, -4, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -783 (base 9) to base 5.\nAnswer: -10032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(sqrt(99)*-1 + -1))**2 + 0.\nAnswer: -2700 - 162*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - 4*l**2 + 4*l - 4. Let o be w(2). Solve -x + 1 = 3*n, o*x = 3*n - 18 - 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3806539?\nAnswer: 11, 163, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*n = 78, -29 = 2*i - 4*i - 5*n. Suppose i + 20 = 3*x. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278.8677 rounded to one decimal place?\nAnswer: 278.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Suppose p = 5*i + 14 + 11, -3*h + 4*i = -29. Suppose h*n = -3*t + 15, n + 0*n + 31 = 3*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*h**2 + 131*h**2 - 36*h**2.\nAnswer: 169*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8*w + 6. Let o = -78 - -84. Let t(g) = -9*g - 7. Let n(f) = o*d(f) + 5*t(f). Calculate n(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9787 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8*((-3)\/7 - (-581247)\/(-714)). What is the greatest common factor of 24 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 141 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**2 + 13*p**3 + 8 - 14*p**3 + 0*p**2 - 3*p**4 - 9 + p as k*p**4 + b*p**3 + a + t*p**2 + s*p and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(19) - (sqrt(19) - (-5*sqrt(38)\/sqrt(2))**2)) - (3*2*sqrt(19))**2)*3.\nAnswer: -627 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 28*i - 117. Let l(j) = -93*j + 396. Let b(s) = 33*c(s) + 10*l(s). Give b(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*k - 306 = 214. Let b = 0 + 0. Put 1, b, k in decreasing order.\nAnswer: k, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -44 (c) -2296 (d) -0.2 (e) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 7 = 3*v. Let s(i) = -10*i + 28. Let u be s(0). Suppose 4*r = v*r - u. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/78 + -3\/130. Let r(v) be the first derivative of 0*v + 3 - 1\/12*v**2 + 0*v**4 + 1\/36*v**6 - 1\/9*v**3 + j*v**5. Find g such that r(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2949 - -2950. Which is greater: 2\/34131 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8814.429 grams to milligrams.\nAnswer: 8814429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**4 - x**4 + x**4)*((-4 + 3 + 2)*(-1 - 4 + 2) - 3 + 0 + 4 - 1 - 1 + 3) - x**4 + x**4 + 2*x**4.\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 16*g + 58. What is y(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 100451 or 100443?\nAnswer: 100451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s**2 + 308*s + 2234. Give d(-7).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 4*k**2 + 9*k - 5. Let u be p(6). Let m = -21 - u. Suppose m*y - 262 = 4*g, -3*g - 296 = 5*y - 1016. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/966 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/10)\/(2\/(-1)). Suppose -88 = 49*d - 45*d + 5*a, 4*a - 16 = 0. Put d, j, -4 in descending order.\nAnswer: j, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -5. Let n = 50 + -34. Calculate the greatest common divisor of n and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-4) + (-5)\/10. Suppose y = -3*m + 4*m. Suppose -x - 68 = -m*x. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 37*t - 2*t**3 - 2*t**3 + 36*t + (-t**2 - t**2 + t**2)*(-2*t + 4*t - 3*t).\nAnswer: -3*t**3 - t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 111?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 93, -1.1, -1\/5, -0.1, -3\/4, 0.1, 20.75?\nAnswer: 20.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 2 - -7 - ((-7 - -8) + 8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 + 8*l + 6. Let i = -16 + 9. Is x(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 0 + 9*z**2 - 7*z - 9 + 1 - z**3. Let u be k(8). Solve u*g + 4*g = p, -5*p = 4*g + 24 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3729097401 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -129275, -129273, -129271?\n\"Answer: 2*d - 129277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g + 2*g - 3*g + 4*g. Let z(y) = 3*y**2 + 2*y**2 - 2*y**2 + 4*y**2. What is o(z(c))?\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -68. Suppose 2*p - t = p. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 192438632 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -706524*h - 706525*h - 706523*h + 2119574*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(3\/2))\/q**(-2\/3))**(-16)\/((q*q**(-3\/8))\/(((q\/(q*(q**(-3\/4)\/q)\/q))\/q)\/q)*((q\/q**(1\/6))\/q)\/q**(1\/2)) assuming q is positive.\nAnswer: q**(-399\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -265\/1356 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12406 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -15 + 5*b + 0*b - 31 + 8. Let t be n(9). Suppose -6 = -t*w + 50. Solve -2 = 3*x - w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 - 153*s + 81*s - 5*s**2 in the form z*s + n*s**2 + b and give z.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2*b**5)\/(b*b*b**(1\/3)*b**(-11)) assuming b is positive.\nAnswer: b**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41\/4 - -39\/4. Let j = 215616766\/795 - 271216. Let c = -4\/53 - j. What is the nearest to x in -1, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**4 + 137*t**3 - 654*t**2 - 792*t = 0.\nAnswer: -1, 0, 6, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**3*k**3 - 5*h**3 + 69*h**2*k**2 + 2*h**2*k + h*k**3 - 4*h*k**2 - 394*k**3 wrt k.\nAnswer: 12*h**3 + 6*h - 2364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 168582437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 123, 243, 471, 843, 1395, 2163?\nAnswer: 3183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*u - 32*u + 2. Suppose -u*b + 9 = -0*s + 3*s, 15 = 5*s - 2*b. Solve s*h + 4*v = 23, -2*v - 3*v = -4*h - 21 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13066 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11564455 rounded to the nearest one thousand?\nAnswer: 11564000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 at most as big as -45638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1345351845 to the nearest integer?\nAnswer: 36679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -13 + 0*v**4 - 5\/2*v**6 + 0*v**5 + 0*v**3 + 8*v**2 + 0*v. Find the second derivative of d(s) wrt s.\nAnswer: -300*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1, -2, -347148.\nAnswer: -347148, -12, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -17. Let h be (-75)\/(y + -7) - -4. Suppose -j + r + h = 0, -5*r - 53 - 60 = -4*j. What is the highest common divisor of j and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*m - 11, q - 7 = -3*m - 2. Let v be (0 + q)*-2*1. Suppose 3*g + a - 17 = 0, g - 4*a + 18 - v = 0. Solve -z + g = -2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48732483 rounded to 4 decimal places?\nAnswer: 0.4873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w + 33 = 0. Let s = -21 + w. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 29. Let m(k) = 6*k**2 - k**3 + 6*k**u - 3*k**2 + 11 - 8*k. Let q be -2 + 1 + (-18)\/(-2). Calculate m(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 - -183.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 125117, 125122, 125127, 125132?\n\"Answer: 5*u + 125112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 11. Let y be k(11). Suppose y*x - 5*x = 0. Sort 5, -2, x in ascending order.\nAnswer: -2, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -18*m**2 - 2*m. Let g(q) = 55*q**2 + 7*q. Let f(i) = -13*i + 67. Let t be f(5). Calculate t*g(o) + 7*b(o).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -42920225.\nAnswer: -4\/42920225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -0*k + 2*k. Let f = k + -5. Suppose -4*b + f = -132. Calculate the highest common divisor of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 9*o**2 - 17*o + 74. Let s = -423 + 433. Let p be t(s). Solve 0*x - 5*x = 2*m - 17, -2 = -2*x + p*m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 129\/5 + -127\/5. Factor 6\/5*v**2 + 8\/5*v + z.\nAnswer: 2*(v + 1)*(3*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 + -2.97. Let y = -6.4 - -0.4. Let d = 8 + y. What is the biggest value in p, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + h = 1229, -d - 1830 = -4*d + 3*h. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 5 - 1)*(-3 + 4 + 0)*(0 - 6 + 2)*(-2*g + 0*g - 2*g)*(3 + 0 + 1) as u*g + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 - 101.999983. What is y rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -497 + 740. Let v = -143 + n. Is v a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58251885569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*w**2 + 3*w - 20872400848 + 20872400848 - 3*w.\nAnswer: -89*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from nvwvnfnnfnvnnv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 9:01 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 5 + 8 - 3. Let y(f) = -23*f**2. Determine y(o(a)).\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 6 - 1)*(-f + 2*f + 0*f) - f + f + 7*f + (4*f - 2*f - 3*f)*(-2 + 2 - 1))*(65 + 357 + 7).\nAnswer: 4290*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2)*1\/((-3)\/(-51)). Solve -k = 5*i - 3*t, 4*i + 20 = -0*i - 4*t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - -9. Suppose 5*k = -4 + t. What is the greatest common divisor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38365568 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -101344?\nAnswer: -101344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 21 + 4. Suppose 111 + 249 = x*r. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87567847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/9)\/((-86)\/50). Let k = i + -134693\/7740. Let w = k + 56\/5. Find the common denominator of 45\/7 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255 = -3*j - 132*c + 258*c - 141*c, 4*c = -j + 69 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**4\/6 + 75*w - 118. Let n(m) be the first derivative of c(m). Let k(g) = 68*g - 1. Calculate n(k(h)).\nAnswer: -9248*h**2 + 272*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 158741050231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 9*t**2 + 15*t**2 - 12*t**2 - 6 - 7*t. Suppose 4*p + 2*m = -24, p + 6*m = 2*m - 13. What are the prime factors of w(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -209949 - 3?\nAnswer: -209950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1. Suppose -4*b + b + 15 = x. Suppose -30 = -m + 5*f, -2*m + 0*f + b*f + 50 = 0. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -4, -91, 5, 0 in ascending order.\nAnswer: -91, -28, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -12. Solve 2*g = -2*d + x - 0, 3*g = -d + 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/620, 0.1, -2\/13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -118582328 divided by 4?\nAnswer: -29645582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 - 3*n**4 + 6*n**4 + (0 + 0 + 2*n)*(2*n**3 - 3*n + 3*n) + 0*n**4 - 2*n**4 - 3*n**4 - 81*n**4 - 42*n**4 - 17*n**4.\nAnswer: -139*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98828.49 weeks to hours.\nAnswer: 16603186.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6275517, 6275512, 6275505, 6275496, 6275485, 6275472?\nAnswer: 6275457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 785 - 778. Which is the second biggest value? (a) 8 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7168 and 20820992?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160493 (base 11) in base 15?\nAnswer: 4ddc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-66)\/(-15))\/((-1)\/(-5)). Suppose 2*v = 10 + 2. What are the prime factors of (-1 - (-9)\/v)*p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*j + 16, -5 = 7*j - 2*j. Let w be 2\/6*h + (-3)\/(-9). Let i be (w - (-27)\/12)*4*2. Calculate the greatest common divisor of i and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -203\/33150 and 49\/11050.\nAnswer: 33150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25092.\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z + 262 + 806 = 64*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91*w**6 + 5*w**3*x - w**2*x + w**2 - 35*x - 1 wrt w.\nAnswer: -10920*w**3 + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, z: 3, y: 4, m: 2, c: 2, e: 3}. What is prob of picking 1 c, 1 e, 1 y, and 1 m?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -135 - -a28?\nAnswer: 8a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pghkp. Give prob of sequence pkhg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 16 = 4. Suppose i - 3*i + q = 0. Suppose 5*l - i*v - 42 = 2*l, -2*v - 6 = 0. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9768 and 28712?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/214 and 26.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3, 3, 1206, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 4:13 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.285686ns?\nAnswer: 0.000000000000357135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = 0, 2*m = -l + 5*l - 370. What is the remainder when l is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 259*c**3 + 14*c**2 - 7. Let r = 188 + -192. Let g(o) = 130*o**3 + 7*o**2 - 4. Let y(m) = r*l(m) + 7*g(m). Find the third derivative of y(v) wrt v.\nAnswer: -756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1162*t + 6 - 2 - 85*t - 1.\nAnswer: -1247*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 1, t: 2, x: 1}. Give prob of sequence at.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -32\/5*n**5 + 2\/15*n**6 + 578*n**2 + 74*n**4 + n + 11 + 1088\/3*n**3. Factor x(p).\nAnswer: 4*(p - 17)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(810\/(-8)))\/(24*7\/756)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 42*q**2 - 23*q + 21. Let t = -280 + 296. Is h(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73229 is divided by 165.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2. Let x(z) = -47*z**2 + 13*z + 9. Let y(d) be the first derivative of -4*d**3 + 3*d**2\/2 + 2*d + 50. Let r(u) = -2*x(u) + 9*y(u). Give f(r(k)).\nAnswer: 196*k**4 - 28*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*n - 560 + 1988 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 459357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*i**3 - 84*i**3 - 2*i**2 + 36*i**3 + 5 - 3 in the form y*i**2 + f + n*i**3 + p*i and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0*c + 0 - 3*c**2 - 1\/6*c**3 + 1\/24*c**4. Let d be 1\/(6 + -2 - (-252)\/(-60)). Give s(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/7 (b) 1\/2 (c) 7 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6052849 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1287 and 819.\nAnswer: 9009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8070.332 millilitres?\nAnswer: 8.070332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9056925 times -10\nAnswer: 90569250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 604 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-66)\/(-8) - 18\/(-24). Suppose -5*p = x - 14. Is (-595)\/14*(-3 + p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -12, 0 = -5*s + 3*g - 854181 + 185932. Let x = s - -213648. What is x rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwlwwulu. What is prob of picking 1 w and 1 l?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*b + 34 = 0, -u - b = -2*u + 5. Let y be 1\/4 - 2\/8. Suppose y*z - 2*z = -u. Solve 2 = -2*d - z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-3))\/(-8))\/1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 3)*(-3*x + 7*x - 3*x) + (0 + 3 - 2)*(0*x - 4*x + x) + 2*x - 5 + 5 - 211*x + 294*x + 365*x to k + q*x and give q.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-21) + (-45)\/(-84). Let m = -5 + 8. Let b = -1 + m. What is the third smallest value in b, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -440467, -880868, -1321269, -1761670, -2202071, -2642472?\nAnswer: -3082873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 80*v**2 + 5*v - v - 86*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5 = 0, -2*p + 5*p - 77 = -5*h. Let a = h + -12. Let q be 51\/17*2\/(-3). Put q, a, 1 in increasing order.\nAnswer: q, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.3222 or 3471?\nAnswer: 3471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 527 + -526.7. Which is the third smallest value? (a) -5 (b) n (c) 5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55.92 - 56. Let j = i - -0.079999. Round j to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -5*p**4\/4 - 10*p**3 - 55*p**2\/2 - 30*p - 405. Factor g(t).\nAnswer: -5*(t + 1)*(t + 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 1520289\/5 + 2466\/5*r + 1\/5*r**2 = 0.\nAnswer: -1233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 93*p**2 + 5*p + 1. Let o(v) = 46*v**2 + 3*v + 1. What is 5*o(k) - 3*s(k)?\nAnswer: -49*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -585 + 584.9. Sort m, 0, -2\/31 in descending order.\nAnswer: 0, -2\/31, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -31. Let r(o) = o - d*o + 1 + 0*o - o. List the prime factors of r(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v - 61*v**3 - 167970*v**2 + 167970*v**2 in the form f*v**2 + y + m*v**3 + s*v and give m.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 171681861 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31713742 rounded to two decimal places?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 62792 = -405*q + 402*q, -q = 10*a - 21000. What is the highest common divisor of 40 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - n + 3*n)*((2 + 0 - 3)*(4*n - 2*n - 3*n) + 5*n - 4*n + 0*n + (0*n + 2*n - 3*n)*(0 - 4 + 3)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/2 + 3798*w**2 - 68565*w\/2 + 53361.\nAnswer: 3*(w - 7)*(w - 2)*(w + 2541)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*f = f + 2121 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-12)*10*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002229738 to seven dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + -24. Let a = n + 133. Let i = 33 + -13. Calculate the remainder when a is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, x: 2, n: 1, d: 1, m: 1}. What is prob of picking 1 d and 1 m?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**3 - 8*x + 13. Let z be a(5). What is the greatest common divisor of z and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 0*t**2 + 20*t - 1\/4*t**4 - 3\/40*t**5 - 2 - 1\/4*t**3. Let u(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 12 (b) 4 (c) -11\/6 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -93 - 21379672\nAnswer: -21379765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**2 + 43*z + 38. Let t be x(-18). What is the highest common divisor of 80 and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-6))\/(6\/(-90)). Suppose 0*n + 2*n = -o. Sort 5, n, 2 in ascending order.\nAnswer: n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + -1 + sqrt(76)) + 3)**2 + (-2*(sqrt(76) + 3)*2 + 5)**2.\nAnswer: 152*sqrt(19) + 1594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -0.5, 12 in descending order.\nAnswer: 12, 5, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 146641*z + 15535. Let q be a(-35). What is q rounded to the nearest one hundred thousand?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2. Let r = -7 - -21. Suppose -3*x + r = -x. Let p(g) = -7 + x - g**2. What is m(p(k))?\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 4, -2*t + t + 22 = -0*t + 2*y for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*j + 62 = -3*w - 162*j, -2*w = -4*j + 36 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1, 4, -1.0957?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (224\/(-48))\/(215\/1290).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1175042 and -1175033 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -36444749\/7 = -5206394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 631860 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/27 + 14\/(-3). Let m = -1 - w. What is the remainder when 11 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 512614603 and 224.\nAnswer: 512614827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36910936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -96. Let m = -29 - f. Suppose 0 = -4*p + m - 8. Are p and 3\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 27*b**2 + b - 11. Let r be y(27). Let w be -21 + r + (-129)\/(-21). What is m in -2\/7*m**2 - w*m + 0 = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 32 - 5 = 2*j, 26 = 5*o + j. Let s = o - 2. Let v(h) = -h**3 + 3*h**2 + 2*h - 3. Determine v(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 87*x**3 - 4*x**2 - 8*x + 29. What is the thousands digit of g(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30144102 (base 5) to base 2.\nAnswer: -111010101110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -o + 5*n, 0 = 5*o + 21*n - 24*n + 101. Does 6 divide (18 + o)\/(-2*(-2)\/(-678))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/130 and 54\/22289215.\nAnswer: 44578430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-100))\/((-387)\/68112)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 10 - 16)*(r - 2*r + 2*r) - 4*r + 35*r + 20*r)*(-r**2 - 2 + 2).\nAnswer: -26*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/29, 29, -3?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-5*(2*sqrt(110) + sqrt(110)))\/sqrt(10) - ((sqrt(110) - -4*-2*sqrt(110))\/sqrt(10))**2).\nAnswer: -539 - 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1561 bigger than -1476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13.343, 4, -3, -0.05 in increasing order.\nAnswer: -13.343, -3, -0.05, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + (sqrt(187) + sqrt(187)*-2*-3)\/(-3*sqrt(99)).\nAnswer: -6 - 7*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnunsaxx. Give prob of sequence nsu.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**4 + 0*n**4 + n**4 + (-2 + 1 + 3)*(-129*n**4 - 33*n**4 + 12*n**4) + 4*n**4 - 24 + 24 to the form f + l*n**2 + j*n**3 + y*n + q*n**4 and give q.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 18 = -5*k, 3*q + 2*k = 2*q - 3. Suppose -25 = -4*n - 5*t + 52, 4*t = -3*n + 58. Let p = 25 - n. Solve 16 = -q*a + p*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (13 - (16 + -10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 8 - 20. Put -3, s, 3, -1 in decreasing order.\nAnswer: s, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 12:17 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105 - -99.1. Let q = -4.9 - w. Which is smaller: 6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275*s - 219*s - 224 = 0. Sort -193, 1, -2, s, -1.\nAnswer: -193, -2, -1, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 84 = 3*u + i, 2*i = -4*u + 86. Suppose -u*z - 588 = -33*z. What is the remainder when 194 is divided by z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22559, -45084, -67555, -89948, -112239, -134404, -156419, -178260?\n\"Answer: 4*x**3 + 3*x**2 - 22562*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4*h + 24 = 0, 2*w + h - 4 = 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 5*q = 6. Suppose 10*a + 38 + 12 = 0. Let u(f) = -2*f - 6. Let i be u(a). Solve -2*w + 4 = -3*o, 0*w - i*o + q = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61 and -1224.\nAnswer: -74664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 17 (b) -2 (c) -29\/74 (d) -3\/4 (e) -2\/5 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -83268\nAnswer: -83263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*((-10060)\/480 + 21). What is the nearest to 1031 in q, -2, 2\/7, -1\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 19*i**5\/30 + 11*i**4\/24 - 8*i**2. Find the second derivative of h(z) wrt z.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m. Suppose -7*x - 13 = -6. Suppose 3*s + 399 - 153 = 0. Let y = 85 + s. Let u(b) = -2*b - 1. Calculate x*u(p) + y*g(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 131*o**4\/6 - 1123*o**3\/6 + 2*o**2 - 933. Find the first derivative of c(w) wrt w.\nAnswer: 524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 9*g**2 + 4*g + 5. Let z be v(4). What is the nearest to 3\/8 in 2, -1\/4, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 2*q = 26, 3*k + 13 = 4*q + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10332 (base 4) to base 15\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/8 and (226\/20)\/(2 + (-48)\/10).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3553026 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvhuttt. What is prob of sequence uh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 48\/7 of a week?\nAnswer: 69120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**2 - 11*n + 11. Let y be (-5)\/(-4) - (-9)\/12. Let m(k) = 0 - k**2 + 108*k + y - 110*k. Determine 2*l(r) - 11*m(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*-4 + sqrt(51) + sqrt(51) - sqrt(204)\/(2*sqrt(4)))\/(sqrt(675) - sqrt(18)\/(sqrt(54) - sqrt(6))).\nAnswer: -13*sqrt(17)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + -6*(3 + sqrt(98) + sqrt(98) + 3 + sqrt(98)*-4*-3).\nAnswer: -588*sqrt(2) - 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**3 - d**2 + d + 15. Let o(r) = 5*r**3 + r**2 - r - 14. Let q(p) = 4*c(p) + 5*o(p). Give q(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 - 5*v + 1. Suppose -8 - 4 = -6*b. Let f be y(b). Solve j + 1 - f = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2. Let k(r) = 94221*r - 179705*r + 97966*r. What is k(q(g))?\nAnswer: 12482*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**4\/3 - 28*d. Let u(i) be the third derivative of -i**4\/12 - i**2. What is u(j(p))?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 256859160 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 17*r - 6*r + 42*r**2 + 33 + 33*r**2.\nAnswer: 75*r**2 - 23*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-10) - 5\/75. Suppose -5*i = -4*s + 21, 7*i - 2*i = -4*s - 29. Let o = -1 - s. Which is bigger: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1426, 6625, 15068, 26755, 41686, 59861?\nAnswer: 81280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6\/5*d**3 - 2\/3*d**4 + 34\/15*d**2 + 0 + 2\/5*d = 0. Calculate d.\nAnswer: -1, -1\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 5*c - 10. Suppose -2209*o + 3*s = -2212*o + 327, 4*s = 5*o - 464. Calculate the remainder when o is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2655772*d**4 + 39234030?\nAnswer: -10623088*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l - 4*z + 30 = -30*l, -3*l = 2*z + 45. Let v(h) = -3*h - 1. Let k be v(1). What is the remainder when l\/20 - 107\/k is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2 - 617*j + 5689. Determine y(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.830753 to 2 dps.\nAnswer: -133.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -25081.7 rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 - 2. Let y = 0.3 + -0.4. Let q = p - y. Which is the closest to q? (a) -2\/9 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60671352 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3 + 1 = 0. Let i be (4 - -4) + (f - 2). Suppose -2*s + 4*c = -38, -30 + i = -s - 2*c. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20.1 - -21. Let j = 157\/3 + -53. Sort a, j, -0.5 in decreasing order.\nAnswer: a, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1871*q**3 + 1871*q**3 + 27*q**4 + (-3 + 4 + 1)*(q**4 - 2*q**4 - 12*q**4).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581064481.\nAnswer: 181, 3210301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 776, -1, -4, 3, 1, -14 in descending order.\nAnswer: 776, 3, 1, -1, -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-14)*(-25221)\/(-1354728))\/(3\/(-10)).\nAnswer: -5\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.54028 nanometers to millimeters.\nAnswer: 0.00006454028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + (-628)\/12)*12450. Round k to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -8*i - 10. Let r = i + 17. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83 + 2*b**2 - 7*b + 0*b + 85 to i + o*b**2 + u*b and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.984141 tonnes in milligrams?\nAnswer: 1984141000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 3*c**2 - 6*c - 25. Let f be u(-5). Calculate the greatest common divisor of f and 440.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 41. Suppose 4*j = 2*b + 10, 13*b + 4 = 3*j + 8*b. Suppose -r + 13 = r + j*t, -2 = -2*t. Calculate the remainder when v is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718491?\nAnswer: 3, 139, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 2 + d**3 + 0 + 9 + d. Let j = 4 + 1. Let l be s(j). What is the greatest common factor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(648) + -3 - (sqrt(162) + sqrt(162) + 2 + 3)**2)*-2.\nAnswer: 324*sqrt(2) + 1348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = 4*a - 52019, 65077 = -50*a + 55*a + w. List the prime factors of a.\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-7) + 2\/7. Suppose 0 = 2*c - q*y - 0*y - 8, 0 = -3*c + 2*y + 12. Let v be ((-12)\/2)\/((-2)\/6). Solve 0 = 4*p - 2*d - v, c*d + d = 5*p - 30 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 3:12 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 + 221*k + 79. Determine a(-55).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*1\/(-1)*(-103)\/(-206).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1872 and 23192.\nAnswer: 417456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*j - 33 - 34, 0 = -5*d + 20. Suppose 8*m - j*m = -243. What is the remainder when 78 is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 4:28 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4*(-4)\/80). Let r(c) be the first derivative of c**2\/2 - 7*c - 57. Calculate r(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-4)*(-3 - -7). Suppose 3*z + 10 = -i + m*z, -5*i = 4*z - 22. Solve -11 - 14 = 5*v, i*g + v = -9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 4568152?\nAnswer: 54817824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 8*d**2 - 6*d + 2. Let s be a(-7). Let u be 9\/1 - 3 - -2. Let r = s + u. What is the remainder when 5 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*n = -368 - 77 - 59 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*s - 32085 - 75*s + 137*s.\nAnswer: s - 32085","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 4 - 5*n + 0 - 3*n**2 + 0. What is the tens digit of o(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/(-2 - 0\/(10\/5)). What is the smallest value in x, 2\/9, 1.7, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10156?\nAnswer: 2, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**4\/7 + 1076*i**3\/7 + 191970*i**2\/7 + 11433424*i\/7 + 11242528\/7 = 0.\nAnswer: -209, -164, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/9))**34*(d*d**5)**(3\/28) assuming d is positive.\nAnswer: d**(-395\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -0.075 in increasing order.\nAnswer: -5, -3, -0.075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -2*sqrt(76) + -2 - (sqrt(76) + 4*(sqrt(76) - (sqrt(76) + 1))))*1 - ((0 + sqrt(76) + 0 + sqrt(76) + sqrt(76) - (sqrt(76)*2 + -3))**2 + 0).\nAnswer: -83 - 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 13*w**2 + 12*w - 6. Let v be n(-12). Let a = v - -19. Let i be (8\/(-10))\/(a\/(-65)). Solve -3*t - 9 = -5*k + i, 9 = 3*k - 3*t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44133223 (base 5) to base 10\nAnswer: -380438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**6*y - 29*x**3*y + 4*x**2*y + 2*x*y + 13*y wrt x?\nAnswer: -240*x**3*y - 174*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/42 + (-2466)\/(-189). Solve q*v = 18*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2134.4 + 2134. Which is the nearest to -1\/5? (a) z (b) 2\/15 (c) -1\/6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183319*w + 8 + 2 + 2 - 12.\nAnswer: -183319*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.7 - 61.35126.\nAnswer: -67.05126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -217*a**2 + 15*a + 53. Let w(y) = -290*y**2 + 20*y + 72. Give -15*d(u) + 11*w(u).\nAnswer: 65*u**2 - 5*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 13 = 3*y + 10, 5*v = y - 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6 = 3*j. Let k = j - 3. Solve k*q + q + 8 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**2 - 80*n + 84 = 0. What is n?\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-8 - (-4 - (-10 + 9)) - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 6:16 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298981511?\nAnswer: 19, 193, 81533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 605 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -26*k**7\/105 - k**5\/15 - 37*k**4\/6 - k**3\/6 + 7*k**2 + 6. Find the second derivative of b(y) wrt y.\nAnswer: -624*y**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/((d\/(d\/(d\/d**11)))\/d*d*d)))**(13\/5)\/((d*d**7)\/d**(-3)))**(6\/11) assuming d is positive.\nAnswer: d**(-1032\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/4*-2 - (-5)\/10. Put 1, -214, h in increasing order.\nAnswer: -214, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3381 and 34293.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39248917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.014 + -16.414. Which is the closest to -111? (a) g (b) 5\/2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-168)\/(-392) + 3\/(504\/(-30)). Factor 1 - b*z**2 + 0*z.\nAnswer: -(z - 2)*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-1)*p*p)**(-5\/6)*((p**2\/p)\/p)\/(p*p**(-1)*p)*(p**(2\/17)*p\/(p\/p**(-3)*p)*p)\/((p**(1\/6)\/p)\/p**(-6)) assuming p is positive.\nAnswer: p**(-589\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*-30.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 32*r. Let b be o(0). Suppose 2*i + 12 = 4*g, -2*g - 4*i + 2 = 16. Suppose -1 = -q + g. Solve b*v - 2 = -q*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 324 and 48.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -29. Suppose -5*y + 8*o + g = 3*o, y - 30 = -5*o. Suppose -5*d - 3 = -4*a + y, 2*a + 2*d = 2. Solve -3*b + 3*z + 3 = 0, 3*b + 0 = 4*z + a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7608 + -1799. What are the prime factors of u?\nAnswer: 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06571, 389\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + 27*i**2 + 4*i + 65. Let b be v(-13). Let y(x) = -31*x + 29. Let j be y(-2). What is the greatest common divisor of b and j?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*t = -q + 3, 5*t = 3*q - 42. Let d = 29 + q. Calculate the remainder when d is divided by ((-2)\/6)\/(1\/(-39)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**6\/120 - x**3\/6 + x**2. Let v(o) be the third derivative of o**4\/24 - o**3\/6 - 34*o**2. Give l(c) + v(c).\nAnswer: c**3 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 41\/2 of a day?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -70526.55 to the nearest one hundred.\nAnswer: -70500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**4\/2 - w**3 - 7*w**2\/2 + 7*w + 4. What are the prime factors of o(5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-234)\/(-2) - 10\/(-5). Let t = -65 + n. Suppose -365 - t = -f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -1)\/(-38 + (-3381)\/(-98)). Which is the third biggest value? (a) 208 (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yepssyaxx. What is prob of sequence sae?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(-1\/11)\/g))\/g)\/(g\/(g\/(g*g*g\/(g\/(g*g*g**(-5\/2))*g)*g)))*g\/((g\/((g**15\/g)\/g))\/g*g)*((g\/g**(-13))\/g)\/g)**23 assuming g is positive.\nAnswer: g**(12443\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 337*v - 403*v + 2.\nAnswer: -66*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 8:01 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -10*o - 7. Let s(l) = 57*l + 41. Calculate 13*q(x) + 2*s(x).\nAnswer: -16*x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 223040, 223042, 223044, 223046?\n\"Answer: 2*l + 223038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 2*w + 10, -12*w - 2*z - 4 = -9*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 117017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -11. Let r be (100\/(-36) - i)*-3. What is the closest to r in -1\/4, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - sqrt(11))*2 - (sqrt(11) - sqrt(22)\/sqrt(32)).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = 2*o - 66. Solve 8 = -4*b, 4 = 3*c - 2*b - o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*x - 32 = -b, 5*x = -2*b + 85. Let i(g) = -g**2 + 5*g + 2. Let z be i(7). Let a = z + b. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 3556 (c) 0.3 (d) -3 (e) 1\/2 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -0.4, 6\/13, 1\/2?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 - 3*q - 3. Let g = -1 - 1. What is the remainder when 56 is divided by f(g)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -512 + 1521 - 502 - 11*h**3 - 506.\nAnswer: -11*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -26*a + 91. Let r be d(11). What is the lowest common multiple of 11 and 50\/(-3)*-2*r\/(-26)?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2. Let c(u) = 3*u**2 + 3*u + 3. Let o(m) = m + 1. Let z(d) = -c(d) + 3*o(d). Give z(i(v)).\nAnswer: -27*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/21 + 57\/21. Suppose 2*j - 4 = -2*y + 2, 0 = w*y - 5*j + 15. Solve y = 4*g - 5*h - 8, -2*g + 3*g = h + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637 is divided by 303?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -232690.00003 + 232691. Let g = -0.2 + 1.2. Let r = g - v. What is r rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-2))\/(2\/(-4)). Suppose -4*d - m*w = -5 - 3, -4*d = -5*w - 48. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5544 - 431?\nAnswer: -6305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/((-77)\/28 + 3\/1). Suppose v*z - 41*z = 24367. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178138556?\nAnswer: 2, 44534639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 344224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 5*s = -1845 + 1901, -3*l + 9 = 9*s for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -412.735 minus -43?\nAnswer: -369.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203214 is divided by 67737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1543609595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 + 65199*m.\nAnswer: -m*(m - 130398)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1553.2 - 1553.5. Which is the nearest to 35? (a) -0.2 (b) i (c) -2\/17 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 - 163917292 - 8*x**3 + 163917292.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 + 3*f + 3. Let r(t) be the third derivative of t**4\/24 + t**3\/6 + 3*t**2 + t. Let b(u) = -i(u) + 2*r(u). Determine b(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/4473)\/((-2)\/2). Let f = y - 19375\/11928. Find the common denominator of 1\/20 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 46970*h + 910. Let k(p) = -155*p - 3. Let a(b) = -6*d(b) - 1820*k(b). Let m(l) = l**2. Calculate m(a(x)).\nAnswer: 78400*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -11. Suppose 147 = -47*n + 50*n. Let k be n\/140 - l\/10. Which is the third biggest value? (a) 0.4 (b) -5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -133 - -45 - -100 - (83 - 0)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 718226958.\nAnswer: 2, 3, 101, 157, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 + 214*i**2\/3 - 424*i\/3.\nAnswer: -i*(i - 212)*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/15)\/((-46)\/(-115))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/5 and 34\/15979.\nAnswer: 79895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/4 + 4444587*p + 6584784533523.\nAnswer: 3*(p + 2963058)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 5*w**2 - 5*w - 2. Let u be j(-4). Let k(s) = -2*s**2 - 7*s**2 + 8*s - 11 + 8*s**2. Let v be k(6). Solve 2*o - q = -6, 3 = u*q - v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cocw when four letters picked without replacement from {y: 3, c: 2, w: 3, s: 10, o: 1}.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/((-30)\/(-21)))\/(-1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312211113 (base 4) to base 16.\nAnswer: 36957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.07 + 3.3. Let v = -8.77 - w. Let n = v + 8.75. What is n rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1522*r**2 - 18262*r - 9. Give u(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 56.48851 millennia?\nAnswer: 564.8851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 983 a factor of 9499712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*i**2 - 4*i**2 + 2*i**2)*(2 + 2 - 5) - 5*i**2 + i**2 + 2*i**2)*(-2334458 + 2477*i + 2334458) to the form c + o*i**3 + r*i + u*i**2 and give o.\nAnswer: -7431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -139, -471, -1113, -2167, -3735, -5919?\nAnswer: -8821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 142619101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 190*p + 2 = -195*p, -2*a + 2*p - 2 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 3*w**2 - 6*w + 6. Let c be s(4). Let y = c - 26. Let p be (-926)\/(-1) - y\/7. What is p rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 2*a = -5, -7*a - 5 = 2*q - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1809 - -1954. What is the remainder when g is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3364 and 2?\nAnswer: 3364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y**(3\/8)*y))))\/y**(-1)*y\/y**(8\/7)*y*y**(-1\/3) assuming y is positive.\nAnswer: y**(193\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/7 (b) -0.084 (c) 0.3 (d) -0.3 (e) -4 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6 = u - 4*c, 6 = -u - 2*c. Suppose -5*k + 1 + 1 = -4*v, -u*k + 10 = 3*v. Solve -5*n + 20 = 2*f, -n = -3*f - k - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**3\/6 - 7*m**2 - 8*m. Let a be o(12). Sort -4, 1, 5, a.\nAnswer: -4, a, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10021.9954866 + -10022. Round p to 5 dps.\nAnswer: -0.00451","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 9. Let m = v - 0. Let j = -5 - m. Put 5, j, -0.3 in descending order.\nAnswer: 5, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = y - a - 10, -5 = y + 4*a. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.57 - -0.4. Let y = -2.17 - t. Let m = 0 - -1. What is the closest to m in -0.3, y, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9\/8, 2\/7, 6\/7?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/233 and -1\/11.\nAnswer: 2563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - 7*x + 3*x + (3*x + 0*x - 5*x)*(-2 + 0 + 1) - 4 + 4 - 3*x - 1053*x - 1025*x + 1086*x in the form n + c*x and give c.\nAnswer: -994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 621, -1361, -3343?\nAnswer: -5325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*z + 72, b + 10 - 28 = -z. Let r(s) = -s**3 + 16*s**2 - 45*s + 9. Let a be r(6). What is the greatest common divisor of b and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30, 90, 218, 444, 798, 1310?\n\"Answer: 5*k**3 + 4*k**2 + 13*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37141?\nAnswer: 13, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-19)\/((-5472)\/1560).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or -60\/83?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 589.5 - 590. Let y = 11.8 + -15. Let k = -3 - y. Sort k, 3, b in ascending order.\nAnswer: b, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26565 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -0 - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 7:41 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 347064817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -604 (base 11) to base 4.\nAnswer: -23122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + o = 19, 2*k - o - 12 = 3*o. Solve 30 = 5*f + 5*j, -29 + k = -5*f - 4*j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 3*k + 13, -3*t + 3*k + 6 = 3. Suppose 17*h + 15*h = 128. Solve t*w - 5*c + 18 = -2*c, -2*c = -h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2433 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150849 and 217893.\nAnswer: 1961037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 122?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 61, 121, 181, 241, 301?\n\"Answer: 60*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 6*o**2 - 3*o + 51. Determine x(9).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19886 and 1220.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 1. Suppose 4*b + 10 = -3*l, l + 4*l - b = 14. Let r be (l\/8)\/(20\/(-176)). Which is bigger: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88806 is divided by 11073?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (63\/14)\/(3\/216). What is the greatest common divisor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2142120 + -6?\nAnswer: -2142126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 836 = 689. Solve f - 11 + q = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4047 - -7603. Suppose t = 3*g + 2*g. What is g rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.1 + 1.1. Let i = 3.9 + b. Let l be ((-1)\/(-4)*6)\/(-3). What is the smallest value in i, -1\/6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avvbbvbvbvvvb. Give prob of sequence bav.\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-36892230\nAnswer: -18446115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 421463227.\nAnswer: -2\/421463227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 96 = -5*i. What is the lowest common multiple of 4 + 1 - (-3 - -4) and (112\/i)\/((-2)\/(-3))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2876*c**3\/7 + 494674*c**2\/7 + 21271240*c\/7 + 14792\/7.\nAnswer: 2*(c + 86)**2*(1438*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xypxxtpytpppxpytx. What is prob of picking 2 y?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*i + 24 - 24 - 187*i - 2*i**2.\nAnswer: -2*i**2 - 141*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.803 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.33 - 2.87. Put 2\/13, -1\/6, q, -4 in decreasing order.\nAnswer: 2\/13, -1\/6, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. Suppose f*y = 0, 0 = -5*n + n + y - 696. Let a = -61 - n. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + g = 5*g + 20, -4*r + 3*g + 15 = 0. Let j(z) = -3*z**2 - 3*z + 1. Let m be j(-4). Let n be (-285)\/m + -5 - 3*1. Put n, r, 2 in ascending order.\nAnswer: r, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from dwwddwddwdddwddwddd.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-278003)\/(-1) - (6\/3 - -1). What is b rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 12*g + 2*g)*(g + 5*g - 4*g + g + 4 - 4 + (-2 + 1 + 0)*(-2*g + 2*g - g) - 3*g + 4*g - 2*g - 3 + 3 + g + (-1 + 2 - 3)*(-2*g + 2*g + g)).\nAnswer: 28*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -242 + 2660\/11. Suppose -2*k + k + j = -1, 5*j = -3*k - 21. Let i = 981 - 978. What is the closest to i in -1\/4, k, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 384 = -v. Let c = v + -92. Solve 0 = -3*q - 2*x + 2 + 2, -8 = -5*q - c*x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -995.\nAnswer: 3\/995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.39228.\nAnswer: 0.117684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 20 = -2. Suppose -11*h = -696 - 6894. Suppose -h*g + 44 = -686*g. What is the lowest common multiple of s and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 132825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 62838?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 3*i - 0*i + 5, 1097*p = 1092*p - 3*i - 44 - 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8180 - -48391\/6. Is n less than or equal to -116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 9.29 (b) 2\/7 (c) 3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -379a + 2?\nAnswer: -3798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53355 + -10160?\nAnswer: 43165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 13*z**2 - 17*z + 10. What is the units digit of b(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 = -0. Let y be 3\/4 + 5\/4. Suppose a = 4*l + 5, -4*l = 2*a + y*a + 20. Are z and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.9 and 103.\nAnswer: 102.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 8 = -5*i, 2*m - 4 = -10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 655.6412um to millimeters.\nAnswer: 0.6556412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 3*m**2 - 2*m. Let k be p(2). Let u(r) be the second derivative of r**4\/12 + 35*r**2\/2 + r. Is u(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8551013, 0 in increasing order.\nAnswer: -5, 0, 8551013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*x - 7 = -276*x - 7 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 169.\nAnswer: -1\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**2 - 1. Let j(s) = -19*s + 366*s - 18*s**2 - 347*s. What is j(t(v))?\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663498?\nAnswer: 2, 3, 11, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.75399 millilitres to litres.\nAnswer: 0.03075399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -142717 or -142773?\nAnswer: -142717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b (base 12) in base 11?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/44)\/(14\/8 + -2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 - 3*h + 3*h + (-2*h + 2*h + 2*h)*(h**2 - 3*h**2 - 3*h**2) + 10*h**2 - 4*h**2 + h**3 + 6*h**2.\nAnswer: -7*h**3 + 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**6\/60 - d**5\/15 - d**4\/6 - 5*d**3\/3 - 11*d**2. Calculate the least common multiple of 22 and z(-3).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -36206 - 4*z**2 + 36239 - 3*z + 11*z**3 - 10*z**3. Calculate j(5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -159776655 to the nearest 100000.\nAnswer: -159800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*20*(150\/(-560))\/15?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-576)*16*1863\/(-1035)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 306, 1145, 2526, 4449?\nAnswer: 6914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -4*g + 3*y, 4*g + 12*y - 16*y = 88. Suppose g*j - 2772 = 9*j. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3642 (b) 50 (c) 15\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**2 - 8*f + 7. Let b(u) = 14*u**2 - 22*u + 19. Let j(h) = 4*b(h) - 11*r(h). Let y be (11 - 13)*1\/(-2). Calculate j(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5599\/3360 - -1\/3360. Determine j, given that 20\/3*j**3 + 8\/3*j**4 + 11\/2*j**2 + 1\/6 + t*j = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124022143 (base 5) to base 2\nAnswer: 10010101001001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 0, 2*k + 10 = 36826*a - 36821*a - 2*k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161491, 645364, 1451819, 2580856, 4032475?\nAnswer: 5806676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47076 and 491179215?\nAnswer: 11769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -25 + 17 + -7 - (11 + 1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - j + 2015, 2*s = 5*s - j - 1209. Calculate the highest common factor of 31 and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2 - 7*c - c**2 - 3*c**2 + 3*c**2. Let y be i(-5). Suppose -y*p + 3*p = -345. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5 + 13. Let y = p - 3. Suppose -6*f = -y*f. Solve -4*d + 2*x = 22, 2*d - 3*x + 18 - 1 = f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 32522143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*w - 3*f - 5 = -131*w, -w - 4*w - 5*f = 35 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from kykkyik?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 24*m**3 - 315*m**2 + 4*m - 2. Let h(k) = -k**3 - k**2 + 2*k - 1. Let b(i) = -d(i) + 2*h(i). What is the third derivative of b(j) wrt j?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9387 is divided by 1562.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32333414103 + 4?\nAnswer: 32333414112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -48*3\/(-18)*3. Let z be (-12 + 2)*p\/20. What is the units digit of 6 + 1 - (z + 14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -612, -4471, -14920, -35253, -68764?\n\"Answer: -549*y**3 - y**2 - 13*y - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -79, -71?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 367869 and -145?\nAnswer: -53341005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 736 + -277. What is the remainder when x is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-6)*(-9)\/(-4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02681 + 418.77319. What is s rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**4\/4 - 29535*h**3 - 55654995*h**2\/2 - 55566395*h - 111073725\/4 = 0.\nAnswer: -22645, -981, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -4*m**3\/3 + 4*m - 440. Let v(q) be the third derivative of q**4\/24 - 7*q**2 - 4*q. What is v(f(b))?\nAnswer: -4*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086892 is divided by 1297?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45420 - -13210?\nAnswer: 60630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.081 + 6.319. Let v = 3.1 - a. Let l = 0.7 - v. Is l <= 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 6. Let c be n(0). Let d be 80\/c + 4\/6. Let m be (-17 + (5 - 4) - -3)\/((-18)\/18). Which is greater: m or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51428 divided by 23?\nAnswer: 2236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*q + 2*l - 26, 2*q - 4 = -4*l. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.7 (b) 13 (c) -0.11 (d) 0.3 (e) 0.2 (f) -0.2 (g) 3\/65\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 19. What is the least common multiple of 2 - (s + -2 + 1) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 3*l - 3. Let r = -94 + 92. Let k(n) = 0 - 2 - n + 3*n. Give r*v(x) + 3*k(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 738937 to the power of 1\/2, to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 - 32 + 19*a - 41 + 37.\nAnswer: 19*a - 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386167 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1164 and 150.\nAnswer: 29100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 4212\nAnswer: -5\/4212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 7:17 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1152 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 329 + -324. Suppose 4*x - 5*u - 25 = -x, 4*x + 5*u + 7 = 0. Suppose -x*z + k*z = 219. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-38))\/(384\/5952*186)\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 115 = 2*y. Let u = -4 + 9. Suppose -x = -u*x + y. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 68, 64, 60, 56, 52, 48?\n\"Answer: -4*m + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*r**6 - 4*r**5 + 8*r**3 + 116386*r**2.\nAnswer: -3240*r**3 - 240*r**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 2*t**2 + t + 2. Give n(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5746932 is divided by 957821.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687*z + 1320*z - 221756 = -81266 for z.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**2 - 859*n - 6080 + 799*n + 860*n = 0. Calculate n.\nAnswer: 8, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3914 - -3909. Put 0, w, 1, -2, -104 in descending order.\nAnswer: 1, 0, -2, w, -104","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - (-19 - 7 - 20) - (117 + 0).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-20)\/(-1) + 43 + 89021?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*y**3 + 3*y**3 + 0*y**3)*(5 - 3 - 4) + 0*y**3 + y**3 + y**3 - 3*y**3 + 5*y**3 - 4*y**3 - 2*y**2 - y**3 + 2*y**2)*(0 - 3 + 1).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 2.8133.\nAnswer: 0.28133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 277\/3 + -93. Let z = 0.2 - 0.2. Let o = 0.5 - z. What is the closest to -0.1 in 0.3, m, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10314002 + -2?\nAnswer: -10314004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - 20. Let q be (-3 - c\/10)*(3 - -5). Suppose -4*s = 12, -3*y + q*s - 3*s = -66. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84352?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -8*x + 3*x. Let d(w) = w**2 + 5*w - 10. Let h be d(7). Let l = h + -27. What is the remainder when l is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and 1004732.\nAnswer: -21099372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10*(11\/22 + -1). Let t(k) = k**3 + 11*k**2 - k - 11. Let h be t(-11). Let n be (0 - h) + 1 + 1. What is the nearest to -2\/3 in j, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/258113284 and 7\/2068?\nAnswer: 258113284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12814 and 13556020?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, z: 2}. Give prob of sequence zwwz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 6*a**5\/5 - 14*a**3\/3 - a**2 - 4732*a + 5052. What is the first derivative of v(s) wrt s?\nAnswer: 24*s**3 - 28*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-12))\/(1\/6*4). Let s be 5 + -2 - l - -529. Find the second derivative of s - 24*k**3 - 531 + 6*k + 8*k wrt k.\nAnswer: -144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.45 times 0.174125\nAnswer: -0.07835625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/((-54)\/(-291)) - 3\/18. Suppose 3*x - 67 = -w, -n - 60 = -4*x - 4*w. Calculate the remainder when 102 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-2*u**2 - 1 + 1) + 5192*u + 4206*u**2 + 1863*u**2 - 5192*u + 1339*u**2.\nAnswer: 7404*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 621 - 318. Suppose 0 = 2*t + t + r. Let g = 233 + t. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*k + 2, 11 = k - 281*x + 276*x. Which is greater: k or 37\/126?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 j when three letters picked without replacement from ssjjjhkjkujhu.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17*9\/(-306))\/(2\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -276 - -276. Let a = 51 - 87. Which is smaller: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*20\/120)\/43?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h + 0*h + h. Suppose 21*k = 6791 + 496. Let b(d) = -691*d + 349*d + k*d. Determine o(b(t)).\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 44 and 10226898219420?\nAnswer: 10226898219376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/((-1)\/(-1 + -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 129 + -128.7. Sort -0.7, 0.5, 6, z in decreasing order.\nAnswer: 6, 0.5, z, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15219, 13058, 10897, 8736, 6575?\nAnswer: 4414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2432*o**2 + 3382*o.\nAnswer: -4864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -1276169?\nAnswer: 17\/1276169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -80\/301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 16*v**4 + 2*v**3 - 7*v**2 + 7*v + 33. Let x(y) = y**4 - y**3 - y**2 + y + 3. Let d(p) = 4*b(p) - 44*x(p). Determine i so that d(i) = 0.\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -17*t - 43*t - 136 + 13*t - 15*t + 30*t**2. Differentiate g(c) with respect to c.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 150?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2 - 1)\/1)\/(-1). Suppose 0 = -5*u + 5*y + 39 + 116, 143 = 5*u - y. Let g be 8\/u*1\/1. What is the closest to g in 1, s, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.29041 micrograms in nanograms?\nAnswer: 58290.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 + 848*h - 7720. Let y be b(9). Let c be 3\/9 - (-9764)\/12. What is the greatest common divisor of y and c?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-36)\/3 - 0. Let g = b + -2. Suppose 3*p - m = 8 + 25, p - g = -5*m. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/4 + 639*a**2\/2 - 2592*a + 5208.\nAnswer: 3*(a - 4)**2*(a + 434)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 12:55 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021110011000 + -221?\nAnswer: -2021110011221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 3\/(90\/(-39)). Let t(s) be the second derivative of -3*s + z*s**5 + 1\/3*s**3 + 0*s**2 + 5\/6*s**4 + 0 - 3\/5*s**6. Factor t(k).\nAnswer: -2*k*(k - 1)*(3*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*w - 12. Let x(h) = 2 - 3*h**2 - 3*h - w*h**2 + 6*h**2. Give x(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12155244*o**3 + 4722366 with respect to o.\nAnswer: 36465732*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -507*w - 1531. What is r(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 23. Let o be 8 + -6 + y + 5. What is the units digit of 26 + 0\/o + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7*z - 112*z**2 + 5*z + 4*z - 6 + 4*z. Let j be y(1). Let x = -88 - j. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20342551, -20342580, -20342595, -20342590, -20342559, -20342496, -20342395?\nAnswer: -20342250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 17 = -2, -3*s = -f - 13. Suppose -f*x - 3*m = -8*m + 19, -10 = -2*m. Suppose -u - x = -5. Solve 0 = -u*d + 8 + 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.085 - -0.1498. Let d = -0.06803 + g. Round d to four dps.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/14 + -5\/56. What is the closest to 0 in 5, s, 4\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - 2) + (-80)\/2. Let z be (-9)\/12 + 1233\/k. Let x be (-21)\/(-35) + 16\/z. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 0.03 (c) 1 (d) 5427 (e) -4 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.3 (c) 5230072.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 86?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 727 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 68. Let k = d - 16. Suppose 5*r - s = 23, -2*s + 31 = 5*r + s. Calculate the smallest common multiple of r and k.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/108 + 34661\/(-54234) and -29\/1179.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j. Let a(l) be the first derivative of -l**2\/2 + 4. Let z(p) = -a(p) - 3*f(p). Let b(q) = 8*q**2. Give b(z(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 2:21 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 0 - (0 - 4). Suppose a*j - j - 6 = 0, 84 = 3*f + 3*j. Suppose 3*n - 8 = f. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -467 + 605. Calculate the remainder when q is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*y - 31375019 = -124*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28900700 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let c(p) be the first derivative of -p**4\/4 + p**2\/2 + 4*p - 2. Calculate the least common multiple of c(k) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -89999*p + 2. Let c(a) = -89999*a + 3. Let d(k) = -6*c(k) + 5*g(k). Let n be d(-8). Round n to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 987560.\nAnswer: -987567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 - 30*g - 15*g + 4*g - 3*g**3.\nAnswer: -2*g**3 - 41*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + -1)*7\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 14*p**2 + 31*p + 22. Let y be m(11). Let k = 9.3 - 9. Which is the third smallest value? (a) -0.2 (b) y (c) k (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 45930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 643013497 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -152557 (base 9) to base 13\nAnswer: -338b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622008958.\nAnswer: 2, 1453, 214043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 2 in increasing order.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - (sqrt(190)*1 + sqrt(190)))*1 - sqrt(190))\/(2*sqrt(810)).\nAnswer: -sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 3. Let m = 8 + t. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -361093.0680118?\nAnswer: 361092.7680118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o + 12*o - 6 = 0, 8*o = 4*a + 7*o + 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6508690720 to the nearest 1000000.\nAnswer: -6509000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 4*w**2 + 3*w - 3. Let d = -11 - -15. Let x be c(d). Let b = 17 - x. Solve -4*k - 5*v + 3 = -0*k, 0 = -3*k + 2*v + b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 39227, 39260, 39319, 39416, 39563?\n\"Answer: 2*n**3 + n**2 + 16*n + 39208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21, -17, 13, 75, 175, 319?\n\"Answer: p**3 + 7*p**2 - 24*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, v: 2}. What is prob of picking 1 y and 1 v?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 22. Let s be q(9). Let f = -141 - -284. Calculate the highest common factor of s and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/6)\/(3\/4). Let o = 5 + v. Suppose 5*d + 6 = 101. Solve -4*f + d = -s, o*f - 21 = 3*s - 0*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/55 in 2, -0.0712, 1\/2?\nAnswer: -0.0712","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Let h = 3.97 - 4.97. Which is the third biggest value? (a) -5 (b) v (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-76)\/(-3) + -4)*(-45)\/12. Let i = q + 177. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/37 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176833837 is divided by 1511?\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2666913.\nAnswer: 3, 113, 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + t - 1. Let j be m(1). Suppose 5*x - 2*b - 118 = 0, j*b = -13 + 5. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1025428142*l**5 + 1165581113*l wrt l?\nAnswer: 20508562840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**7\/210 - s**6\/40 + s**5\/20 - s**4\/24 + 3*s**2. What is t in f(t) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, g: 8}. Give prob of picking 4 g.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 884659 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooootooooo. What is prob of picking 3 o and 1 t?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*(sqrt(275) + 0 + sqrt(275) + 5 - sqrt(275))*6.\nAnswer: -180*sqrt(11) - 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2.5. Let f = -23 - -24. What is the nearest to -2\/5 in f, h, 3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 15*q**2 + 17*q - 40. Let j = -159 + 173. Let f be u(j). Solve 19*z - 21*z = f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 1. Let p be h(-4). Let u(g) = -g**2 + g + 4. Let f be u(0). Let n(k) = k**3 - 4*k**2 + k - 2. Let l be n(f). Solve a - l = p*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1064 and 98.\nAnswer: 7448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 674062743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 2\/5 (b) -2\/7 (c) 3\/4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 161 - 161 + 20*s**3 + s.\nAnswer: 20*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 0.5, -1\/5, 0.1, 2, 4, 827?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-18) - 1036\/(-126). Suppose 0 = -h + 28 - w. Calculate the remainder when 22 is divided by (-12)\/h - (-33)\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171136 a multiple of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21986\/483 - 30\/161. Find n, given that 4*n**4 + 32\/3 + r*n**2 + 112\/3*n + 68\/3*n**3 = 0.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6790, 0, -204?\nAnswer: 6790","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 4*i - 116, 4*g + 6*i - 4*i - 72 = 0. Let q be 16 - 2 - (22 - g). Solve -4*s - 2*s - q = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 0*c**2 + 14*c**3 - 20*c**3 + 21*c**3.\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 1:18 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153 - 526 - 65 - 693 - 2*c.\nAnswer: -2*c - 1437","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*m = -8*m + 70, 97 = 5*w - m. Let y(i) = 28*i - 157. Does 6 divide y(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 10:22 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 564408 and 3744.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from rdtrfrrh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4568609 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-105)\/14*(-7)\/(105\/12). Let w be ((-1)\/j)\/((-329)\/56 - -6). Is w != -0.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 + 6*s - 6. Let z(d) = d**2 + 7*d - 5. Let b be z(-7). Let t(a) = -2*a**3 - 5*a + 5. Suppose 0 = 7*l - 936 + 978. Calculate b*c(g) + l*t(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -10, 15 in decreasing order.\nAnswer: 15, 4, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 16*q + 4. Let y be o(-16). Suppose -y*b = 4*w + 12, b = -2*w - 0*w - 2. Suppose j = -2*j + 9. Solve -2*a = -j - w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**5\/30 - u**4\/6 + 2*u**3\/3 + 9*u**2. Let o be p(12). Suppose -8*i + 4*i = -o. What are the prime factors of i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.74678kg to grams.\nAnswer: 24746.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 84 - 4?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 10.42, 40, -4\/3?\nAnswer: 10.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -532 (base 11) in base 15?\nAnswer: -2ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 18 = -0*u. Let g(q) = 3*q**3 + q**3 + 4*q**3 - 7*q**3 - 1 + 0 - 6*q**2. Give g(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 9936327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**4\/3 + t**3\/3 + t**2 - 69*t + 42. Let u(d) be the first derivative of k(d). What is u(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/1455*34\/(3740\/99))\/(6\/(-8)).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*m, d - 4*m + 0*m = 84. What is the second biggest value in -2\/19, -2, d?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 352 (base 14) to base 15\nAnswer: 2e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 712, 717, 732, 763, 816, 897?\n\"Answer: w**3 - w**2 + w + 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllmmllmllmmmmlllmm. Give prob of picking 4 l.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 779 = -186*d + 489 + 2150. Solve 0 = 5*x + 3*s + 18, 21*x - 23*x - d = 4*s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3457*w**3 - 3*w**2 + 23*w - 21. Is z(1) a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3740 and 2255.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23768 + 20300 + 16552 = -6062*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*y + 41, -17 = 4*u + 5*y - 72. Let j = -2032 + 2048. Let t(i) = -j*i - u*i + 29*i - 4. Calculate t(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {g: 2, j: 10}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 7 = -9. Let a(f) = 6*f**2 + 5*f. Let p(g) = 0*g**2 + 11*g**2 - 4*g + 13*g. What is w*p(h) + 7*a(h)?\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 4*r**2 + 2*r - 6. Let a be h(4). Is 2 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-18) - 238\/(-63). Suppose 4*y - 4*c - c = 28, 0 = r*c. Let t = 13 - y. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 1 + 1 - -4. Suppose -g - 4*n = 3*g - 72, -2*g = -s*n - 1. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6*r + r = -21, g - 9 = -r. Suppose 0 = -2*a + g*t, t = -4*a - t. Suppose 4*w - 1 = 7. Which is smaller: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from haahahhhhhaahh.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-3 + -19 + -11) - (-3 - -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -111201 (base 3) in base 4?\nAnswer: -11302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -37. What is the remainder when -1*(3*-2 + -1) is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 622, 1244, 1866, 2488, 3110?\n\"Answer: 622*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 8*j - 5. What is o(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11716 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2133130300 (base 4) to base 9.\nAnswer: -1204801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*5*(sqrt(117) - (2 + sqrt(117) + 0)) + (2 + (sqrt(117) + (sqrt(117) + 2*(sqrt(117) - (2 + sqrt(117))) - sqrt(117)) - sqrt(117)))*3)*3)**2.\nAnswer: 6084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 176\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, q: 2, j: 2, x: 1}. Give prob of picking 1 x, 1 j, and 1 o.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**3\/5 + 612*b**2 + 234090*b = 0?\nAnswer: -765, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*w + 26*w - q + 13, w + 5*q = 23 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p**(-5)*p)\/p)\/p)*(p**(1\/4)\/p)\/p*p)\/(p**(-4)\/(p**4\/p)))\/(p**(1\/6)*p**(-3\/7)*p*p**4*p**(-2\/7)) assuming p is positive.\nAnswer: p**(739\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-9))\/f**(-6))\/(f\/(f\/(f\/f**7))*f\/((f*f*f*(f\/(f\/((f**4*f)\/f)*f))\/f*f)\/f)) assuming f is positive.\nAnswer: f**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001214681 to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-8) + 11\/(-4). Let c be 1 - (-2 + u + 1). Suppose -l - l = c*r - 36, 3*l - 4*r = 8. Solve 2*p = 2 - l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/7, 10, -3, -44, 1\/6?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 - 41*l**2 + 17*l + 15. Calculate s(-14).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1486 is divided by 738?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (109 - 12 - 12) + -30 + 2?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 166 divided by -10160\nAnswer: -83\/5080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29865462 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2744)\/(-147))\/(-14)*-2*3\/(-44).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -0*r + 8, 3*c = 2*r + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/5841 and -46\/2481.\nAnswer: 4830507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 4*y, 0 = 4*t - 0*y + 2*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4919.\nAnswer: 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 12 = -3*x. Let l be 2\/(-12) - (-26)\/x. Suppose -l*n = -4*n + 48. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1133 (base 4) to base 13.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -253 + 214. What is the remainder when 75 is divided by (8\/24)\/((-1)\/x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 13*q**2 + 18 - 54 + 17.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 43, -1\/4, -0.1, 2\/69?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z - 2*z + 0*z - z + 0*z + 0*z + (-2*z + 3*z + 0*z)*(-3 + 4 + 1) + (-4 + 4 + 2*z)*(1 - 3 + 4).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3\/8, -0.3, 5, -6 in decreasing order.\nAnswer: 5, -0.3, -3\/8, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h - 11*h + 5*v = 15, -2*h = -5*v + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.387 - -156.387. Let r = k + -308. Let f = -147.81 - r. Round f to one dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 849.8695 microseconds?\nAnswer: 849869.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/12 and -107\/788022.\nAnswer: 1576044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5245, 5243, 5241, 5239, 5237?\nAnswer: 5235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22726 - 22708. Let v(n) be the third derivative of 144*n**3 + 0 + 6\/5*n**5 + 1\/30*n**6 + 0*n + l*n**4 + 36*n**2. Factor v(g).\nAnswer: 4*(g + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/891 and 49\/165.\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 225*s**3*x**3 + s**3*x - 2*s**2*x**5 + s**2*x**2 + 146*s*x wrt x.\nAnswer: 1350*s**3 - 120*s**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*f, 3*n + 5*f + 19 = 3. Suppose -3 = n*z, 0 = -2*x + z - 0 + 31. Suppose -3*d = -d + 5*y - x, -4*y - 11 = -3*d. Solve d*r + 0 = -25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5588, -5587, -5588, -5591, -5596, -5603, -5612?\n\"Answer: -r**2 + 4*r - 5591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 10*d + 24. Let y be g(4). Suppose w = -5*s + 3*s + 11, -2*s + 2*w + 8 = y. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 260 (base 8) to base 7\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008 less than -8.9?\nAnswer: -8.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (76\/(-3))\/(32\/(-12) + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1757690272 to 3 decimal places.\nAnswer: 0.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5, 4*i = -5*y - 0*i - 301. Let h = y + 66. Suppose -z + 188 = h*k - 234, -94 = -k + 3*z. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 170 + -1532\/9. Suppose -2*s = -5*j - 23, 2*j - 13 = -2*s + 5*j. Is u bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**3 + y**2 - 4*y + 2. What is the remainder when (-2277)\/(-18) + (-12)\/(-8) is divided by m(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 794 - 720. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 - 706*y**2 - 5*y - 3. Let l(h) = -5*h**3 - 1418*h**2 - 11*h - 7. Calculate 6*l(t) - 14*o(t).\nAnswer: -2*t**3 + 1376*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 + 2*a + 5*a**3 + 9*a + 46 + 26*a**3 - 8*a**3 in the form r*a**3 + l*a**2 + n + b*a and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 3*j**2 - j + 5. Let r be s(0). Suppose -q + o + 9287 = 0, 12298 = q + r*o + 3011. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187 + 187.093. Let l = -17.907 - p. Let x = l + 17.9921. What is x rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -803 + 827. Calculate the remainder when 67 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/9)\/i**2)\/((i\/(i\/(i**(-2\/11)*i)))\/i*(i*i\/(i**(-2\/21)*i))\/i*i) assuming i is positive.\nAnswer: i**(-2327\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3753148, -7506296, -11259444, -15012592, -18765740, -22518888?\nAnswer: -26272036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d - 4*d + 2*d. Let o(p) = 10*p**2 + 7*p - 7. Let g(m) = 3*m**2 + 2*m - 2. Let q(r) = -21*g(r) + 6*o(r). Calculate i(q(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h - 1. Let d(s) = s - 1. Let m be d(2). Let p be f(m). Let r(g) = -2234*g - 20104. Let a be r(-9). Put -4, p, a in ascending order.\nAnswer: -4, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 916 - 1?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 22 = -2*d, 14*u - 3*d + 13 = 10*u. Let f be -1*u\/(-6) + (-218)\/6. Is -34 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -176 + 176. Solve l = 3*g - 0*g - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 + 15*c**2 - 901. Calculate v(-12).\nAnswer: -2197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -59*f + 1. Let j be p(-1). Let t = j - 52. Let n(m) = -t*m**2 + 17*m**2 + 2*m**3 - 3*m**3 + m**2. Give n(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n*n)**3 assuming n is positive.\nAnswer: n**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*b**3 + 8*b**2 - 4*b**2 - b + 2*b - 2*b**2 in the form l + p*b**2 + d*b**3 + q*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2816796*d**3*g**2*p**3 - d**3*g**2 + 1157*d**2*p**3 + 10*d*g**2*p**3 + 17*g**2*p**2 wrt d.\nAnswer: -16900776*g**2*p**3 - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*j - 2. Let w be j\/(-7)*21\/(-3). Solve 2*f + 10 = w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 7*q - 386 = -4*d, -3*d - 4*q = -302. Suppose -2*l - d = -274. Suppose -2*j = l - 578. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 42556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/13))\/c**(-1\/29))\/((c**(-3\/2)\/c)\/c)**38 assuming c is positive.\nAnswer: c**(50502\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i + 4. Let b be 27\/324 - 13\/12. Do b and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 5*o - 5*o - 29 to the form h + q*o and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by -64.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/1 - (0 + (-66)\/(-32)) and 139\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 86 - 2 - (-4 + 1 + -1). Suppose 4*l = 5*s + 6*l - 241, -2*s - 5*l + m = 0. What is the remainder when 145 is divided by s?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225414.6 centimeters to kilometers.\nAnswer: 2.254146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 581 - 532. What is the remainder when 186 is divided by h?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2192 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2221813314?\nAnswer: 2, 3, 7, 1373, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 109*z - 221 + 172 - 169 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4399381, 4399504, 4399627?\nAnswer: 4399750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-10) - (-21)\/5. Let w be -1 - (0 + -1 + -2). Let u be 5\/((2 - 3) + w). Solve c*g + g = -u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3972236677?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 2. Let m be p(-4). Are m and 3\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*c - 16 = -62*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0048 > -1\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5389*m + 4740*m - 17416*m + 5175*m to the form y + k*m and give k.\nAnswer: -2112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 20\/9, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221022211102 + -210?\nAnswer: 221022210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79353, 79354, 79355?\nAnswer: 79356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048809 times -4443?\nAnswer: -216.858387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 7*z**2 - z. Suppose 8 - 4 = 4*p. Determine b(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 60921771 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0, -31.45, 0.4, -1\/7 in ascending order.\nAnswer: -31.45, -19, -1\/7, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = -1. Suppose 54 = g*y - 0*y. What is the smallest common multiple of y and 3\/((-6)\/(-4)) - -16?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, -2.8, 5, 5\/2?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 64\/5 of a millennium?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105 + 110. Suppose 7*m - 2*m - 201 = -3*o, p*o + 68 = 2*m. Calculate the remainder when m is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42094748 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -999, -3973, -8931, -15879, -24823, -35769?\n\"Answer: -x**3 - 986*x**2 - 9*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(15)\/(-3*sqrt(5)) + sqrt(3) + sqrt(3)).\nAnswer: 3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 349193027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 177 - 1595\/9. Let c be ((-20)\/8 - -4) + (-65)\/52. What is the closest to c in g, -4, 3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55742749.\nAnswer: 43, 1296343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -0.5. Let s = h + -0.15. Let i = s - 0.0500006. Round i to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7320020839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**3 + 66*u**2 + 33*u - 9. Let p be t(-21). Calculate the greatest common factor of p and 351.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = a - 3. Let h be (-1)\/((a\/(-1))\/10). Let f(g) = -g - 9. Let y be f(0). Is y < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36709, 36708, 36707, 36706, 36705, 36704?\nAnswer: 36703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91 and 2548?\nAnswer: 2548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -307300 divided by -35\nAnswer: 8780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2786048898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 21581?\nAnswer: -2157e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 401?\nAnswer: -120.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n, 0*z - 232 = 4*z - 3*n. Is 119549\/9 - z\/(-261) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 bigger than -1675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 570 and 33720.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -39. Suppose -p - 11 = g*q, -p = -3*q - 5 - 4. Let k(s) = -s + 2. Determine k(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 - 10*y**2 + 5 - 1 - 4.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 2512617\nAnswer: -1005046.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10199146?\nAnswer: 2, 421, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1398 + 1489 - 6496*a**3 + 546 + 1607 wrt a.\nAnswer: -19488*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 868 and 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -674 - 4?\nAnswer: -678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1002 (base 3) to base 12\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*(320\/(-112))\/(-10))\/(133\/(-7))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 51260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1889161.\nAnswer: 151, 12511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, j: 3}. Give prob of sequence jcj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3512 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbb. Give prob of picking 4 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*j + 23, -j + 1 = -3. Suppose -235 = -4*x + 29. Let c = -34 + x. Calculate the remainder when c is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnntnntxtnttnrrtrnn. What is prob of picking 2 n?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + -11120b?\nAnswer: -11121a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -535*m - 1292*m + 338*m - m + 3 - 3 + (0 - 6 + 3)*(-4 + 4 - 2*m).\nAnswer: -1484*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 13 + 2. Let w be (-1)\/((-19 - 4)*-1). Let s = w - -51\/115. What is the second biggest value in y, -1\/2, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(190) + 1*sqrt(190) - sqrt(190))*-6)\/((sqrt(1440)*3 - sqrt(10))*-2).\nAnswer: 3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116.2618 + 0.0618. Let v = 116 + a. Put v, 0.01, 0.2 in decreasing order.\nAnswer: 0.2, 0.01, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*((-1 + 1 - 1)*(4*l - 2*l - 6*l) - 1 + 1 + 2*l).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 23. Let y be l(-9). Suppose y*c = -49*c + 108. Solve -3*i + 4 = -4*x, c*i = -3*x - 0*i - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132 + 661\/5. Let i = 0.8 - 0.2. What is the second biggest value in j, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 - (3 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, 1\/6, -2\/71 in ascending order.\nAnswer: -2\/71, 0.09, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.07 - -0.07. Which is the biggest value? (a) 0.4 (b) 1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 930303 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -103, -898, -3267, -8062, -16135?\n\"Answer: -142*v**3 + 65*v**2 + 4*v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, t: 11}. Give prob of sequence tttt.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - 3. Let i = h + 151. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(7\/3))**(2\/25) assuming y is positive.\nAnswer: y**(14\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -499 - -8?\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 150\/40 + (-1)\/(-4). Differentiate -4*x**4 + 0*x**d + 0*x**4 + 3 - 2 wrt x.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/21)*t**(1\/7))**(-39) assuming t is positive.\nAnswer: t**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 4*i - 27. Let c be z(8). Suppose -t + g - 53499995 = 0, 0 = -c*g - 15 - 10. What is t rounded to the nearest 1000000?\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162278 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -18.2. Is -6\/13 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 49 = 2*i, 4*n + 56 = -4*i + i. Let b = 15 - i. Let w = 29 - b. Solve 0 = w*h - 0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3304? (a) -0.2 (b) 0.3 (c) 2 (d) -4.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 13. Let l be y(6). Let w = -29 + l. Let o = 14 + w. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, 3\/28, -0.01 in ascending order.\nAnswer: -87, -0.01, 3\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1958100 to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + sqrt(3) + 5.\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77.17 - -77.07. Sort 2, -1\/2, -26, g, -7.6 in descending order.\nAnswer: 2, g, -1\/2, -7.6, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.2205121 and -5?\nAnswer: 16.1025605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -1402*l**5\/15 - 997*l**3\/2 + 3370*l**2. What is the derivative of g(y) wrt y?\nAnswer: -11216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 927, 1966, 2993, 4002, 4987, 5942, 6861?\nAnswer: 7738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 737 = 3*m, 12*m - 7*m + d = 1217. Suppose 0 = -5*j - 14 + 39. Suppose -123 = -2*t - 3*w + 39, -j*w + m = 3*t. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h + 1004 = 843 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-2)*((8 - 3) + 1). Put m, 0, -7 in descending order.\nAnswer: 0, -7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 190804 = -2*a, -3*a = -y + a + 63592. Suppose 0 = -3*g - g + y. Round g to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 + 20015*s**2\/3 - 15934984*s + 10176315396.\nAnswer: -(s - 17363)*(s - 1326)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26095279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 - 2*s**2 - s. Let l be d(-1). Let p be (l\/2)\/(1\/4). Suppose -32 = -p*z + 74. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 5, d: 9, r: 5}. Give prob of picking 1 r and 1 n.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - -58. Let f be ((-120)\/9)\/((-6)\/9). Calculate the greatest common divisor of b and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43784.244 rounded to the nearest one thousand?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 142940 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 - 6*d - 7. What is the tens digit of q(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -25, -5\/4, -5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g**4 - 1 - 13*g**4 + g + 3*g**4 to the form k*g**4 + p*g + f*g**2 + o*g**3 + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5 = k, -4*k + 5 = -4*f - 3*k. Suppose -h = -f*h - 2. What is the third derivative of -3*q**2 - 6*q**5 - h*q**2 + 2*q**5 wrt q?\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -20*j - 25. Let n be (3\/6)\/(1\/12). Let s(y) = -5*y - 6. Determine n*z(i) - 25*s(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w + 29*w = 400. Let n = -10 - -1. Let l = w + n. What are the prime factors of l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, f: 2, k: 4, w: 1, s: 3, h: 4}. What is prob of sequence kfhe?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-6))\/(-4)*12\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 - ((-5 - 17 - (77 - 93)) + 132).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 + 99*o**2 - 108*o + 199. Is 102 a factor of w(-46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 9. Suppose g*a - 3*a = 0. Let j(f) be the first derivative of -f**2\/2 - f - 18. Calculate j(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64040540 (base 7) to base 13\nAnswer: -117aa33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 586174947 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13399867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2064330 is divided by 907.\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 137533*a*n + a*y**2 + 2*a*y - 312*a - 826*n*y**2 - 17*y**2 - 109*y wrt n?\nAnswer: 137533*a - 826*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60927 - 212177 = -2750*m for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7*((-132)\/(-12))\/(-11)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*f**2 - 71*f**2 - 78*f**2 - 70*f**2 + 294*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-1301923\nAnswer: -1301922.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2. Let j(b) be the third derivative of 3*b**5\/20 + b**4\/12 + 10*b**3\/3 + 27*b**2. Let q(u) = -6*g(u) + j(u). Is q(6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24549 or 1?\nAnswer: -24549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 7 = -f, -46 = -4*z + 8*z - 2*f. Let i be 8\/(-60)*-3 - 16\/z. Which is the nearest to -0.1? (a) i (b) -2\/5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76682\/5 or -15337?\nAnswer: -15337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 202067392 to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 933, 934, 935, 936, 937?\n\"Answer: r + 932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2219, 4579, 6941, 9305, 11671, 14039?\n\"Answer: q**2 + 2357*q - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 8 + -5 + -3. Let c(n) be the first derivative of 4 + 1\/2*n**m - 5*n. What is the first derivative of c(j) wrt j?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -0.8. Put n, 2\/5, 3 in decreasing order.\nAnswer: 3, n, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1161290 and 83\/10.\nAnswer: 1161290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 = 4*a - 0*a. Let f = a - 52. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3601 + -3586. Sort 16, v, -4 in decreasing order.\nAnswer: 16, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16061081.7 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 16\/3 (b) -0.1 (c) -1\/5 (d) -106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24256621, 24256622, 24256623?\nAnswer: 24256624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 64 + 64. Let r(o) = -18*o. Calculate u(r(z)).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5 + 4 + 1 + 11*t**2. List the prime factors of s(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 8. Let o = -8.3 - -8. Let l = -2.3 - o. Which is smaller: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from hoosz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 116\/12 - (-2)\/(-3). Let b = -6 + x. Suppose 5*i + 3*k - 40 = 0, i + 2*k - 8 = 7*k. Solve 0 = -b*n + n + i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w. Let o(u) = -u**3 + 11*u**2 - 9*u - 10. Let c be o(10). Let i(j) be the first derivative of 1\/3*j**3 + 1 + 0*j**2 + c*j. Determine z(i(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56956 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -1803\/68 and -28 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95441 is divided by 23857?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.6 + 25. Let f = r + -5. Which is the third smallest value? (a) f (b) -2\/9 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1185 + -1196.36. What is p rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461783.\nAnswer: 7, 41, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4676.\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61971 + -61967. Suppose -2*w - 5*g + 32 = 2*w, 3*w + 5*g - 24 = 0. Solve -o*f = 8 + w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (4\/5 - 77\/(-35)). Suppose 3*q - 5*b = 26 - 13, 0 = -3*q + p*b + 17. What is the remainder when q is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + 262398*s**2 - 47 - 262398*s**2.\nAnswer: s**3 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.003 (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = k + k. Let y be (-334)\/(-6) + 2\/k. Differentiate -49*g**4 + 7 + 0 + y*g**4 with respect to g.\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 11 = 3*a. Let y be (-7 - 17)*a\/6. Suppose -5*w - y = -4*x, 0*x = -x - 3*w + 3. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 8*x - 7*x - 5518, 4*x = -8. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2475*-0.2\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -617 - -229. Let s = -261 - u. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000162844764 to 7 decimal places.\nAnswer: 0.0000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b + 10 + 34 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.756 - -0.96. Let x = 0.1 - j. What is x rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 + 9*s + 10. Let r(n) = -2*n**2 - 4*n - 5. Let u(h) = 3*l(h) + 7*r(h). Let f = 29 + -35. What is the units digit of u(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2, -2\/3, -1\/3, -2, 840 in descending order.\nAnswer: 840, -0.2, -1\/3, -2\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -53863 + 1005928312\nAnswer: 1005874449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0.1, -3, -6, 0.037?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**5\/5 - 2*q**4 - 49*q**3 + 127. Find the third derivative of o(g) wrt g.\nAnswer: 24*g - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/15 (b) -0.0723592 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/7 of a week?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, t: 2, i: 1, n: 1, z: 1, j: 1}. Give prob of picking 1 n and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 10 - 350\/(-154)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4077*u + 22572. Calculate k(-6).\nAnswer: -1890","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 439.18.\nAnswer: -431.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/y**(4\/5)*y*y)*y)**8\/(((y**(-2\/9)\/y)\/y*y)\/(y**16\/y*y)) assuming y is positive.\nAnswer: y**(1063\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -251\nAnswer: -1\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2361 = 5*m, 2*m = -2*q + 1194 - 246. Calculate the remainder when m is divided by 72.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 - 556 = -5*d - 3*o, -5*o = -4*d + 310. Let c = d - 44. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 366 + -363. Suppose 4*f - 37 = -5*w, g*f - 16 = -4*w + 13. Solve -1\/6*q**f - 1\/3*q**2 - 1\/6*q + 0 = 0 for q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m + 54. Let o(q) = 13*q - 106. Let n(c) = 3*o(c) + 5*y(c). What is the lowest common multiple of 382 and n(13)?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 745\/3 + -248. Let n be 5 + (-96)\/18 + (-8)\/30. Which is the third smallest value? (a) n (b) -0.1 (c) 1 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -9, -2, 18, -23280 in increasing order.\nAnswer: -23280, -9, -2, 3\/2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1481844*c**3*z + c**2*z - 1489*c*z - 35*z + 3 wrt c.\nAnswer: 8891064*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 4*x + 48. Let m be r(0). Suppose -3*n = -9*n + m. What is the lowest common multiple of n\/(-12) - 3\/((-9)\/101) and 15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 860, 851, 428, -745, -3004?\nAnswer: -6685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/14)*y\/((y\/y**(5\/3))\/y*y) assuming y is positive.\nAnswer: y**(67\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x**2 + 33*x**2 - 3*x**3 + 5*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**2 - 2173*h - 80214. What is o(396)?\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13e (base 15) to base 14.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 835 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 254251841 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from vpzmtvmvtv.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28\/57 + 3079\/114. Calculate the common denominator of (-75)\/(-10)*(-6 + 274\/50) and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*c + c + 2, n + 5 = 0. Let l(d) = -15*d**3 - 7*d**2 + 7*d + 7. Let x(k) = 7*k**3 + 3*k**2 - 3*k - 3. Give c*l(j) - 7*x(j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -9*t**3 + 46*t**2 - 7*t + 25. Let b be j(5). Is b less than or equal to 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6 (b) 1\/3 (c) -2187 (d) -5 (e) -2\/5 (f) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10148087.\nAnswer: 10148087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blbbhlblblbbbhhh. Give prob of sequence blhb.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*k + 2*o - 601, -5*o = 2*k - 386. Let r = -119 + k. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 138 - 43. Let s = -67 + k. Calculate the common denominator of 11\/7 and (-2)\/(-5) + s\/(-8).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqaqqmqmmmmqm. What is prob of picking 1 m and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1. Let d(f) be the second derivative of -f**3\/2 - 21*f**2\/2 + 486*f. Give d(z) + 15*m(z).\nAnswer: -3*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, 18\/5, -3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1835987.\nAnswer: 691, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000014222103 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -135*f + 14. Let p be l(-3). Suppose -5*t + 2*z = -p, 5*t + 5*z - 33 - 407 = 0. Let d = t + -41. Is 44 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.7 + -8. Let f = -3 - -2. Which is the second smallest value? (a) k (b) 3\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1059\/49 or 3.2?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from reeemgmeeeereeeb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 3. Let l(h) = 6*h - 1. Let i be l(z). What are the prime factors of (-4)\/10 + 42\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5287*n - 629233. Give q(-119).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 212*(-5)\/(-1 - -11)*1. Let x = 97 - c. List the prime factors of x.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2875373*w - 2875340*w - 660 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 13 - (7 + -13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24400 is divided by 4045?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 261.7 + -235. Round r to 0 decimal places.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2214 - -11032\/5. Let y = -12 - -60. What is the common denominator of y and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 806*g**3 + 409*g**2\/2 + 10*g + 8629. Find the second derivative of o(r) wrt r.\nAnswer: 4836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1358 and 56?\nAnswer: 5432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 0*x + 4*q + 14141, 3*x - 3*q = 14145. Let j(z) = -x*z - 2340*z + 19 - 498*z - 6. Let m be j(9). What is m rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-194)\/(-22) + (-4)\/(-22). Let f(r) = 13*r + 10. Is f(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -17*t + 199. Let y(g) = -2*g + 24. Let c(a) = 2*k(a) - 18*y(a). Give c(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/7)\/((-344)\/(-28) - (25 - 13)). Let u(w) be the first derivative of 0*w - 5 + 0*w**t - 26\/3*w**3. Let g(c) = -2*c. Calculate g(u(s)).\nAnswer: 52*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, h: 1, j: 2, e: 1, t: 1}. Give prob of picking 1 f and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 609825.1s to nanoseconds.\nAnswer: 609825100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78960713*b**2 + 5*b - 8365532.\nAnswer: 157921426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 2. Let h be (-33)\/(-2)*(-6)\/(-9). Suppose 3*u - h = 1. Give s(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194, -563, -932, -1301, -1670?\nAnswer: -2039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*q + 2 = 8, 2*p - 2*q + 2 = 0. Suppose -2*i = 5*v + 18, 5*i - p*v + 2 = -12. Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71929?\nAnswer: 11, 13, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -66*g**3 + 17*g**2 + 66*g**3 + 2600*g**4. Let k be b(1). What is k rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 9 - 1)*(4 - 1 - 2) + (1 - 1 + 3)*(-4 - 3 + 6))*(k + k + 0*k).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 47*m + 157. Let t be u(45). What are the prime factors of (t + -66)\/((6\/(-508))\/(-3))?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*w**2 + 34*w**2 + 11 - 4 - 6 in the form h + i*w**2 + q*w and give i.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7309 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1625505.\nAnswer: -6502020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 20 = -5*x - 0*r, 4*x + 5*r = 33. Suppose -3*v = x*v. Let w = -13\/8 - -7\/8. Is v at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 8*n**2 + 7*n + 4. Suppose -2*g + 1 - 7 = 0. Calculate the smallest common multiple of 20\/4 - 9\/g and m(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 8:31 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 0.2 (c) -1 (d) 1 (e) -1173\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*x + 12*x - 750. Suppose 19 = 2*u - 253. Suppose 0 = -3*w + u + 128. Calculate the remainder when w is divided by x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13112 + 9*i - 13394 - 8*i + 2*i - 832*i**2 wrt i?\nAnswer: -1664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -21111010?\nAnswer: 21111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - 3*w**2 - 3*w**2)*(0 + 0 - w**2) + (-w + 4*w + w)*(w**3 + w - w) - 172*w**4 + 86*w - 86*w.\nAnswer: -166*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 12:32 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-4\/9)*n**(-15))\/(n**(2\/7))**(-7\/5) assuming n is positive.\nAnswer: n**(-592\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**3 - 89*v**2 + 23*v + 51. Let r be x(-30). Put r, -2, -2\/7 in decreasing order.\nAnswer: r, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41807368 rounded to four decimal places?\nAnswer: 0.4181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, -2\/9, -9\/2, 0.6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 less than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*p - 4 = 2*p, 5*p + 15 = 0. Let g(c) = 5*c - 6 + 1 + 0*c + 10*c**2. Let z(m) = -5*m**2 - 2*m + 2. Give v*g(y) + 5*z(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-3)*(-2)\/5. Let g(m) = -2 + 0*m + 3*m + 5 + m. Let b be g(y). Let z(n) = -n**3 - 5*n**2 - 2*n - 4. What is z(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 8*v**2 - 7*v + 10. Let d = 8 - -21. Calculate the remainder when d is divided by l(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**4\/6 - 7*p**3\/6 - 6*p**2 + 10*p. What is the least common multiple of 106 and q(5)?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -3) + (-2)\/(-1). Factor y + 0*y + 2 + y - 2*y**v - 2*y**3 + 0.\nAnswer: -2*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 31*c - 29*c. Are c and -25\/8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhvgghgghwhghghhghgv. Give prob of sequence ghw.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 8030088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3075501 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*v**3 - 141*v - 1 - 10*v**4 + 9*v**4 - 25*v**3 + 5*v**3 - 2*v**2 in the form r*v**2 + x*v**4 + p + z*v**3 + m*v and give m.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/25*5\/2. Let u be h\/2*(-24)\/126. Which is the nearest to u? (a) 0.4 (b) 3\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51536, -102872, -154168, -205424, -256640?\nAnswer: -307816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmkxgkppkkkxp. What is prob of picking 2 x and 1 k?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**2 + 4*c + 993*c**3 + 4 + 213*c**3 - 1201*c**3. Let i(w) = -w**3 + w**2 + w + 1. Let z = 4 + 0. What is z*i(l) - b(l)?\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 - 2*o + 21. Let x be c(-8). Suppose -248 = -x*g + 163*g. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -439*m**4 - 117527*m**3 + 5276*m + 13459 wrt m.\nAnswer: -5268*m**2 - 705162*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 44 - 31. What is the hundreds digit of (8120\/15)\/(c\/45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5429668.\nAnswer: 2, 19, 71443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -4*q + 8*q. Solve q = 3*x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, t: 2, m: 2, u: 6, h: 3, y: 1}. What is prob of picking 2 u, 1 b, and 1 m?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -4, -0.5, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7 + 4 + 151 - 715*p - 10 wrt p?\nAnswer: -715","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 210787, 210786, 210785?\n\"Answer: -g + 210788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 142907 divided by -16\nAnswer: -142907\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -22523 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 8:06 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 at most as big as 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**3 - v**2 + v. Let n be k(1). What are the prime factors of 28\/(-8)*n\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*l + 238 = -323, w + 4*l = 179. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -21*x + 4. Let o(r) = -r - 1. Let h(t) = 4*o(t) + v(t). Let z(a) = 2*a. Determine z(h(q)).\nAnswer: -50*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*g - 1564 - 2050. Let r = -268 + g. Solve -r*j + 13*j = -9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 0 - 26\/21*c**7 + 0*c**5 - 6*c - 127\/24*c**4 + 0*c**3 + 0*c**6 - 15*c**2. What is the second derivative of k(p) wrt p?\nAnswer: -3120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8920 - 12750. Is d\/(-55) + (-1)\/(-2)*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7300145 + -0.73. Round m to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/((-85)\/30)*(-12)\/18. Sort 1\/40, -4, l in descending order.\nAnswer: l, 1\/40, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12686401556 rounded to the nearest 100000?\nAnswer: -12686400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(160)*2)\/sqrt(5) - sqrt(32)) + (sqrt(8) + (sqrt(8)*2 - sqrt(8)))*-3 + -1.\nAnswer: -1 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2957 (base 12) to base 14.\nAnswer: -1a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39000 and 432000?\nAnswer: 5616000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5494 and 5494.\nAnswer: 5494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256520?\nAnswer: 2, 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 + 165157*n\/3.\nAnswer: n*(n + 165157)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 171\/18 - -5)*(-104)\/(-39).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a tonne in kilograms?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0*n - 10, 2*q + 37057 = -5*n. Is ((2 + q)\/(-2))\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4)*(-5)\/(-10))\/((-1)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4585 + 13063691\nAnswer: 13063690.5415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**4 + 3*j**4 - 5*j**4 + (2*j + 3 - 3)*(-3*j**3 + 1 - 1) - j**4 + 5*j**4 - j**4 - 1 - j**4 - j + j as z*j**2 + m*j + c + y*j**3 + o*j**4 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 156 - 312. Let z = f + 155.99999871. Round z to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -3\/8, -2\/33, -7194, 1?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4\/7 + 88*l**2\/7 + 288*l\/7 + 256\/7 = 0. What is l?\nAnswer: -4, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*o**4 + 20*o**4 + 2*o**4)*(2*o + 0*o - o) + 33*o**2 - 33*o**2 + 28*o**5.\nAnswer: 69*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-24))\/(q**(-38)\/q))**(-3\/13) assuming q is positive.\nAnswer: q**(-48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 1350 = -7*g. Let s be (-2)\/(-7) - g\/(-42). Let z(q) = -q**2 + 14*q + 6. List the prime factors of z(s).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 291580?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -940065, -940065, -940063, -940059?\nAnswer: -940053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2944466.\nAnswer: 2, 7, 210319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48246824\/57 or 846436?\nAnswer: 48246824\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22605\/8 - -2826. Let k = 4\/61 - -167\/244. Is k less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 33206982.\nAnswer: 132827928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.308 times -0.1\nAnswer: -0.1308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 20 = -0*u + 4*u, 5*i = -3*u - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0032743737 rounded to 5 decimal places?\nAnswer: -0.00327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i = -3*p - 10*i + 696, -2*p - 2*i + 468 = 0. Suppose f = -0 + 2. Suppose -s + 2*s = -f*b + p, s - 5 = 0. Is b a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y - 41. Let u be i(-14). Let f(h) = 5 - 44 - 13*h - 37 - u. Is f(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 7:50 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1073*r + 140585 = 142*r - 3604*r for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 62310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 16. Let y(d) = -d**3 + 6*d**2 + 6*d - 9. Let g be y(7). List the prime factors of f(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (7 - 26) - 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k - 11. Let t be p(4). Solve -4*q + 3 = -t*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 90*k + 16912. What is m(-191)?\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-149 + 105 - 253)*(296 - 296 - 28*q) to the form t + l*q and give l.\nAnswer: 8316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 541 - -2300b?\nAnswer: 23550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 9*s**2 - 11*s + 6. Let p be f(10). What is the closest to 2\/7 in 2, p, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -34. Differentiate -3 - 1 + q - 8*s**2 - 2 with respect to s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24, -26, -28, -30, -32?\n\"Answer: -2*p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 225*r + 904. Determine y(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9e - 3?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*j**3 - 99*j - 2 wrt j?\nAnswer: -216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 + 2*x - 1. Let k be d(1). Let h(z) be the second derivative of -7*z**4\/6 - z**2\/2 - 35*z - 345. What is h(k)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*z = -158*z - 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 87543, 87547, 87549, 87549, 87547?\n\"Answer: -n**2 + 7*n + 87537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 10:16 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(1\/(-7))*-3. Let x = 123 + -122. Is 14*(x - (-3)\/u) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Suppose -r = v + v. Let n be 252\/27 + v\/3. Calculate the greatest common divisor of 81 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*d**2 + 4*d**2 - 5*d**2 - 29*d**2 + 106*d**2 + 34*d**2 + (-d - d + d)*(-2*d + 0*d + 4*d).\nAnswer: 122*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**4 + 24*o - 4*o**3 + 2 - 4*o**4 - 20*o as w*o + v*o**2 + p*o**4 + j*o**3 + z and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -8897, -5, 1\/6, 1\/4, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831021?\nAnswer: 3, 277007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.0534 (c) -0.10497\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(90) - (sqrt(2) - ((-1*-1*sqrt(2))**2 - sqrt(2))))*4 + 3.\nAnswer: -20*sqrt(2)\/3 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2646 or 2641?\nAnswer: 2641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(475))**2 + (5 + sqrt(133)\/sqrt(7) + sqrt(19))**2 + 4.\nAnswer: 20*sqrt(19) + 7705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 11 - 7 = 0. Differentiate 3*j - 5 - 10 - s wrt j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222 and 19018.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249.3746 minutes to milliseconds.\nAnswer: 14962476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 35*t**4\/2 + 10362185*t**3\/2 + 383487998315*t**2 + 931301879150*t + 328693213500 = 0.\nAnswer: -148030, -2, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 1)*(3*p - 3*p + 3*p**5) - 34*p**5 + 848*p**4 - 848*p**4.\nAnswer: -52*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkj when three letters picked without replacement from vkvjihhbhvjjjhvhj?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (168\/(-273))\/((-24)\/6)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*sqrt(143))\/(sqrt(11) - (sqrt(11) + (sqrt(11) - sqrt(704)*-2))) + 3.\nAnswer: 3 + 16*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 667 divide 2145944436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00040687857 to 6 decimal places.\nAnswer: -0.000407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-14))\/(26\/(-8))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145158388 divided by -357526398?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*w + 3597*w**3 - 62*w - 3612*w**3 + 25*w.\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2705 - -2705.4. Which is the third biggest value? (a) g (b) -20\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578193 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - 6 + 2 + k**3 - 3*k**4 - 4*k**2 - 2*k + 8*k**2 to i*k + f + a*k**4 + d*k**3 + n*k**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/167, 0.4, 2\/13, -3.\nAnswer: -3, -2\/167, 2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 y when four letters picked without replacement from {j: 3, y: 5, u: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 - -355\/7. Which is greater: -0.8 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6588*h**3*j**3 - h**3*j**2 + 15*h**2*j**3 - 11*h**2 - 2*h*j + 10*j**3 + 5*j**2 + 2*j - 1 wrt j?\nAnswer: -39528*h**3 + 90*h**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-5)\/20*-4*2. Sort -2, f, -3.\nAnswer: -3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**5 + 10*h**4 - 5*h**3 - 10*h**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 14. Let m be f(9). Suppose -4*g - 4*x = 4, 0*g + 4*x = 2*g + 8. Sort m, g, 0 in decreasing order.\nAnswer: m, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/49 bigger than -6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*(sqrt(539) - (2 + sqrt(539)))*3)**2 + (-2*sqrt(539)*6 - (sqrt(539) + (sqrt(539) - sqrt(539)*2)*4))**2.\nAnswer: 44955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -213*a + 40. Let b(x) = 4*x**2 - 2. Calculate b(z(f)).\nAnswer: 181476*f**2 - 68160*f + 6398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 21. Calculate the greatest common factor of u and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -362*j**3 + 10*j**2 - 3*j - 11. Let k(z) = -120*z**3 + 4*z**2 - z - 4. What is -8*k(o) + 3*v(o)?\nAnswer: -126*o**3 - 2*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, 5, -17, -57, -121, -215, -345?\n\"Answer: -f**3 - 3*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.08 + -1.92. Let b = 1.9359593 - -0.0640408. Let h = b + c. What is h rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -8b4508a?\nAnswer: -8b4508b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -0.4 (b) 1\/10024 (c) -0.05 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 196361*u**4 - 359*u**3 - 209550*u**2 + 25*u + 25.\nAnswer: 4712664*u - 2154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 30998290.\nAnswer: 371979480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - b - 1. Let u = 240 - 131. Suppose -5*x - 333 = -8*x. Let m = x - u. Let r(d) = 4*d**3 + d**2 - 2*d. Determine m*s(z) - r(z).\nAnswer: -2*z**3 - z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*z**4 - 2*j**2 - 16*j*z**4 + 29*j + 3*z wrt z?\nAnswer: 24*j**2*z**2 - 192*j*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4 = -0*o - 3*x, o = -3*x - 4. Let z(p) = 2*p**3 - 2*p**2 - p - 2. Let y be z(o). Solve -y*u - 2*c = -14, 9 = 4*u + 3*c - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/6 + 684\/2052.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 9*m**2 + 11*m - 4. What is u(7)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3296 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 87, 179, 271, 363, 455, 547?\n\"Answer: 92*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -145*i + 153. Determine p(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 8*k + 6. Let n be u(6). Let y = 100 + -98. Let z(o) = 2 + 1 - y*o - 6 + 1. Determine z(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11687488?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20288.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(495\/20))\/(-3*13\/39).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69337, -277308, -623921, -1109176, -1733073, -2495612, -3396793?\nAnswer: -4436616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a. Let u(s) = -2*s**2 - 2*s + 0*s + 30 + 2*s. Determine u(c(r)).\nAnswer: -18*r**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3373 - -3391. Solve 2*k = -3*v + 7*v - f, -5*k - 5 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8. Suppose -y + 3 = 3*b - 7, -3*y + 12 = l. Let 0 + 0*t + 1\/3*t**4 + 1\/3*t**b - 2\/3*t**3 = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127996 - 63159. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*s - 14, -2*t - 12 = -t + s. Let m = t + 20. Calculate the remainder when 18 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -684 - -16.13.\nAnswer: -667.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39444216.\nAnswer: 2, 3, 7, 17, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, -10961, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 4525?\nAnswer: -4522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**6\/10 - d**3\/6 + 5*d. What is the second derivative of c(x) wrt x?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(15)\/(3*sqrt(15)\/sqrt(3)))**2.\nAnswer: -4*sqrt(3)\/3 + 13\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 156281, 156285, 156291, 156299, 156309, 156321?\n\"Answer: i**2 + i + 156279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**4*z - 68*p**4 + p*z + 270*p wrt p?\nAnswer: 12*p**2*z - 816*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - 2*a + 0*a + (4 + 2 - 5)*(-1 + 1 - 2*a) + 4 - 4 - 2*a + 3*a + 0*a - 2*a + (-8*a + 19*a - 10*a)*(-5 + 3 + 3) - a + 3*a + 0*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-32\/5)\/k)\/k**(4\/9)*k**34\/(k**(7\/3)*k) assuming k is positive.\nAnswer: k**(1072\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.627100182 + 4\nAnswer: 4.627100182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n. Let r(z) be the third derivative of -z**7\/504 - z**6\/240 + 43*z**5\/20 + 101*z**2. Let a(g) be the third derivative of r(g). What is a(c(u))?\nAnswer: -10*u - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -475, -495, -515, -535, -555, -575?\n\"Answer: -20*g - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 < 7578604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -69*c**3\/8 - 369*c**2\/8 - 75*c\/8 + 225\/8 = 0.\nAnswer: -5, -1, 15\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 6 + -21 - -24?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 53, 119, 243, 425?\n\"Answer: 29*h**2 - 21*h + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*4*-1 + sqrt(117))\/(sqrt(9) + sqrt(9) + 6*sqrt(36)\/sqrt(4)).\nAnswer: -3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -496 - -512. Calculate the greatest common divisor of a and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3384)\/60*2\/(4\/(-10)). Let l = -472 - k. What is the units digit of (-13)\/52 - l\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**4 + 6*c**3 - 7*c**3 + c**4 - 2*c + 4*c**2 + 3*c**3 as r*c**3 + t*c + y*c**2 + x + k*c**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -231 + 343. Calculate the highest common divisor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -74, -89, -130, -209, -338?\n\"Answer: -2*s**3 - s**2 + 2*s - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*d = 14 + 29, -2*r + 49 = -3*d. Let f = -10 + r. Suppose 37 = 3*v + 3*w + 4, -f = v - 5*w. Calculate the highest common divisor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16453\/6 bigger than 2741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 366*h - 1347. What is the remainder when j(5) is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h**(2\/63)\/h)\/h)\/(h**(-21)\/h) assuming h is positive.\nAnswer: h**(1388\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*x**2 - 2*x**2 + 32*x**2 as t*x**2 + u*x + g and give t.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -8 + 5 - (0 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2447641403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 41 = 2*h - 14, 2*h = -2*x + 100. Suppose -7*y + 2*y + x = 0. Let w = y + -6. Calculate the smallest common multiple of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.24 + 3.76. Let q be ((-1)\/2)\/((-2)\/4). Which is the nearest to q? (a) v (b) -0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -0.5, -0.1, 2\/7, -0.7, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3407 is divided by 61.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(5) + (sqrt(5) + sqrt(20))**2 + (-6*sqrt(15)\/sqrt(3))**2 - ((sqrt(720)*-1 + sqrt(720) + 5 - sqrt(720)) + sqrt(720))**2.\nAnswer: sqrt(5) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n - 3. Let v(l) = -5*l - 4. Suppose -3*k + 18 = -g - 6*k, 0 = -g - 5*k - 26. Calculate g*v(y) + 7*r(y).\nAnswer: 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 618 divide 286502463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 9 = 4*n. Let c = 6 + n. Solve 4*x - y = -8, 2*x = -c*y + y - 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4340.44126 + -5712.1998. Let p = -1361.7585411 - x. Let l = p + -10. What is l rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*u - 3*r - 7, 3*u = -5*r - 28 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -91 (base 13) to base 5\nAnswer: -433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 12:17 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7551114 divided by 6?\nAnswer: -1258519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2, 0.096 in descending order.\nAnswer: 2, 0.3, 0.096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + j**2 + j + 2. Let k = 21 - 21. Let m be i(k). Suppose m*p + 0*w = -2*w + 20, 2*w + 4 = 0. What is the greatest common factor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-284162133.\nAnswer: -142081066.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 119370148 to the power of 1\/2, to the nearest integer?\nAnswer: 10926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r - 13. Let z be i(-6). Let v = z + -44. Calculate the remainder when 18 is divided by (v + 3)*2*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 19*k + 54*k + 25*k + 216, 90 = -5*z + 4*k + 42 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((165\/(-275))\/(-1*2\/(-10))). Which is the smallest value? (a) 1\/4 (b) 9 (c) 0 (d) -3 (e) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337475739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-479)\/3 - 2\/(-3). Calculate the common denominator of ((-1)\/6)\/((-3)\/y) and 29\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 877 divided by -4?\nAnswer: -877\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 526 - 530. Let z = 21 - 13. Let i = z + c. Solve -i*u = -2*u + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 126745.1\nAnswer: 38023.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.876 to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/7)*x**(-20))\/((x*x**(1\/3)*x)\/x*x*x**(-9\/5)*x))**(-45) assuming x is positive.\nAnswer: x**(6693\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61\/2 + 30. Sort 1, 1\/3, d in increasing order.\nAnswer: d, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyanddddpa. Give prob of picking 1 y, 1 a, and 1 n.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aif when three letters picked without replacement from {i: 4, f: 4, j: 4, a: 6}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q + 4. What is the least common multiple of 4 and p(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h + 21. Let q be i(6). Suppose 0 = -3*o + 6, 3*z = 2*o - 4 - q. Let b = z - -11. Calculate the highest common divisor of b and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.118356732 rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6*n = -60. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5760*q**4 + 129*q**2 + 39*q - 9. Let m(k) = -576*k**4 - 13*k**2 - 4*k + 1. Let v(j) = -39*m(j) - 4*r(j). Find the third derivative of v(b) wrt b.\nAnswer: -13824*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**5 + 4*q**5 + 0*q**5 + (1 - 1 + 2*q)*(5*q**4 - q**4 - 2*q**4) + 10*q**5 - 858*q**3 - q**4 + 0*q + 2*q + 861*q**3.\nAnswer: 15*q**5 - q**4 + 3*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*g - 67 = 527 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 2*b**2 - 3*b + 2. Let v be l(1). Let a be (-74440000)\/((-4)\/1) + v. Round a to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 5*q - 1. Let m be (90\/40)\/(3\/(-8)). Let r be h(m). Which is the second smallest value? (a) 0 (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2.962324g?\nAnswer: 0.000002962324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84592, 84596, 84600, 84604?\nAnswer: 84608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/13, -1\/207 in ascending order.\nAnswer: -0.3, -1\/13, -1\/207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 6 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + 17. Calculate the greatest common factor of 18 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -146*a + 28. Let s(k) = k - 7. Let q(n) = 3*m(n) + 12*s(n). Let c(i) = -2*i. Give c(q(l)).\nAnswer: 852*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from fisiipllclf.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 56.23078 kilometers?\nAnswer: 56230780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(o**4 + 0*o**4 + 0*o**4 + (-5*o**2 + 5*o**2 + o**3)*(7*o + 8*o + 5*o) + 2 - 3*o**4 - 5*o**4 - 3).\nAnswer: -26*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2432 is divided by 97?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from yppyyppiyyppppyppy?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31200 and 109400?\nAnswer: 17066400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 4:04 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13 - 113)*(-2)\/(1 + 1). What are the prime factors of (-13779)\/(-189) + 12\/n?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 12. What is a(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 54442 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6856 - 1?\nAnswer: -6857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -483.45 + 470. Let k = 13.76 - -0.24. Let n = k + t. Round n to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) - (-640)\/14. What is the highest common divisor of h and 506?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - 18*y**3 - y)*(y + 2 - 2) + 29*y + 2*y**4 - y**4 - 30*y in the form u + r*y**4 + p*y + h*y**2 + x*y**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 10 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 4*n**2 - 5*n - 2. Let m be p(-3). Suppose 0*q + 494 = 2*q + 4*s, 8 = -m*s. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 575\/23 + 2308\/(-92)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 11:40 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 44.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 432*x + 7781. What is r(19)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27148, 27138, 27114, 27070, 27000, 26898?\nAnswer: 26758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2.6, 0.11, -0.5.\nAnswer: -2.6, -0.5, 0.11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 4*p**2 - 3*p**2)*(7*p**2 - 3*p + 3*p)*(9*p + 0*p - 5*p).\nAnswer: 84*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 17 - (3 + (4 - (-2 - -6)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i**2 + 475*i - 226. Let x be q(96). Sort x, 3, 0.\nAnswer: x, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24074 and -0.3807.\nAnswer: -24074.3807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4637 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-8)*228\/(-6). Let w = -90 + x. Which is the nearest to 7? (a) 0 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38782559, 77565112, 116347665, 155130218?\n\"Answer: 38782553*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/4 - 3\/12. Let v(f) = f**3 + 6*f**2 + 5*f + 2. Let a be v(-5). Let c = 1 + a. Sort c, -3, t in decreasing order.\nAnswer: c, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 + -30. Suppose 228*o = 239*o - 143. What is the remainder when x is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -430.904321 rounded to zero dps?\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1522 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.56317 minutes to milliseconds.\nAnswer: 2373790.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 + 4*f**2 - 2*f. Let v be o(2). Let d be (-3)\/v - (-54)\/24. Solve -2*m = 2*q + 8, 0*q + d*q = -3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*l - 193 - 223. Find the first derivative of -161 + 9 + l - 212*x**2 wrt x.\nAnswer: -424*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 55.\nAnswer: -24\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4180 - (-1 - -5 - 4*2). Let h = w + -10524. Round h to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 17*k + 141*k = 5678. Solve 0 = -k*w + 11*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97568?\nAnswer: 2, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75061*o + 1540 = 75095*o - 150233*o for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 256402 = 256376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3 + 25\/15. Suppose p - 5*g = -21, -c*p + 3*g - 12 = -5. Solve z - p*z = 5*x + 17, 11 = -5*z - 4*x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23029 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 0*v + 0*v**3 + 0 + 7\/60*v**5 + 17\/24*v**4 + 11*v**2. What is the second derivative of h(a) wrt a?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1303133 (base 5) to base 6.\nAnswer: -313402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 98*h + 3. Give o(-2).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - p)*(-3*p + 11*p + 2*p) as r*p**2 + a*p + b and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 4:34 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2778, -5387, -7996, -10605?\nAnswer: -13214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - c - 15, -2*w + 4*c + 13 = -5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*(-225)\/(-150)*(-40)\/35.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p = 42*p + 56. Let u be p\/6*(-141)\/1316. Let t = -5 - -5. Which is the nearest to t? (a) -0.7 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from {r: 2, d: 2, z: 4, c: 1, w: 2, n: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f - 8 = 0. Suppose -f = -3*i + 7. Solve -4*z = -i - 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 6*l**2 + 4*l + 2. Let y be x(5). Let u be (-4 + 1)*(0 + y). Suppose -4*c - 19 = 5*z - 55, -c + 2*z + u = 0. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/12200 and 7\/9511.\nAnswer: 116034200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43b7b (base 15) in base 4?\nAnswer: 310202300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 21. Let d = 1019 + -5091\/5. Which is the closest to -1? (a) x (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 4, 2788 in increasing order.\nAnswer: 3\/5, 4, 2788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 - (120 - -12)\/(-11). Solve -2*c = 2 - h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 32 + 0?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/2049410 and -43\/2255.\nAnswer: 84025810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -49489?\nAnswer: -49485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - 10 - 2*-4. Suppose 57 = c*z - 4*l - 95, z = 4*l + 50. Calculate the remainder when z is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 234 - 234.355. Round m to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1 = 2. Let s = -3228 - -3265. Calculate the smallest common multiple of j and s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 319 - 316. Solve -4 = -7*a + x*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 187 - 173. What is the second derivative of -8*z**3 + 72*z + 14*z**4 - p*z**2 + 14*z**2 - 32*z wrt z?\nAnswer: 168*z**2 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0 = 6. Let w be -8*21\/28 - -2. Sort f, w, 5, -2.\nAnswer: w, -2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 27. Let x be l(-12). Suppose -2*y + 2*d + 2 = 3*y, 3*d = 12. Suppose -2*j = y*j + s - x, s + 6 = 3*j. Solve j*b + 17 = 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 15*g**2 - 35*g**2 + 2*g + 30*g**2 in the form f*g + x*g**2 + r and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 60*i**2. Let n(z) = z**2. Calculate w(n(b)).\nAnswer: 60*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87634 - 60794 = 2305*l - 849*l + 2078*l for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-27)\/(-3) - 3) + -2. Suppose -5*d + 3*g - 8*g = -3960, -3*g + 3173 = j*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.472 plus 2913.628?\nAnswer: 2877.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a + 57 = 0. Let p = 89 + a. Suppose 0 = 2*s + 3*s - 70. Calculate the greatest common divisor of s and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 76, 66, 62, 70, 96, 146, 226?\n\"Answer: p**3 - 3*p**2 - 8*p + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-8)\/84)\/(-1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20435 - 20415. Solve -10*o + 30 = -x*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 0.4 (c) 5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*i - 2. Put 4, 12, i, -4 in decreasing order.\nAnswer: 12, 4, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 125 + -374\/3. Let y(t) be the first derivative of 0*t**4 + 3 + 0*t**2 + 0*t + 1\/5*t**5 - v*t**3. Let y(s) = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1297 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 60. Let p = -3117 + 3126. Calculate the greatest common factor of p and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 11*s**3\/3 + 3*s**2 - s + 5. Is p(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 328, 766, 1380?\nAnswer: 2170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -12*f. Let z(p) be the first derivative of 3\/2*p**2 + 0*p - 32. Determine g(z(n)).\nAnswer: -36*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 422718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1415526682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8209\/10 + -3267\/4. Calculate the common denominator of 29\/14 and a.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100554 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.99 - -10.89. Let n = 9 - a. What is the biggest value in -5, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638 - 466 = -4*f + 4*o, -2*o - 74 = 2*f. Which is bigger: -49 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/10)\/(6\/40). Let s = -9 + -23. Let r = l - s. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - i - 66819*i**3.\nAnswer: -66819*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*s**3 + 53*s**3 - 117*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66085\/7 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17094 - 11675. Suppose 12*q - 3281 = z. Calculate the remainder when q is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 12 = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**2)\/c)**(-4\/19)\/(c**(-13))**(9\/7))**(7\/5) assuming c is positive.\nAnswer: c**(2139\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, o: 4, g: 3, j: 1, v: 4, e: 7}. Give prob of sequence ovv.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*o**2 + 39*o - 39*o)*(-4*o**2 + 2 - 2) to j*o**3 + y*o + d + q*o**2 + i*o**4 and give i.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjttxtjjxdkxj. What is prob of sequence td?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + f + 1. Let y(i) = 5*i**3 + 6*i**2 + 6*i + 6. Determine -30*v(c) + 5*y(c).\nAnswer: 25*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**3\/4 + 3249*y**2\/4 - 3518667*y\/4 + 1270238787\/4 = 0.\nAnswer: 1083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28.931 - -0.069. Let y = -28.91 + b. Put 1, y, -0.1 in ascending order.\nAnswer: -0.1, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-9)*(1 + 2). Let a(l) = 17*l**2 + l + 3. Let h be a(b). Let s = -66 + h. What is the remainder when s is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(363) + -2.\nAnswer: -4 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2370 times -35?\nAnswer: 82950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 6*z**2 + 4*z - 2. Let i be d(-7). Let h = -14 + i. Suppose -4*g + 17 = h. Solve 3*o - 2*o + 4*f + 24 = 0, -2*o - g*f - 23 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 1044444?\nAnswer: -5\/522222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -423 - 5?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*n - 40 = 27*n + 22*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3*77\/(-77)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1253*s**2 + 616*s**2 - 51*s + 51*s + 613*s**2.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -235\/6 - -496\/15. What is the common denominator of (-6)\/16*(-4)\/(-6) and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1048 and -89\/30916?\nAnswer: 61832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1100 is divided by 43.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 2. Let b = 47287 + -47284. What is the nearest to -21 in -0.2, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -985, 5, -1, 7 in increasing order.\nAnswer: -985, -1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h. Let l be y(5). Let t be 72\/5 + l\/50. Suppose -s + 14 = 4*i - 2*i, t = s + 4*i. Calculate the highest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -614 + 921. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 7, -3 in decreasing order.\nAnswer: 7, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*d**2 + 133286*d + 6*d**2 - 66642*d - 66631*d to w*d + m*d**2 + h and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 808*a = -803*a + 15, 2*a - 9 = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -b744 (base 14) to base 11\nAnswer: -21832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -4 - 4) + (-29 - (-6 - 10))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/87 or 1987?\nAnswer: 1987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h + 18. What is the remainder when 67 is divided by p(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 5*t, -3*o = 3*t - 9. Suppose -8*v - 990 = -13*v. Let z = v - 196. Solve -o*m + 1 = -z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15085058 + 15084736.03565. Let q = -322 - l. What is q rounded to three dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 28611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -9*b + 15. Let n be (6\/b)\/((-30)\/(-100)). Is -1\/5 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c + 7. Let n be d(-6). Calculate the highest common factor of n and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-525*d**2 + 12469*d - 279 + 281 - 12466*d)*(-2*d**2 + 2 - 2).\nAnswer: 1050*d**4 - 6*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - q**2 + 3. Let o = 14 - 17. Calculate t(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*n = -n + 178, 5*n = -10. Let u be d*2\/(-5 + 1). Suppose 2*q - u = 48. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 20*a - 22. Let n = -1544 - -1525. Give c(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**7\/21 - 5*i**4\/12 - 31*i**2. Find the second derivative of v(j) wrt j.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(3\/7)))**(-9\/2)*n**(-1\/2)\/(n\/n**(-28)))**44 assuming n is positive.\nAnswer: n**(-8492\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1004.7 or -5?\nAnswer: -1004.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32606 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 14*n + 0 + 1\/20*n**5 + 3\/2*n**2 - 1\/6*n**3 - 1\/2*n**4. Suppose -2*l + 4 = -4*o, 0 = -2*l + 7*l - 4*o - 22. What is y(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/12*(-15)\/1. Let k be 5\/1 + s + 20605. What is k rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + d - 11111 = 0, 3*a + 6954 = -3*d + 23625. Suppose 4*g - 2*g - 3*p = 5549, 4*p = 2*g - a. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -80022000 to the nearest 1000000.\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 22208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1479.1 + 1733.01. Let o = 255 - z. Let n = 0.43 + o. What is n rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-13)*v*v*v)*v)**31*v**(-5\/3)*v*v*((v*v\/(v*(v*v\/(v**7\/v*v*v)*v)\/v)*v*v)\/v*v)\/v*v*v)**(-41) assuming v is positive.\nAnswer: v**(-47027\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11928 divided by -1.\nAnswer: 11928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000689 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 6*c**2 + 5*c - 7. Let g be u(6). Suppose -g = 3*k + 2*k + 4*o, 5*k - 5*o + 5 = 0. Is k less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -172952330 by 5.\nAnswer: -34590466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/3)\/(14\/210). Suppose 0 = 2*j - 5*f - 2, l*j - 5 + 0 = 5*f. Sort -0.5, 2, j.\nAnswer: -0.5, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1712 - 1716. Sort 0.3, s, 34 in descending order.\nAnswer: 34, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*a - 2 = 2*a, -b - 4*a = 7. Suppose 0*q - 3*q = -4*m - 18, -5*q + 25 = -5*m. Suppose 6 = -4*c - q. Sort c, 5, b.\nAnswer: c, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/724 + 361\/724. Factor -1\/4*q**4 + 1\/4*q - 1\/2*q**3 + 1\/4*q**5 + v*q**2 - 1\/4.\nAnswer: (q - 1)**3*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42556 + 107756. What is h rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*(sqrt(567) + -2*sqrt(567)) + sqrt(567) + 0 + -3*sqrt(567) + sqrt(567)) + -5)**2*4.\nAnswer: -3600*sqrt(7) + 226900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-15)*-3*(-2)\/4*(98 - 114)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231300 (base 4) to base 6.\nAnswer: 21320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leltewmjj. What is prob of picking 1 j and 1 e?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5 - 3 - o - 4. Suppose 0 = c - 0*c + 2. Let l(g) = -3*g - 7. Determine c*l(v) + 7*n(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, y: 4}. Give prob of sequence yy.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 13*u**6\/120 - u**5\/20 + u**4\/8 + 28*u**2. Let k be x(2). Let o = 131 - k. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 - 490 = -152*i. Let q(s) = -7*s**3 + 11*s**2 + 7. Let y(m) = -m**3 + 1. Give i*y(f) - q(f).\nAnswer: 2*f**3 - 11*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.10175826 and 20.\nAnswer: -2.0351652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, 3595, -123, 5.\nAnswer: -123, -1, 5, 15, 3595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 12, z: 6}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673162?\nAnswer: 2, 7, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.38 + -0.08. Let f = 5.34 - a. What is f rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -859, -855, -849, -841?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -14637*l - 58529. What is o(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -33 + 16 - (-13 - 0 - -37)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/3*(-138)\/9. Let d be (-6)\/(-18) - s\/6. Suppose 0 = -f - 2*j + 10, 2*f - 6 = 4*j + 6. What is the greatest common divisor of f and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1979.15713 - 1986.29. Let o = 32.86667 - q. Let n = 40 - o. Round n to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*g = -4*g. Suppose g = 3*z - 5*l + 3755, 0 = -5*z + 4*l - 7*l - 6315. What is z rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b**4 - 15205*b**3 - 690*b**2 - 1302211*b - 64 wrt b.\nAnswer: 72*b**2 - 91230*b - 1380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1163 - -4411. Let u = 3248.02938 - l. Let j = 0.03 - u. What is j rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 3 + -5 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, and 1 w when three letters picked without replacement from zwuuugugmm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22784747 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.20023 minutes in milliseconds?\nAnswer: 672013.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -329080 to the nearest ten thousand.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 258 and 12556?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 e, and 1 i when four letters picked without replacement from ieiiiiiciiiiiiikc?\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 8 - 4*a + 17.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -0*d - 1500. What are the prime factors of 2*(-4 - d\/10)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 h when three letters picked without replacement from {j: 3, y: 4, n: 3, h: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402729613 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 10:15 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3338108*x**2 - 3338108*x**2 - 38*x**4 - x**3 to m*x**4 + j*x**3 + b + p*x**2 + g*x and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 27*f**2 - 2566*f + 353. What is x(-39)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 7*j**2 + 7*j - 6. Let k be r(6). Let q be k\/(-3 - (-3 + 1)). Solve -3*a - 4*u + 3 = -3, 3*u = q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 a factor of 476392700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**3)**17*(r\/(r**(1\/12)*r))\/r*r**(-2))**32)**(2\/23) assuming r is positive.\nAnswer: r**(400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l + l)*(-6 - 11 + 19)*(-3 + 6 - 2).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r - 5*r + 4*r + 589 = 0 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**3 + 3*t**2 - 3*t - 3. Let b(o) = 64*o**3 + 28*o**2 - 28*o - 28. Determine -3*b(d) + 28*q(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 81585280 rounded to the nearest one million?\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3729430\/358599 + -2\/1792995. Suppose 0 + z*c**2 + 28\/5*c - 4\/5*c**4 + 4*c**3 = 0. What is c?\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 2*y**2 + 8 + 1)*(-53*y**2 + 53*y**2 - 16*y**3).\nAnswer: 32*y**5 - 144*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(30\/4) + 55\/60. Factor r*i + 1\/4*i**2 + 0.\nAnswer: i*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424077 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b. Let p be (-5 + 3)\/(2\/(-4)). Let r(j) = -2 + 2 - 1 + p. Let u(m) = m + 6. Let z(i) = -6*r(i) + 3*u(i). Calculate z(c(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.45 + -0.45. Which is smaller: -0.05 or m?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1999*w = 1957*w - 924 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1147*n + 1148*n = -t + 1, n + 11 = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 10:02 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4 - 56*t - 51*t + 156*t - 43*t - 2*t**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from {u: 4, x: 1, l: 2, n: 2, p: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*c + 72*c - 201*c to p + x*c and give x.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98169?\nAnswer: 3, 43, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -6, 1\/3, 4, 50012?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 2)\/(-2)*4. Let u(v) = 6*v - 2. List the prime factors of u(o).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4484 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.14 - 0.14. Which is smaller: a or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a225 (base 13) in base 14?\nAnswer: -20d5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69105?\nAnswer: 3, 5, 17, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220375.\nAnswer: 5, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 4, -892.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 1. Let y = -2 - -4. Suppose y = -k + 3. Calculate the greatest common divisor of r and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 5)*1 - (-8 - -9). Suppose 4*n + 5*s = 5, 0*s - 4*s = -f. Suppose -z - 4*z + 430 = n. List the prime factors of z.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 9. Let t be 125\/(65\/16 + b). Round t to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310194181 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from syssqsrqmmqssmms?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -598 divided by 17?\nAnswer: -598\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 - -0.58. Suppose -68*n + 43968 - 43424 = 0. Is q greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10554*j**3 - 10553*j**3 + 21106*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (324 + 2 - 278 + 155 + 983 + 652)*(58 - 24*r - 58).\nAnswer: -44112*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*a**3*l**2 + 4*a**3*l - 2*a**2*l - 7*a*l**2 wrt a?\nAnswer: 60*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 10:54 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 110221121000221?\nAnswer: 110221121001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 8. Let u(r) be the first derivative of -r**2\/2 - 3. Let f(n) = 2*u(n) - x(n). List the prime factors of f(-9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*f + 2 = 6*f, 61*f = -x + 64*f + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -248 + 288 - (16 - 3)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15478253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngnenenneeggnn. What is prob of sequence enn?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -44. Let w be -2*1\/k*-1. Let t = 2 + -4. Which is the nearest to -1? (a) t (b) w (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knnbnkekebkeexxkeek. Give prob of sequence ekxe.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 46*5\/3450*-5*(-4)\/32\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3 + 185*r**2 + 186*r = 0. Calculate r.\nAnswer: -1, 0, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27858719 and 721.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21 + 0.19. Which is smaller: h or -2\/67?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2. Let i(n) = 86*n - 6. Let z(o) = -43343*o + 3026. Let c(f) = 3026*i(f) + 6*z(f). Determine c(q(r)).\nAnswer: 534*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**4 - 62*a**3 + 62*a**3)*(8 + 5*a - 8) + 0*a**5 - 3*a**5 + a**5.\nAnswer: 13*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2711823?\nAnswer: 3, 17, 53173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 110203518 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*q - 174*q + 120*q**3.\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a3 - 1135?\nAnswer: -12d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 19*a**2. Let u(g) = 33*g. What is n(u(o))?\nAnswer: 20691*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.23177 to 1 decimal place.\nAnswer: 22.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + -1 + -7 + 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2990 is divided by 458.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, 11, -1, -8, 53 in ascending order.\nAnswer: -8, -1, 0.3, 2, 11, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/7 + (-6)\/(-42). Suppose -z - 29 + 161 = i. What are the prime factors of 1\/(-4) + z\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62492129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -32 (c) 45 (d) -7.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 253*k**4 + 2*k**2 + 0*k**3 + 256*k**4 + 8*k + 228*k**4 - 740*k**4 - 253 + 2*k**3 to the form c*k**3 + z*k + r + x*k**4 + i*k**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(14) + sqrt(686)))\/(sqrt(7) + -4*(sqrt(21)\/sqrt(3) - sqrt(7))).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/11, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - w**2 - w + 47. Give c(-4).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h + 10. Let m(k) = 2*k - 11. Suppose -2*x - 48*x + 113 + 87 = 0. Calculate x*w(j) + 5*m(j).\nAnswer: -2*j - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40632494 is divided by 211?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 83, 73, 51, 11, -53, -147, -277?\n\"Answer: -c**3 - 3*c + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -3. Let w(o) = o**2 + 11*o + 13. Let h be w(y). Put 1, h, 3 in descending order.\nAnswer: 3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12010 + 24155 - 12056 + 5*g in the form j*g + z and give z.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63 or -191?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 110*c**2 + 731*c - 1052. What is t(103)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3*3783\/26. Let u be 3 + a\/116*(-28 - -24). Let p(q) = -q + 16. Let b be p(16). Which is smaller: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4144, 33171, 111948, 265339, 518208, 895419, 1421836, 2122323?\n\"Answer: 4144*s**3 + 11*s**2 - 14*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29\/6 - 5. Let z = 233\/85 - -3\/340. Let p = z + -31\/12. Which is the third biggest value? (a) y (b) 0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 16 = -k. Suppose k*z = 23*z - 5320. Is z a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121 + 121.0922. Let k = u + -0.07744. Round k to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -108000 and 3879.\nAnswer: -418932000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a week?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1081903189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15704 = 4*r - c, -c = r - 0*c - 3921. What are the prime factors of r?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f - 58. Let c be o(-20). Find the second derivative of 22*x - c*x**4 + 23*x + 3*x - 8*x**3 wrt x.\nAnswer: -24*x**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1851, -7336, -16485, -29304, -45799, -65976?\n\"Answer: -g**3 - 1826*g**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35.4 + 35. Suppose -5*v - 33 + 8 = 0. Let h = v + 13\/3. What is the closest to -3\/5 in -1\/2, h, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + a)*(-2 - 94*a + 2 + 107*a).\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*m - 40, -5*n - 5*m + 0*m + 55 = 0. Suppose 5*c - n = 4. Suppose -7*a + 95 = -c*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -139 - -149. Let t(w) = 41*w + 45. Let m be t(i). What is the highest common divisor of m and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, -12, -20, -28, -36, -44?\n\"Answer: -8*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 1) + (1 - -12) - (-18 + -3) - -3\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1765 divided by 5.\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 385 and 315?\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 57859001 + (-4 + -32)\/6. Let o = l + 5541005. What is o rounded to the nearest 1000000?\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {i: 6, d: 2, s: 3, j: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/((-3)\/(-4) + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 - 2084 - 6*v**3 + 2427*v**2 + 2082 + 2*v**3 to y + i*v**2 + b*v**3 + w*v and give i.\nAnswer: 2427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*d**4 - 9\/2*d**3 - 27\/2*d + 5 + 25\/2*d**2.\nAnswer: (d - 5)*(d - 2)*(d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74241 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 5*v - 4*v + 3*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*h = 146*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000037439258 rounded to six dps?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20062 - 5?\nAnswer: 20054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -15279791 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2527 = 296*k - 386*k - 547 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 1. Let x be (-11)\/9 + -1 - (-2)\/9. Let a(q) = q**4 + 7*q**3 + 9*q**2 + 7*q. Let n(d) = x*a(d) - 4*w(d). Find y such that n(y) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/240*12*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f + 2 = 0. Solve -2*q + 0*q = f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m + 3*m + 3*m + (0 - 2 + 5)*(3*m + 2*m + m).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 709424124 to the nearest one hundred thousand.\nAnswer: 709400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 79538334, 159076672, 238615010, 318153348, 397691686?\n\"Answer: 79538338*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 5*p**3 + 2*p**3)*(10 - 4*p**2 - 10).\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -132322232 (base 4) in base 14?\nAnswer: -34218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - -2 - (-30)\/2. Let b be (-3)\/20 + 6\/l. Find c such that -1\/4*c**2 + b*c + 0 - 1\/4*c**3 + 1\/4*c**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111025 is divided by 408?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1.3 (c) 2\/965 (d) -5 (e) 2\/17 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 79.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -2. Let u(n) = n**3 - 4*n**2 + n - 2. Let w be u(4). Let b = w + -4. Is b at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2938 divided by -5\nAnswer: -2938\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.3493 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 4*b + 6*b - 5*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 10257000 to the nearest 100000.\nAnswer: 10300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 2*r**2 + r + 2. Let a(h) = 3*h**3 + 3*h**2 - 2*h - 5. Let y(k) = -3*a(k) - 5*d(k). Let l be y(0). Is l not equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*x + 8 = 0, -3*n + 4*n = x + 3. Let o be 8\/n*(-758)\/(-24). Let c = o - 63. What is the closest to -1 in 4, -1\/6, c?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*o - 23 = 0, 10 - 15 = 5*o for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpe when three letters picked without replacement from eepxuevpuopxx?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.71 (b) -1721 (c) 3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 8*z**2 - 9*z - 10. Give y(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (26\/(-6) + 3)\/(92\/(-207)). Suppose -4*h - m*k + 3 + 24 = 0, 0 = 4*k - 20. Sort h, 2, 4.\nAnswer: 2, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61140.999926858 - 61141. Round x to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.2 + -20. Let x = -2 + 3. What is the nearest to x in 0.5, v, 1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f**3 - 8*f**2 + 12*f + 3. Let w be k(5). Suppose -9*d = w - 1675. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4 (b) -5 (c) -0.3 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-432 + 227 + 212)*(-2*f - 3*f**2 + 2*f).\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 842987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - z + 6, -5*z + 9 = 3*q - 8*z. Suppose 0 = 3*n - 12 + 3. Suppose -200 = -n*c + h, 5*c + 0*c + q*h - 352 = 0. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 26552424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5385 + -5316.73. Round n to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -179985 - -3062327\/17. Let r = -152 + u. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*k + 4*q - 199, -190 = -k + 5*q. Let x(b) = 2*b**2 + 3*b - 1. What is the remainder when -2 - (-4)\/(12\/k) is divided by x(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 + 5 = -j, -3*f = -j - 10. Suppose -f*c + 7*d = 3*d - 4, 4*c + 5*d + 5 = 0. Factor 0*v**4 + c*v + 0 - 1\/2*v**5 + 0*v**2 + 1\/2*v**3.\nAnswer: -v**3*(v - 1)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 1. Let m(d) be the first derivative of 17*d**2 - 40*d + 9. Let f(w) = -44*k(w) + 2*m(w). What are the prime factors of f(8)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4 = 2*f, -4*f + 5*f = -2*s + 13. Suppose 5*i - 60 = -z + 6*z, 3*z = s*i - 70. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {t: 1, g: 12}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/(o*o**(1\/4)))\/o))**(1\/5)*(o**(-2\/3))**(-3\/7))**(-7) assuming o is positive.\nAnswer: o**(-103\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 175700 or 179072?\nAnswer: 175700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 746.45037ns?\nAnswer: 0.000000000207347325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -54 + 561?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 630?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 34*l**2 - 16*l - 24. Does 18 divide a(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 301b853 - -5?\nAnswer: 301b858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 516 - 504. Suppose 24 - l = -4*c, 3*s = -2*c + 65103. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from npghssshipihiig.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 167 and 38718.\nAnswer: 6465906","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 26 = 5*w, 0 = 3*a - w - 4 + 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 683*u**5 + u**4 + 4*u**3 - 173996*u**2.\nAnswer: 40980*u**2 + 24*u + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, -8136, -0.04, -0.5 in ascending order.\nAnswer: -8136, -0.5, -0.04, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6292.5 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlrllrrrlrrrrrrrlr. Give prob of picking 3 l and 1 r.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**3 - 19*q**2 + 2*q - 104. Determine i(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 11, 40, 79, 128, 187, 256?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 184, 2, 0 in increasing order.\nAnswer: 0, 2, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -983*a = -1846 - 5154 - 16592 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 335.88 * -1\nAnswer: -335.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**3\/6 + x**2 + 2*x + 2. Let q(z) be the first derivative of j(z). Find the first derivative of q(k) wrt k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1015*o**3 - o**2 - 4*o - 4. Calculate the remainder when y(-1) is divided by 251.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lc when two letters picked without replacement from lxqxlhc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3584596736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 - -50.17. Let i = h + 0.03. Let s = -0.798 - i. Round s to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 5*t + 4. Let r = -7 + 12. Let g be i(r). Let j(n) = n**3 - 3*n**2 - 4*n + 5. Give j(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + (4*sqrt(1029))\/(5*sqrt(7)*4)*2))**2.\nAnswer: 56*sqrt(3)\/5 + 688\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56 - -156) + -12 + 2 + -24?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 12)*(-5)\/(-310). Let v = j + -2\/93. Is v less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 5*v + 6. Let i be q(-4). Factor -i*t**4 - 4*t**2 + 4*t**3 - 2\/5 + 2*t + 2\/5*t**5.\nAnswer: 2*(t - 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 - -88. Find the common denominator of (-2)\/9 + 4085\/(-450) and 51\/(-1)*2\/r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(2) + 2*sqrt(2)))**2 - sqrt(256)\/sqrt(8) - ((-1 + sqrt(18))**2 - 2*sqrt(8))) + 3*(-4 + ((sqrt(432)*-2 + sqrt(12))\/sqrt(6))**2).\nAnswer: 6*sqrt(2) + 1343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -11*o**6\/36 - 127*o**5\/60 + 5*o**4\/6 - 5*o**2 - o + 23. Let m(z) be the third derivative of p(z). Differentiate m(x) wrt x.\nAnswer: -220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (939*y**3 + 18*y**4 - 31*y**4 - 1000*y**3)*(0*y + 2*y + 0*y + 2).\nAnswer: -26*y**5 - 148*y**4 - 122*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*i + 5, 3 = 3*o - 2*i + 16. Suppose -162 = -3*a - 3*p, -a + 97 = -p + 33. What is the remainder when a is divided by (-1*(4 + o))\/(3\/11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 10, -3, 3, -12, 5, -7 in increasing order.\nAnswer: -12, -9, -7, -3, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -262.4 - -4092.18\nAnswer: 3829.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -87*l. Let q(y) = 1. What is j(w) - 2*q(w)?\nAnswer: -87*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 - 295?\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216118, -430577, -645036, -859495, -1073954, -1288413?\nAnswer: -1502872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*s + 4, z - s - 28 = 3*s. Calculate the greatest common divisor of z and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*w - 8*w = 20*w - 49140. What is the greatest common divisor of w and 2560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26582, -26569, -26532, -26459, -26338, -26157, -25904, -25567?\nAnswer: -25134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72092 - -504645\/7. Let t = -0.1 + 0.5. What is the nearest to 2 in -0.5, v, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.64 in -1, 5\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.144009 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31523 is divided by 95?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2. Let s(c) = 51*c**2. Suppose 0 = -4*a - 3*u + 26, -u = -3*a - 3*u + 20. Suppose 9*n + 10 + a = 0. What is n*s(k) + 27*w(k)?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 19*x**2\/2 - 17*x + 106. Let p be k(1). What is the greatest common factor of 27 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 + 5*k**3 - 5*k**3 + (-4*k - 2*k + 4*k)*(2*k**2 + k**2 - k**2) + (-8*k**2 + 4*k**2 + 8*k**2)*(-3 - 39*k + 3).\nAnswer: -162*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1079059, 1079037, 1079015?\n\"Answer: -22*a + 1079081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + 9 - (-1364)\/4?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(3)*-6 + (sqrt(3) + -1)*-5)**2 + (-1*1*sqrt(432))**2 + sqrt(432) + (sqrt(432) - (1*-1*sqrt(432))**2).\nAnswer: -196*sqrt(3) + 776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2508 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + (-2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 10*a = 55200. What is a rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, u: 1, s: 3, c: 1, b: 4, z: 1}. Give prob of picking 1 z and 1 b.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/6 - 10\/30. Suppose 144 = x + h*x. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/23 in 0.6, -4, 2, 2\/109, 0.3?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -209*j + 17. Let w be q(-4). Let n = -9371\/11 + w. What is the common denominator of n and 51\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9400372747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 144.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 3:46 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.14 (b) -23 (c) -0.1 (d) 2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164966*g - 164268*g = 9074 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31623604, -31623610, -31623628, -31623664, -31623724?\n\"Answer: -q**3 + q - 31623604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isss when four letters picked without replacement from sdsidids.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7141.775ng to grams.\nAnswer: 0.000007141775","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*a + 195*a**2 - 198*a**2 + 9*a to the form p*a + l + r*a**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 12, 5 in decreasing order.\nAnswer: 12, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/((-126)\/4))\/(-12 + (-654)\/(-54)). Which is the closest to 0? (a) -4 (b) f (c) -86 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10180 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -10\/4981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from nnjnnnnnnnnnjnnjjn?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 3*b**5\/10 - 7*b**4\/12 + 79*b**3\/6 - 10*b + 2. Find the second derivative of k(r) wrt r.\nAnswer: 36*r - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -94039b?\nAnswer: -94039c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 158.30455747 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 855, 3318, 7455, 13290, 20847, 30150?\nAnswer: 41223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30, 125, 286, 513, 806, 1165, 1590?\n\"Answer: 33*o**2 - 4*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.2 - -0.2. Let z = -2 - j. What is the closest to 3 in -0.5, -2\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = f, -4*x = 5*f - 32. Solve x*k = k + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejeemjjyjjjjjynynnn. Give prob of sequence ynm.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 235.\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -10. Suppose 2*w - 8 = -2*d - 0*d, 5*w + 4*d - 19 = n. Let b = 5 - w. Solve b*p - 2*o + 4 = 2*o, o - 1 = -5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27689 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**3 - n**2 + n - 1. Let y(u) = -16*u**3 + 6*u**2 - 6*u + 6. Let z(s) = 11*x(s) + 2*y(s). What is the units digit of z(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80124, 161328, 242532, 323736, 404940?\nAnswer: 486144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 191822 divided by 174?\nAnswer: 95911\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -11*n - 7. Let p be 1 - 24\/(-20)*-5. Is 4 a factor of b(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = 14*k + 48 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(88) + (2*sqrt(88) + sqrt(88) - sqrt(88)) + sqrt(88)))\/(sqrt(512) + 1*sqrt(512))*-5)**2.\nAnswer: 275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356396989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12648 by 4.\nAnswer: -3162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 325112*p**2 - 5*p**4 - 3*p - 325386*p**2 + 7600*p**5 + 5*p**4 + 1 wrt p.\nAnswer: 456000*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46*l*s**3 + l*s**2 - 12*l*s + 77*s**3 + 38 wrt l?\nAnswer: -46*s**3 + s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 3) + 0 + 0. Suppose 3*o + 5*o = -48. Let u be (f + 7)*(-12)\/o. Solve -3*v = 4*t - 3, -t = 3*t + u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 3\/2338 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f - 52. Suppose -z + f = z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 995 (base 14) to base 9.\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-10))\/((-14)\/35).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 2:15 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 - -69. Suppose k*r + 36 = -4*b + 52, 0 = -3*r + 2*b + 7. Solve 0 = -0*x + r*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326197 + 581791 = 43*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/33*3780\/2520?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7271 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 3*p + 162 = 0, -n + 0*p + 16 = -5*p. Solve 26 - n = 12*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 - b + 12. Let r be p(-8). Round r to the nearest 10.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*x - 23*x = -602 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93 + -54. Let h = 19 - -42. Let y = h - l. Calculate the highest common factor of 22 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drd when three letters picked without replacement from {d: 4, k: 2, r: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -11*m + 4. What is z(3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 746801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*d + 74 = 81, -3*n + 4*d - 23 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -638*a + 294*a - 10320 = 0 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 144*m - 15264. Let k be p(106). Solve -54*n + 52*n + 4 = k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(800))\/(sqrt(40)\/(sqrt(4) + sqrt(16)\/sqrt(4)) + sqrt(10)))**2*3.\nAnswer: 5120\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -28. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 j, and 1 a when three letters picked without replacement from {j: 1, p: 5, v: 1, a: 2}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0394 + -23.3394. Let k = i - -24. What is k rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r - 4. Give v(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 6*p**2 + 2. Let c be d(-6). Suppose -c*m = -m + 3. Let a(x) = -x**2 + 3*x - 2. Let w be a(2). Is w >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/21 - 206*k\/21 + 856\/21.\nAnswer: -2*(k - 4)*(k + 107)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) + sqrt(117) + 4 + (sqrt(117) - (sqrt(117) - (sqrt(117) + 4 + sqrt(117)))))*2 - -3*2*(-1*sqrt(117) + sqrt(117))) + 4)**2.\nAnswer: 960*sqrt(13) + 7888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*l + 3*i - 445, -l + 4*i = 89. Let h = l - -125. Calculate the highest common divisor of 27 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-4))\/(555\/74).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llvl?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x = -2*y + y + 10, -3*y = -4*y - 7*x + 36 - 26 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6417 - -1?\nAnswer: 6418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 520 + -520.12. Does 4 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -591*i. Let l(o) = o**2. Give l(u(a)).\nAnswer: 349281*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 35*z + 20. Let o(i) = 34*i + 22. Let m(t) = -6*k(t) + 7*o(t). What is the derivative of m(g) wrt g?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1128*b - 1137*b = 0. Which is smaller: 1\/450 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17310, -22059, -26808, -31557, -36306, -41055?\n\"Answer: -4749*q - 12561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-56)\/(-42))*(0 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1191301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 23 = 3*n, 6*b + 33*n - 29*n - 64 = 0 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i = 28. Let x(d) = 0*d**2 - 7*d + 3 - 1 - d**2 + 4. What is the smallest common multiple of i and x(-7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -70*v**5 - 112*v**3\/3 + 2*v**2 - 1436*v. Let o(a) = 56*a**2 + 3. Give -224*o(p) - 3*r(p).\nAnswer: 56*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 65*c + 224 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, c: 4, g: 1, n: 4, e: 1, t: 7}. What is prob of sequence tntc?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 4453078?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412*v**3 - 428*v**3 + 839*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -67592 divided by -67592\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-50 - -2) + (-2014 - -2051)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3393284+0.3\nAnswer: -3393283.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8119439460 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -134335363 (base 7) in base 12?\nAnswer: -2b287b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, x: 1, p: 10, h: 5, g: 2}. What is prob of picking 1 p and 1 d?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2958*y**2 + 4*y - 6*y + 2955*y**2 + 42*y**3 + 6*y as p + m*y + w*y**2 + h*y**3 and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a + 1. Let o be n(-1). Let f be (-3)\/6*o*1. Suppose 0 = -f*i + 7*i. Solve i = -0*g + 5*g + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/10 - 0)*(269 + -274). Let n be (-1 - (-28)\/2) + -1. Solve n = 4*j - z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0.3. Let t = 0.2 + -0.3. Which is greater: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.3 in -2, 48, 37743?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8428 - 25299 - 3*j + 8449 + 8422 - 23*j.\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82.9 - -82.4. What is the biggest value in c, -128\/5, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2621353.\nAnswer: 7, 61, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4) - 11036\/(-16). Suppose 0*p - 5*p = -x. What is p rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*r - 67, 4*f = -0*f + 3*r + 112. Let v be (4 - 2)\/((-10)\/f). What is the third biggest value in v, 0.3, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2320 + 21?\nAnswer: 2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -697 + 2657 = 5*w + 5*o, 5*o = -w + 384. Suppose 51 = 3*n + 3*z - 2*z, 3*n - 3*z - 63 = 0. Calculate the remainder when w is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 429 + -192. Suppose 10*c - 577 = -s. Is c < 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/14 (b) -53\/37 (c) -2\/243\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 27438, -17 in increasing order.\nAnswer: -17, -1, 27438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 541791 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 246.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (13816\/4)\/(1*2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 6:56 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/5))**(2\/45))**(-2\/27)*((s*s*s\/s**(-3)*s)**(1\/13))**(14\/3) assuming s is positive.\nAnswer: s**(198554\/78975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 43286.549440021?\nAnswer: 43286.349440021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 7*t - 9. Let o be x(-4). Suppose o*u + 14 - 38 = 0. What is the derivative of -9*d + 0 - u + 4 wrt d?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*o = w + 9, -7 = -5*w + o. Let s(t) = 0 - 2 - 1 + 76250*t**2 - 76248*t**2 + 3. What is s(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.8021 minus -278972?\nAnswer: 278993.8021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -10) + 17 + -10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -124 or -130?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 5 - 6\/((-2)\/2). Solve g*r = 3*a + 13 - 1, 2*r = -a - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*g + 16 + 16, 5*h = -2*g + 12. Let k(m) = m - 1. Let a be k(h). Solve 10 = q + a*r, 0 = -2*r + 4 - 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 4:50 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(152) - 4*sqrt(152)*-2) + 1*sqrt(152)*-3)\/(3*sqrt(128) - -3*sqrt(1152)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 2*y + 1. Suppose 0*i = 3*i - 3. Let h be j(i). Suppose h = -w - w + 16. What is the highest common divisor of 12 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 1304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -81*f**3 - 346*f**2 + 9*f - 6. Give w(-5).\nAnswer: 1424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1692 divided by 47.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4892340 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 6)*(4*j**2 - 3*j**2 - 2*j**2) + 55*j**2 - 15 + 15 - 3*j**2 + 0*j**2 + 5*j**2)*(-13*j**3 + 2*j**3 + 4*j**3) - 5*j**5 + 2*j**5 + 2*j**5.\nAnswer: -407*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133.12 - 99. Let h = j - 32. Let x = h + -1.9. What is x rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31830, 63691, 95564, 127455, 159370, 191315?\n\"Answer: x**3 + 31854*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*a + 7, -w - a = 2*a - 13. Let g(n) = -11*n - 193. Calculate the remainder when g(-22) is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -281, -282, -283?\n\"Answer: -b - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 204*j - 234*j + 450. Suppose -37 = -2*u + 47. Calculate the smallest common multiple of u and j.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130605 (base 7) to base 6\nAnswer: -304313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 32 (b) -3 (c) -20715\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220130 + -21?\nAnswer: -220211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 73540147*x**2. Let y(l) = -4*l**2. Determine s(y(n)).\nAnswer: 1176642352*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 731737471279 + 0?\nAnswer: 731737471279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 1907928.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-6 - -6) - -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1905068 to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.555 rounded to one decimal place?\nAnswer: -28.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 158459 + -97669. Is 267 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 9*i - 29 = c, 5*i - 72 = -2*c. Suppose 3*s = 6*s - 630. What is the least common multiple of i and s?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34875 - 34841. Solve -s + 106 = -12*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -282.066 - -285. Let t = 19 - 16. Let a = u - t. Round a to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) -0.4 (c) 2\/87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12523916 to the power of 1\/2, to the nearest integer?\nAnswer: 3539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000171667 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179466.38 nanoseconds in days?\nAnswer: 0.00000001365123125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*j - 11. Let c(v) = v**2 + 26*v + 9. Suppose -62*y = -69*y - 189. Calculate the smallest common multiple of j and c(y).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1833239.04 rounded to the nearest 100?\nAnswer: 1833200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 4*s**2 - 8. Let i(l) be the first derivative of l + 191 - 1\/3*l**3 + 0*l**2. Calculate -4*i(o) - u(o).\nAnswer: -o**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4363548 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 5. Let g be m(-5). Let i be (-1)\/(-8)*4*g. Solve -a + 6 - 2 = i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 18. Let q = -1 - -2. What is the first derivative of 2*p**3 + 8*p - q - j*p wrt p?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**4\/4 + h**2 - h + 45. Let k(a) = -3*a**3 - 22*a**2 - 30*a - 5. Let t(g) = -2*k(g) - 6*w(g). Find p such that t(p) = 0.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1022*n + 3419*n - 2606*n.\nAnswer: -209*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3.84. Let d = -1.36 + f. Let q = -1.20035 - d. What is q rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25646 is divided by 285?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 3*p, 3*p - 1 = 3*w - 2*p. Suppose w*z = -l + 26, 5*z + 2*l - 24 = 20. Let x = z + -6. Solve -o = -x*c - 5, 5*o + c = 6*c + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 20 - (2 - (7 + -15 + -9)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.386 + 0.014. Put 0.2, f, -2 in increasing order.\nAnswer: -2, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oozxxxmczmomxmmzjcm. What is prob of sequence comj?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3255029*l**2 - 2939514 wrt l?\nAnswer: 6510058*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 6*v + 6. Does 21 divide m(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1609*z + 1605*z + 2736. What is the greatest common factor of 60 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34781.068 - 34863. What is z rounded to the nearest integer?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzcl when four letters picked without replacement from {f: 2, z: 2, b: 1, u: 1, l: 2, c: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 60 = -10*u. Suppose 0 = 5*y + 5*v - u, 3*v = 5*y - 0*y - 20. Solve -3 = o - 2*z + 2, 0 = 4*o - 2*z - y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3261167414 + 5?\nAnswer: 3261167419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -2\/9 (c) 2361 (d) 0.09 (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 6*x - 7*x + 8*x + 22 to d + q*x and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/1657 - 4961\/8285. Which is the closest to -5? (a) -2 (b) n (c) -7 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 4*k - 10 + 14, -51*k - 145 = -2*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6687 divided by 2229\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210 by -70.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 4*h - 35, 5*h + 8 = 3*l + 48 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 4. Let j(x) = -x - 3. Let b(h) = -4*a(h) + 3*j(h). Let c be b(-5). Solve -2*k - 6 = -c*o, 0*k - 19 = -3*o - 2*k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 42 = 4*i. Let l = i + 26. Suppose -20 = l*z, 0*f + 4*f - z - 44 = 0. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*d - 10*d**2 - 149*d + 63*d - 2 + 2.\nAnswer: -10*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8675)\/(-6940)*(1218\/(-15))\/7.\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/6972 + -995\/6972. What is the second biggest value in w, 4, -66?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -106 (b) 6.657 (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o + 5 - 2 + o**2 + 1. Let a = -861 - -854. Let v be g(a). Solve 0 = 5*w + 3*i + 4, 0*w - v*i = -w - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 2*p - 108. Let d = p + 47. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(6\/(-10) - (-35)\/(-25)). Suppose -4*l + 2*z + 86 = v, -3*l + 67 = -24*z + 20*z. Calculate the remainder when 41 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 106267, 106268, 106247, 106192, 106091, 105932, 105703, 105392?\n\"Answer: -2*f**3 + f**2 + 12*f + 106256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 77568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 832*k + 3213 = 12365 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -165700 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 87*k**2 - 7*k + 6. Give i(2).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23322 (base 7) to base 5.\nAnswer: 142434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k. Put k, 1, -4 in descending order.\nAnswer: 1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*t + 3249 = 5*q, -4*q - 3*t + 2595 = 0. Let h = 59 - 38. Calculate the greatest common divisor of q and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 3:55 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1331502, -1331512, -1331522, -1331532, -1331542?\nAnswer: -1331552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(7)*6 - 3*sqrt(2)*-2)**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 + -27. Let y = q - -284. Is y a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169 - 72 + 62888*z + 5191*z - 97.\nAnswer: 68079*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*i - 6 = 0, -5*c = 5*i - 7 + 2. Suppose -2 = c*m + 10. Let y = 10 + m. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 71 = -g + 44, -118*f + 115*f + 15 = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 11*z - 47, 4*z = -1113*u + 1117*u - 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 385 or 397?\nAnswer: 385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 330567 divided by -3\nAnswer: -110189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/549290 and 27\/18998?\nAnswer: 12633670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 12\/(3 - 4) + 1.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from yayaycyyw?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-5 + 14 + -3 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x + 7. Let c(j) = -j + 2. Suppose -98 = -108*l + 94*l. What is l*c(m) - 2*p(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -173, -170, -147, -98?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -795945 from -14495.\nAnswer: 781450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1799, -1850, -1913, -1994, -2099, -2234, -2405?\nAnswer: -2618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - b - 24. Let m be (8\/b)\/(2\/3). Suppose -3*g + 4*i + 27 = 0, 3*g - m*g + 4*i - 9 = 0. Calculate the highest common divisor of g and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/54384 and -13\/98880?\nAnswer: 1087680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 7 - (-127 + 113)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g + 7. Let t(r) = -r - 2. Let j(a) = -a - 7. Let p be j(-5). Let c be (-9)\/(-54) + (-245)\/30 + 1. Determine c*t(y) + p*o(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiqiqq. What is prob of sequence ii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*z - 64*z + 10*z)*((1 - 1 - 2)*(-1 + z + 1) + z - 8*z - 3*z - 1 + 1 + z).\nAnswer: 792*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 107*c + 76. What is the thousands digit of h(32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.388 rounded to one decimal place?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.6 (b) 1\/2 (c) -3 (d) 7 (e) 480 (f) 2 (g) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w. Let m(i) = -i**2 - 6*i. Let s(v) = v. Let a(c) = -5*m(c) - 30*s(c). What is b(a(x))?\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17*-7988.\nAnswer: 1357.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39603193 divided by -6.\nAnswer: -39603193\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**3 + 2*k**2 + k**3 - 2*k + 2*k**4 + 4*k**3 in the form t*k**4 + y*k**2 + a*k**3 + f + o*k and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 272561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -112 + 112 + 17*d**3 + (4*d - 2*d - 4*d)*(-d**2 + 0*d**2 - d**2) + 4*d**3 - d**3 - d**3 + d - 11*d**2 - 2*d**3 + 12*d**2 + 0*d.\nAnswer: 21*d**3 + d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-21) + ((-6)\/21 - 0).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 433 = 41. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -404 + 0.08.\nAnswer: -403.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -62180 and -0.6?\nAnswer: 37308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2003, 8153, 22609, 49523, 93047?\n\"Answer: 692*n**3 + n**2 + 1303*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*j - 4*t, -4*j + j = -4*t - 12. Solve -5 = -j*f + 19 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 - -1a4?\nAnswer: 18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-2*(sqrt(468) + 1) - sqrt(468)) + (1*(sqrt(117) + sqrt(117) + sqrt(117)*1))\/sqrt(9)))**2*6.\nAnswer: 9000*sqrt(13) + 439350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-15) - (-10)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-224)\/3248 + (-260)\/(-406).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1033 - 1012. What is the smallest common multiple of y and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5452955260 - 3353568499639\/615. Let o = 8253\/5 + v. Let k = o - -2\/41. Is k at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/113941 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -954269 by -48.\nAnswer: 954269\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000236927005 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 - 90. What is the remainder when 272 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.575917ns in minutes?\nAnswer: 0.00000000049293195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**3 - 92*i**2 - 3388*i?\nAnswer: -18*i - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5 = -o. Suppose -h + o = 2, -4*a + 2*h = -10. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 2 = -7*m. Solve m = -5*q + 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 142858*d**3 - 47623*d**3 + 2*d**2 - d - 47620*d**3 - 47621*d**3.\nAnswer: -6*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53369*a - 53385*a = 880 for a.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01886395002 rounded to three dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (172\/20 + -9 + (-81)\/(-15))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -2371?\nAnswer: -2368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74448, 77824, 81200, 84576?\nAnswer: 87952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3977007 is divided by 1988468.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8*o = -3*o + 120, m - o - 42 = 0. What is the remainder when (-6)\/m - 4844\/(-105) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(240)\/sqrt(5))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 5*s**2 - 6*s + 3. Let q(j) = -j + 4. Let a be -6*((-12)\/(-9) + -1). Let v be q(a). Calculate f(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*t + 20, -h - 3*t - 9 = h. Let b(c) = -2 + c**2 + 4*c**2 - 6*c**2 - c**3 - 2*c**2 - 5*c. Give b(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -38 and 22.986753325.\nAnswer: -15.013246675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, v: 1, p: 1, y: 1, m: 1}. What is prob of sequence yp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 13*j - 14. Let i = 28 - 14. Let b be p(i). Suppose b = -r + 9 + 92. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-21))\/((-3075)\/(-1845))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3285016 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 34*y - 65. Let h(t) = -2*t**3 - 12*t**2 + 7*t + 44. Let l be h(-6). Let z be r(l). Solve z = -0*x - x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7355 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (46 + -2 + -48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*r + 81 + 44*r - 59*r.\nAnswer: 18*r + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -810764 at most as big as -810763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498.714 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 10 = 0, 5*n - n - 16 = 3*c. Let l be 8\/c - (-2)\/(-6). Is ((-2)\/6)\/(l\/39) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3144207 to the power of 1\/2, to the nearest integer?\nAnswer: 1773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/33, 2, 4, 8792 in descending order.\nAnswer: 8792, 4, 2, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4318\/19323 - -8\/6441. Let m = -0.9 + -0.1. Which is the third biggest value? (a) y (b) -2 (c) 4.9 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) -1 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179365389.\nAnswer: 3, 7, 181, 47189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 161 + -159. Suppose -i + 15 = 5*w + 13, -j*i - 1 = 5*w. Is w smaller than -3\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2 = z - 5*w, 0 = -5*z - 2*w + 10. Sort -5, -30, z in descending order.\nAnswer: z, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)*1)\/sqrt(7))**2*6.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3\/9 + 38*l**2\/9 + 32*l\/3 = 0. What is l?\nAnswer: -16, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6785 and 2773.\nAnswer: 318895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 4 = 0, 4*k - n - 5 = 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*z**3 - 3 + 5*z**3 + 4 + (-z + 2*z**2 + z)*(2*z + 1 - 1) to the form q*z**2 + v*z**3 + k + h*z and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 114941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 - 1 + 1 + (-5 + 4 - 4)*(-k**3 + 3*k**3 + 5*k**3).\nAnswer: -37*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - f - 2*f + f + (30 - 9 - 10)*(-21*f + 75*f - 30*f).\nAnswer: 262*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 1 + -3)*-3. Let z be 7 - (-2 - 12\/h). Suppose 4*c + l - 7 = z, 5*c - 15 = 2*l. Solve c*s + 2*i - 3 = 0, -2*s + 1 - 10 = 5*i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*z + 16, 2*z - 9 = s + 4. Let a = s + 4. What is the units digit of -1 - (-3*1 + a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5*s = -98, 0 = 164520*j - 164519*j - 3*s + 54 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilt when three letters picked without replacement from {i: 1, t: 2, l: 11}.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 170 or 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27055, 27012, 26969, 26926, 26883, 26840?\nAnswer: 26797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*q**3*w**3 + 163*q**3 - 34*q**2*w**3 - q**2*w + 3*q*w**3 + 2*q*w**2 - 2*w**2 wrt w?\nAnswer: 30*q**3 - 204*q**2 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101112120022 (base 3) to base 13.\nAnswer: -4b114b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2 + 1 = 0, -v - 5 = -3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 747.80298s in hours?\nAnswer: 0.20772305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 86*k - 157*k + 82*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36415*t**2 - 235*t + 130315412?\nAnswer: -72830*t - 235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1397796*n**4*x**2 - 2*n**3 - 293*n**2*x**2 - 9734*n**2 wrt n.\nAnswer: -33547104*n*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 1:57 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 112*w - 155*w + 129 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(11))*1.\nAnswer: -2*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(128) + -1)*4)**2 - -5*(sqrt(128) - ((4*sqrt(128))**2 + -1)).\nAnswer: -8171 - 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8487233.65 - 1.\nAnswer: 8487232.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4227 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: Express 668*z**3 + 8*z**2 - 2 - z**2 - 338*z**3 - 5*z - 329*z**3 in the form r*z**2 + l*z + i*z**3 + s and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -4*j + 7*j. Let h = 142 - 85. What is the highest common divisor of h and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 82 - 79. Let a(o) be the third derivative of 0*o + 8*o**2 - 1\/2*o**j - 1\/4*o**4 + 0. Give a(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192836.612 rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18853 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3288900 a multiple of 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/6*0\/(-1). Suppose 2*o - o + 4*p - 8 = q, -4*o - 25 = -3*p. Let m = 6 - o. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*p**3 + 63*p**3 - 28*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 2*z - 1. Let a be d(1). Suppose b = -3*c + 15, 4*b + 2*c - 34 = a*b. Solve -3*n + 10 = -o, 2*n - b = o - 3*n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -11. Factor 0*u + 2\/5 - 2\/5*u**y.\nAnswer: -2*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1656356 (base 10) to base 5\nAnswer: 411000411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, a: 2, o: 2, u: 1, w: 3, c: 3}. What is prob of sequence uccc?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, a: 1, f: 1, n: 1, w: 2, v: 1}. What is prob of sequence fb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 40*x + 1217. What is g(-24)?\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 115*o + 8. Let w(a) = 351*a + 23. Let n(b) = -17*j(b) + 6*w(b). Let d(v) = -2*v. Calculate d(n(u)).\nAnswer: -302*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 2*d**2 + 3*d + 4. Let g be i(3). Suppose 0 = -g*q, -q + 6*q = 2*s. Solve -f + s = -2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**2 + 1156*o + 2328 = 0.\nAnswer: -2, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 8 = 3*l - 3, -3*l = f - 10. Let m be ((1 - f)*-1)\/4. Solve -w = -m + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -42, 5, -5, 1.\nAnswer: -42, -5, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -10, 2770.\nAnswer: -10, 7, 2770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15153 - 10634. What are the prime factors of y?\nAnswer: 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -944*h**5\/15 - 10669*h**3\/6 - 461*h**2 - 2. Find the first derivative of u(l) wrt l.\nAnswer: -7552*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86991878 is divided by 92?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - z + 16. Suppose 4*n + 5*u - 10 = 0, -7*u + 4*u = 6. What is the remainder when (24\/2)\/((-8)\/(-140)*n) is divided by s(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**2 + 414171390*g - 8576897014726605 = 0. Calculate g.\nAnswer: 41417139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r + 20. Let x(n) = 2*n - 10. Let u(q) = -3*a(q) - 7*x(q). Let p be u(-6). Suppose 9 = p*b - 11. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513145 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6680064 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2 - 506508*o - 21379196172 = 0 for o.\nAnswer: -84418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-56)\/102 + 8\/(-68). What is the nearest to -1\/3 in l, 0.4, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52562 is divided by 1380?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/126 and -4\/917?\nAnswer: 16506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16815860?\nAnswer: 2, 5, 283, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 82. Let f be (80\/g)\/(-8) - (-28)\/45. Solve 2\/5*p**3 + f - 2\/5*p**2 - 2\/5*p = 0 for p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*m - 2*l = 361*m + 28 - 0, -5*m - 5 = -l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13, 1, 37, 107, 223, 397, 641, 967?\n\"Answer: 2*t**3 - t**2 + 3*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1429\/28 + 83\/4. Let h(p) = p**2 - 3*p + 1. Let i be h(-4). Let d = i + a. Find the common denominator of d and -17\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.4 in 0.2, -0.2, -4, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54516\/(-4543) + 0 + -65?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5469*n - 40 + 2718*n + 2719*n + 4 - 3*n - 4 + (-2 + 3 + 1)*(2*n - 4 + 4).\nAnswer: -31*n - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 4:54 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -200 in 27, -7, 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 882831.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3 + 5)\/24)\/((-18)\/(-24)). What is the second smallest value in 0, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 8:35 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 19 = i. Let b = i - -85. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-53)\/3 + (-3)\/9. Let p = u + 14. Which is bigger: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/10 - 560\/(-350). Factor 1\/2*a**o + a**3 + 0*a + 0 + 0*a**2 + 3\/2*a**4.\nAnswer: a**3*(a + 1)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-72) + (-180)\/81\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -42. Let g = -3 - -2.7. Let t = g - 0.2. Which is the closest to k? (a) t (b) 2\/17 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 988 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 13, c: 3}. What is prob of sequence cccv?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5.4. Let g = 8.04 + -8. Let t = 103 + -103. Sort w, g, t in increasing order.\nAnswer: w, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 558 by 9.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -90*b**3 - b**2 + 3*b + 3. Let z be o(-1). Let n(h) = 3*h - z*h**2 + 91*h**2 - h - 2*h. Let u(x) = -139*x**2. Calculate n(u(q)).\nAnswer: 38642*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - ((-2)\/12 - (-2)\/(-6)). What is the closest to 2 in -0.5, 3\/5, k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 127\/2, 6 in descending order.\nAnswer: 127\/2, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1360000907 to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64455.\nAnswer: 3, 5, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 22980 + 1415 = -5*o, 0 = 2*o - 3*b - 8616. List the prime factors of o.\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(832) + 5*sqrt(832)) - (sqrt(26)\/(sqrt(2) - (-1*sqrt(2) - sqrt(2))) - (sqrt(78)*1)\/sqrt(6)))**2.\nAnswer: 277108\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38917*u**2 - 20*u + 7489305 wrt u.\nAnswer: -77834*u - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30 + -19 - ((-2440)\/(-192) - 4) and 131\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -197*b**3 - 307*b**2 wrt b.\nAnswer: -1182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5544 - -94246\/17. Which is the nearest to -268? (a) -4 (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**7\/231 + 2*w**6\/165 + w**5\/110 - 2*w + 3. Let m(x) be the first derivative of p(x). Find l such that m(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 17 = 3*n, -n - 5*a = 218 - 242 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*918\/1989?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(0 + 3) - 84\/28. Let p(g) = -4*g - 2. Let j(b) = -b - 2. Let d(i) = 1. Let m(q) = -5*d(q) - 4*j(q). Calculate k*p(v) - 4*m(v).\nAnswer: 4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 + 0)*(-p**4 + 3*p**4 + 0*p**4) - 2*p**4 + p**4 + 3*p**4 + (-2*p**3 + 2*p**3 + 3*p**3)*(-5*p + 4*p - 7*p).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -z**4 - 328147*z**3 + 14*z**2 - 6*z - 6167862?\nAnswer: -12*z**2 - 1968882*z + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + b - 4. Let d be z(0). Let t = 13 + d. Suppose -5*w = -0*w - 360. Calculate the highest common divisor of t and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -t + 2*q - 4, 18 = -4*t + 3*q. Let w(s) = 3*s + 12. Let x(o) = 16*o + 59. Let b(m) = 11*w(m) - 2*x(m). List the prime factors of b(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 354*x - 1061. Calculate h(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 190, 191, 192?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, 18, 1 in descending order.\nAnswer: 18, 2, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183906980 divided by 29090.\nAnswer: 6322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6031, 12027, 18019, 24007?\n\"Answer: -2*m**2 + 6002*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -1. Suppose 3*f - s*k - 3 = 0, 0 = -2*f - f - 5*k + 11. What is the units digit of 1\/2 - f\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/84 and (-12)\/280 + 3\/(-21).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0136 - 2.9436. Let g = y - 0.07. Let p = 1.942 - -0.058. What is the closest to 0 in g, p, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6648 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334980?\nAnswer: 2, 3, 5, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 513.64 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/((r\/(r**(-30)*r))\/r))**16 assuming r is positive.\nAnswer: r**(-512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 76 - (1 - 1). Suppose -2*p = -26 - i. Does 33 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*f + 1 + 15*f + 2*f)*(2 + 1 - 5 - 6*f) - 4*f - f**2 + 2*f + 0*f**2.\nAnswer: -169*f**2 - 64*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*2*(-2)\/(-4). Suppose 0 = -f*m + m + 126. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -4. Let u = -0.6 - y. Which is the second smallest value? (a) u (b) -4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*g + 23. What is the least common multiple of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -29, -2, -4, -0.021?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -2. Suppose 41 = 2*d + z*d - 3*h, 0 = -3*d + h + 27. What is the remainder when 29 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/10)\/(99\/(-264))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10282 + 978*b + 10282 + 2*b + 5*b - 5*b + (2*b + b - b)*(-1 + 0 - 1) - b - 3*b + 5*b - 6*b - b + 2*b - b.\nAnswer: 971*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29994 - -29999. Let s = -7\/5 + -1\/10. What is the fourth biggest value in 13, 2, s, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 35, 56, 67, 68, 59?\n\"Answer: -5*z**2 + 36*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.4 - 6. Let g = -5255\/2 - -2628. Which is the biggest value? (a) g (b) m (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -175, -358, -541, -724, -907?\n\"Answer: -183*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -15*q**3 - 3*q + 3. Determine z(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.24238.\nAnswer: 0.24238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -36445 (base 10) to base 11\nAnswer: -25422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 13*m**3 + 0*m**3 - 6 to d*m**3 + z*m + g*m**2 + r and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (2 + -7 + -95 + 106).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (88\/(-12) + -4)*(-166 - -1). Suppose 0 = 101*m - 106*m + u. Which is smaller: m or 375?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1326097, 2652192, 3978287?\nAnswer: 5304382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521961743\/2 at most 760980873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218515 - 4.\nAnswer: 218511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*u = 17, -3*s - 2*u = -1 - 29. Suppose 0 = -s*r + r + 7. Solve p - 4 = r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 849*k + 119*k**2 + 119*k**2 - 238*k**2 + 491*k + 2 - 404*k**4 + 2*k**3 wrt k?\nAnswer: -4848*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 9*x**2 + 7*x + 2. Calculate the lowest common multiple of j(-8) and (24\/10)\/(21\/105).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -k + 68, -3*p = k - p - 73. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -86 (b) -1.1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -3*u + 261, 2*m - 313064*u + 313068*u + 114 = 0 for m.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*a**4 + 3*a**2 - a**4 + a**3 - 5*a**4 - 3*a**4 - a - 6*a**2.\nAnswer: a*(a - 1)*(a + 1)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/24 and -87\/64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 17 = 4. What is the tens digit of ((-16)\/(-4) - -38)*(2 - r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -251 (base 6) in base 9?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 - 5*w - w - 2 + 3*w + 2*w to l + h*w + s*w**3 + j*w**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**8\/80640 - i**7\/252 - 5*i**6\/9 + i**5\/20 + 4*i**3\/3 - 145*i**2. Let b(c) be the third derivative of n(c). Factor b(w).\nAnswer: -(w + 40)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 138312865?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -1318, -3, -2\/3, -2\/5 in descending order.\nAnswer: 35, -2\/5, -2\/3, -3, -1318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -195 + 79. Let l = n + 119. Suppose -3*r - 1931459 = 4*p + 296526, l*r = 4*p + 2228015. Round p to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -499\/4 + 124. Let q = l + 5\/4. Let m = -9.9 + 10. Which is the biggest value? (a) -0.4 (b) q (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 + 66. Let i = a + 10. Suppose 4 = 3*f + 1. What is the third biggest value in f, -2, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-709)\/7090*9*(-15)\/(-4).\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6306 and 6?\nAnswer: 6306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 - 2*h**3 - 8*h**3 + 2*h**3 + 0*h**3 + 0*h**3 + (-1 + 6 - 3)*(3*h**3 + 2*h**3 - 4*h**3) - 2*h**3 + 3*h**3 + 3*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p + 10*p - 168 = 0. What is the units digit of 2 - 5 - (-943 + p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20, 55, 138, 293, 544, 915, 1430, 2113?\n\"Answer: 4*x**3 + 7*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 + 48*c + 90. Let k be r(-2). What is the nearest to 0.1 in -2\/7, k, 10, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25853*a**3*v**2 - 3329*a**3 - 381448*a**2*v + 2*a*v**2 + 99*v**2 + 3*v wrt a.\nAnswer: -155118*v**2 - 19974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1641\/1580 + -5\/948. Suppose -2*q - 5 + 9 = 0. Calculate the common denominator of 506\/(-330) + (q\/(-2))\/3 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 1792.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -3 - (-266)\/2. Let g = -63 + r. Calculate the remainder when g is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 26, -17, 1\/3, 0 in ascending order.\nAnswer: -17, -1\/4, 0, 1\/3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-21) - (-12)\/2268*123?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q + 2*g + 480 = 19*q, -4*q - 2*g = -384. What is the highest common factor of q and 416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -18*x**3 - 2*x**2 - 2*x - 7. Let a(w) = 16*w**3 + 2*w**2 + 2*w + 6. Give 7*a(b) + 6*s(b).\nAnswer: 4*b**3 + 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 449 + 495. List the prime factors of k.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4202 is divided by 4094.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 501.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.3 (b) 0 (c) -2 (d) 2\/255 (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, r: 2, o: 2, g: 2, n: 3, y: 4}. Give prob of picking 2 g and 1 o.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/81 - 164\/(-9). Let o be 4\/(-6)*l\/(-4). Solve 3*y - 4 = 2*g - 19, -2*y - 10 = -o*g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 6\/9 - (-68)\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304 and 228848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.2 + -10. Which is the second smallest value? (a) -0.2 (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkyykkk. Give prob of picking 3 k.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 12*p + 36. What is g(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (5\/10 - 120\/(-48)). Solve 30*s + 8*s = -i*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109197900 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-5 - -5) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1)*t*(t*t**(-2\/15))\/t assuming t is positive.\nAnswer: t**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*((2 + 0 - 1)*(-1 + 1 + i) - 1249487 + 1709*i + 1249487 + 4*i + 3*i - 5*i + (2 - 2 - 2*i)*(3 - 1 - 3)).\nAnswer: -1714*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1068 + -728. Suppose -4*h = h - j. Let f = h + -35. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23\/10 - 14\/5. Let s = -47.19 + 47. Let i = s - -0.17. Is i not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (6 - 6)) + (-12 - -4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i + 240. Let t(x) = x**2 + x - 1. Let p(j) = -2*j**3 + 10*j**2 + 10*j - 10. Give i*t(l) - 6*p(l).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -58, -57, -56?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/8)*b**4)\/(b*b*b\/(b\/(b\/b**0))*b)**(-5)*((b*b*b*b**0)**(-5\/7))**(5\/6) assuming b is positive.\nAnswer: b**(1223\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 1.15609?\nAnswer: 0.85609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34392, 34391, 34390, 34389?\n\"Answer: -o + 34393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 12*v - 83. Let k be y(17). Suppose -k*l - 2*z = -1756, 2*z + 1071 - 205 = l. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -26*s - 326. What is p(-13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, u: 4, n: 3, b: 4}. Give prob of picking 1 b and 1 c.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31443311413 + 0?\nAnswer: 31443311413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 7*w**2 + 7*w + 7. Let z(h) = h**2 - 2*h + 1. Let f(i) = 6*i**2 - 6*i + 6. Let o(u) = f(u) - 4*z(u). Calculate 4*k(p) - 14*o(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*g + 45. Let h = g - 13. Solve -p**2 + p + 8*p + 3*p**2 - 5*p**h - 6 = 0 for p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957 is divided by 152?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1, 197938, 3 in ascending order.\nAnswer: -2, -1, 1, 3, 197938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -87. What is the smallest common multiple of 16 and b?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 8:32 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 472687333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k - 29. Let y be a(16). Suppose 1 = -y*m + 34. Calculate the remainder when 53 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3952a29 (base 11) to base 15\nAnswer: 902085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 955129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131 - 92. Calculate the remainder when m is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + w = -5, -4*n + 14*w - 9*w = -23. Suppose -5*p - 2*b = -61, 0 = n*p + 4*b - 18. Solve 7 + p = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbi. What is prob of picking 1 i and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -1\/20*l**5 - l**3 - 3*l + 7\/12*l**4 + l**2 + 0. What is the units digit of g(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*n**2 - 3*n**3 + 23*n**2 + 10*n + 9*n**3 + n**3 to the form b*n + v*n**3 + l + s*n**2 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 3*s - 2*s)*(-2 - 2*s + 2)*(3*s**2 + 0*s**2 - s**2).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1063.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 66\/(-21))*-6. Let u be ((-30)\/24)\/((-1)\/4). Suppose 15 = -u*o + 5. Is o greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 5*g + 3*g. Suppose g*v + b + 47 = -4*v, 0 = -v - b - 11. Let o be v*(-6)\/54 + (-47)\/(-3). Solve -2*s = n + 11, 5*n + 2 + o = -s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-29 + 6\/3)*(-4)\/6. Is 2 + (-40)\/18 + 4738\/m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/45)\/(22\/(-18) + 1). Suppose -h*a = -3*f + 14, -f - 2 + 30 = 4*a. Solve 13*k = f*k + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -210*d + 54. Let i be j(-9). Let v = -157553 + 638031\/4. Let g = i - v. What is the common denominator of g and -3\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 99 + 83 + 77 - 281 + 12*d. Calculate k(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 20. Let i = -4 + q. Solve 0 = 5*u - i - 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4772 a factor of 5549859860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -3\/2*f**2 + 0 - 17\/3*f**3 + 2*f. Let s be r(-3). Calculate the highest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020858 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(0 - 1)*-1. Suppose j = -q + 4*z + 25, -5*q + z = -3*q - 15. Solve -2*x + 3 = -q*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**6\/60 - x**5\/6 - x**3\/3 - 159*x**2 - 3*x - 1. Give c(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/30, 0.5, 2\/9, 32\/9, 5?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -732 + 746. Let q be -12 + 110\/11 - 250\/f. Which is bigger: q or -21?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 528 + 1746?\nAnswer: 1c6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1568.2683862 from 0.05.\nAnswer: 1568.3183862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-15) + 0 - (-230)\/(-200).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 + -57. Let u = 59 - 37. Calculate the smallest common multiple of f and u.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.2, 3\/13, -0.5, -2\/5 in descending order.\nAnswer: 3\/13, 0.2, -2\/5, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 638, 623, 618, 629, 662?\nAnswer: 723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*w - 61*w - 16*w + 42*w as z + o*w and give o.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 25*l - 41. Suppose 5*z - 23 + 13 = 0. Suppose 8 = z*t, -4*p + 0*t = -5*t + 96. List the prime factors of v(p).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -221114 + -110?\nAnswer: -221224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8806 - -31173. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 7*b**2 - 5*b - 4. Let r(s) = 2*s + 2. Let j be r(2). Let z be t(j). What is the second derivative of f**2 + 2*f**5 - f**z - f wrt f?\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160 + -159. What is the greatest common divisor of 9 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3562*u**3 + 26340*u**2 + 26198*u + 3420 = 0.\nAnswer: -855\/137, -1, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + 4*w + 3. Let x be g(-2). Find the third derivative of 0*l**3 - 4*l**2 + l**3 - l**x + 6*l**5 wrt l.\nAnswer: 360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j - 8*j**2 - 4*j + 10*j.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6418, -13025, -19630, -26239, -32858, -39493?\n\"Answer: -s**3 + 7*s**2 - 6621*s + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-one halves of a millennium?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/33 and 2\/4 + 4*248\/352.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -9*j - 60925. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 859 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44 - -116654.\nAnswer: 116610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 174*j - 249*j - 750 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + 2 + (1 + sqrt(200) + sqrt(200) - sqrt(200)))*-3 + 0 + (sqrt(784) + 2*sqrt(784))\/(sqrt(72)*5).\nAnswer: -293*sqrt(2)\/5 - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g + 9*g - 7*g + (2 - 6 - 3)*(-4*g + 3*g - g) to the form h + a*g and give a.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15717765 times -1\nAnswer: 15717765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 0*v**5 + 1\/2*v**2 + 0*v**3 + 17\/21*v**7 - 8*v + 0*v**6 - 1\/12*v**4 - 6. What is the third derivative of x(m) wrt m?\nAnswer: 2040*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*p + 58 = 171*p + 5*b + 19 + 23, 0 = -5*b + 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/20*(1 + -3). Let z(r) be the second derivative of 0*r**2 - j*r - 1\/2*r**3 + 0 + 1\/3*r**4. What is the second derivative of z(w) wrt w?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 - (20 + -5 + -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 134641453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 5:30 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 197585, 395145, 592717, 790307, 987921?\n\"Answer: j**3 + 197553*j + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - i**2 + i - 2. Let r be k(-2). Let b = r + 3. Let j(p) = -p**3 + 5*p**2 - 2*p - 1. What is the remainder when 20 is divided by j(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1498 divided by -749?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*u - 31*u - 68*u + 94*u - 37*u + 75*u + 3*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17049 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -420\/41, 1.759, -1\/3, 2\/9 in ascending order.\nAnswer: -420\/41, -1\/3, 2\/9, 1.759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 60 in 1, -24, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 4*m + 3. Let b be a(3). Suppose 4*i + 5*h = 107, 0 = 4*i - 2*h - 88 + 2. Suppose 18*t + i + 13 = b. Sort 3, -1, t in descending order.\nAnswer: 3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 366\/10 - 2\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15512 in 2\/9, -5, 0, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2646, -10458, -23366, -41370?\n\"Answer: -2548*m**2 - 168*m + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5946 divide 810291150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 10390*t + 5027685.\nAnswer: 5*(t + 767)*(t + 1311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -106*g + 103*g + 18. Calculate the least common multiple of 21 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 75 - 29 - 10.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qgwveeemwvqwq. Give prob of picking 2 e and 2 q.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -28db1 (base 14) in base 13?\nAnswer: -37269","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) 154 (c) -100 (d) 2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51 or 0?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -586, -1177, -1770, -2365, -2962?\nAnswer: -3561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tntttnntnntttntnnn. What is prob of sequence tntn?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1018160 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*d - 34, -3*d + 51 = -3*t + 5*t. Calculate the least common multiple of d and 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*389\nAnswer: 116.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((28\/3)\/4)\/(7*8\/(-168)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2. Let i(y) = y**2 + 2*y - 1. Let p be i(1). Let c be -2 - 1*(p - 16). Let s(m) = 25*m - 14*m - c*m. Determine d(s(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 65 - 6373?\nAnswer: -6306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 + -2 - (87 - 122)) + -1 + 87?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**2\/4 - 9*p - 39\/4 = 0.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 5*q + 10. Let y = -51 - -55. Suppose -2*o + 10 = -y. What is r(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 - -84. Suppose -s*y - 14 = -29*y. Let v(a) = a**2 + 7*a + 9. Calculate v(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + (-176)\/(-10))*6. Let s = t + -3759\/40. Find the common denominator of s and -71\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 491*m + 49914. Give j(144).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 13*t. Let p(i) be the first derivative of 2\/3*i**3 + 0*i**2 - 7 + 0*i. Determine p(u(q)).\nAnswer: 338*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*j + 107, -2*j + 66 = 2*y + 2*y. Let p(v) = 19*v - 1. Let t be p(1). Let s = t + j. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82480 and 76?\nAnswer: 1567120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 226 + -220. Solve -5*w = -2*u + y*u + 20, -2*u + 5*w + 20 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0306127 to 3 dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1584 is divided by 266.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 t, and 1 f when three letters picked without replacement from vftuiuffft?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 750*h**2 + 58*h + 245. Is o(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 44.57. Let u = 2.97 + q. Let m = u + -1.4. Put 2\/7, m, -4 in descending order.\nAnswer: m, 2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r**2 + 17*r - 29. Let j(i) = -17*i**2 + 52*i - 85. Let f(l) = -2*j(l) + 7*y(l). Let k be f(12). Solve k = g - 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*o**3 - 62*g**3 + 9*g**2*o**3 - 8*g**2*o - g*o**2 wrt o.\nAnswer: 6*g**3*o + 54*g**2*o - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 16. Let u be w(-11). Let i(j) = j**2 + 7*j + 9. Let y be i(u). Put y, 4, 0 in ascending order.\nAnswer: 0, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211 = -53*m + 12*m - 117. Suppose -5*y + 3*t = 224, -6*y + y = 2*t + 234. Let i = m - y. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.800026 + 0.8. What is m rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfxvcmu. What is prob of picking 1 x and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -11*g**2. Let n(t) = t + 2. Let a be n(2). Let i(z) = -12*z + a*z + 8*z - 2*z**2. Give i(w(y)).\nAnswer: -242*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2. Let u(q) = q**2 + 1. Let s = -56 + 55. Let h(b) = -15*b**2 - 9. Let o(f) = s*h(f) - 9*u(f). Determine k(o(a)).\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**4 + 430*w**3 + 2825*w**2 - 22620*w + 30420 = 0. Calculate w.\nAnswer: -78, -13, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12354 from -0.231.\nAnswer: -12354.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + 1. Suppose -2*f + 3*j = -228, -j + 4 + 120 = f. Calculate the smallest common multiple of k and f\/(-16)*(-24)\/10.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**2 + 6*q - 1. Let u be n(-2). Solve u*g + 5*l - 5 = 0, 4*g - 3*l + 1 = -2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*d + 3. Let m(h) = h**2 - 9*h - 2. Let u(x) = -3*x**2 + 26*x + 6. Let c(s) = d*m(s) - 4*u(s). What is c(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -21*r - 1. Let h be 0\/(-2) + (-3 - -2). Let w be l(h). Suppose 2*u - w = -2*u. What is the highest common divisor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 14*q - 32*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11b (base 13) to base 12\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42979579 and 888954.\nAnswer: 13469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 520, 1063, 1606, 2149, 2692, 3235?\nAnswer: 3778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 27 = -4*r + 3*w, -4*r - 3 = -3*w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 10:45 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - o + 4*o - 9 + 2*o - o**2. Suppose -10 - 14 = -4*q. Calculate f(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/10 - 15\/(-2). Let h(w) = 2*w**2 - 9*w + 2. Let g be h(p). Solve -5*q - g = 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148153 (base 14) in base 9?\nAnswer: -1307020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 155, -872, -1899, -2926, -3953, -4980?\n\"Answer: -1027*c + 1182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*r**3*x**4 - 786*r**3 - 366*x**4 - x wrt x?\nAnswer: -84*r**3*x**2 - 4392*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2481?\nAnswer: 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 159782740.\nAnswer: 319565480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35121)\/759 + 24\/(-704)*-8.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 - -0.6. Let x = k - 1.3. Sort x, -5, 1\/6 in ascending order.\nAnswer: -5, 1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*r**4 - 244 + 420*r + 8*r**4 + 131*r**2 - 6*r**3 - 3483 - 1173 + 5*r**4.\nAnswer: -(r - 7)**2*(r + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -271406*w**2 - 3447*w - 93 wrt w?\nAnswer: -542812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4556656246.\nAnswer: 2, 2278328123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + 0 + 4 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**4 - 10*d**3 + 10*d**3)*(-35 - 37 + 72 + 41*d).\nAnswer: -123*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 7*v**2 + 5*v + 6. Give x(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*6\/2 - 12. Let u = j - 3. Let n = u - -71. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32655*k**3 + 646*k**2 wrt k.\nAnswer: 195930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92.1 - -92. Let l = -2 + 2.1. What is the second smallest value in -1, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -1314?\nAnswer: -1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 6*p**2 + 15*p + 14. Let j(u) = 30*u. Let d be j(1). Let s = d - -8. Calculate the remainder when s is divided by m(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -228*h + 1. Let k(l) = 57*l. Let z(x) = 9*k(x) + 2*y(x). Let i(s) = s. Determine i(z(p)).\nAnswer: 57*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 + 44*q**2 - 193*q + 2. Calculate x(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000633005 to seven decimal places.\nAnswer: 0.0000633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 2*r - 293. Let m be z(18). Let b = 1\/76 + 143\/684. What is the biggest value in m, -0.2, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 9*f - 7. Let n be q(10). Let m be (-8)\/(-6)*9\/6. Let j be (3\/(-2))\/((-1)\/m). Solve w - 9 = n*g, g + w + j + 0 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(297)*-2)\/sqrt(9))\/sqrt(176) + (sqrt(12) + sqrt(300)*2 + -3)**2)*-4.\nAnswer: -5844 + 530*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 27*t**4 + 5*t**2 + 9*t. Let b(r) = -13*r**4 - 3*r**2 - 4*r. Let j(p) = -9*b(p) - 4*c(p). Find the third derivative of j(a) wrt a.\nAnswer: 216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 11. Let x be h(7). Let u(j) = 84*j + x*j - 8*j + 61*j - 11. Is u(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -16*d + 158. What are the prime factors of (-234)\/10*((-132)\/d + 4)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -4. What is the closest to 5\/3 in 3, j, -4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = z + 24. Let r(w) = w + 7. Let q be r(z). Solve -3*k - k + 16 = q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 38591405?\nAnswer: 3\/38591405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/232 and -43\/2690.\nAnswer: 312040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8.6 (b) 134 (c) 5 (d) 0.09 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + 2*l. Let p be n(-3). Suppose 0 = u + 2*u - p. Suppose -2*s = 4*t + 16, 5*s - u*t + 7 = 23. Solve s = -0*y + y + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 10*k**2 - 6*k - 35. Determine y(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 3*p**2 + 4. Let b be y(3). Suppose -b*k + 32 = -0*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -4 (c) -2\/9 (d) 11\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -583*g = -576*g - 129017. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 + 15 + -7)\/2. Is v less than -4\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -11. Suppose f - 6*f - 6154 = -2*g, -4*g = -u*f - 12288. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 240, 499, 774, 1065, 1372?\n\"Answer: 8*n**2 + 235*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -7*s + 159, -2192*r - 8*s = -2194*r - 188 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*p - 9*p. Let c(f) = f + 17. Let a be c(p). Suppose -6 = -3*u + 3. Solve -a*j = -2*o, -4*j - u = 5*o + 24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13309.5 rounded to the nearest 100?\nAnswer: -13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, 35, 274182 in increasing order.\nAnswer: -8, -4, 35, 274182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + 0. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32537 is divided by 985.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 319068732 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 111?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 485369376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - 243*j**2 + 367*j - 242. Calculate s(-123).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/48)\/(((-23)\/(-552))\/(165\/(-20))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 893882 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21920\/4347 + -8202259\/895482. Let l = -75\/103 - r. What is the common denominator of 113\/10 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (150\/(-12))\/5*(72\/(-15))\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 0.05 (b) -0.07 (c) -102 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/c**15)\/c)\/(c*c*((c*c**7*c*c)\/c)\/c*c*c))\/((c*c**(-1\/9))\/((c\/(c\/(c\/c**(3\/7))))\/c)) assuming c is positive.\nAnswer: c**(-1721\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + 3*(sqrt(1008) + 0) + 1)**2.\nAnswer: 288*sqrt(7) + 9088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.47138 to 1 dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -7. Let m(h) = 8 - 23 + 2 + 11 - 8*h. Is m(i) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-4)\/y)\/((y**(-1\/2)\/y*y)\/y))\/(y*y*y**0*y)**24)\/((y**(-1))**(1\/9)*y**(-5)*(y\/y**2)\/y) assuming y is positive.\nAnswer: y**(-1213\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l - 3*l)*(2 - 2 + l) + 0*l**2 + 4*l**2 + 2*l**2 - 5*l**2 + 3*l**2 + 0*l**2 + (-2 + 2 + 2)*(0*l + 0*l - 2*l**2).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2.05. Let n = 3.05 - i. Which is the second smallest value? (a) 0.4 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -23. Let b = c + 10. Factor 4*x**2 - 69*x - 2*x**b + 73*x + 2*x**2.\nAnswer: -2*x*(x - 2)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*m + z, -4*m + 2*m - 3*z = -7. What is the units digit of (477 - m) + 5\/1 + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - -186612\nAnswer: 186587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41.4 + -39.4. What is the nearest to 0.1 in f, -2\/9, 4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -293 (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 22305, -2, 8?\nAnswer: 22305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2076 and 2104545?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 415\/3 - 7937\/60. Calculate the common denominator of n and (-4)\/10*(-205)\/(-24).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2430021 - 34?\nAnswer: 2424432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1146 + 1146.22. Put 0.2, v, 2\/19, 2\/7 in descending order.\nAnswer: 2\/7, v, 0.2, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14936?\nAnswer: 2, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 19*v - 34. Let q be n(21). Let y be 94\/(-3) + q\/(-20). Let s = 94\/3 + y. Which is the third smallest value? (a) 2 (b) 8 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.75 and -30477.\nAnswer: 266673.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -411, -951, -1705?\nAnswer: -2673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/21 + (-88)\/(-14). Suppose i = q*i - 90. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 9:55 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 1:17 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 543, 575, 655, 807, 1055?\nAnswer: 1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 3*d**5\/20 + 5*d**4\/2 - 11*d**3\/2 - 13*d - 1. Factor s(p).\nAnswer: 3*p*(p - 1)*(p + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -129, -138, -149, -162, -177?\n\"Answer: -i**2 - 6*i - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 6:06 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142951 and 62755.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 429*d**2*o**2*x - 2*d*o**3 - d*o*x - 7*o**3*x + 20*o**2*x - 41*x - 2 wrt d.\nAnswer: 858*d*o**2*x - 2*o**3 - o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3253\/54219 - -1\/1643. Let m = 99 - 692\/7. Which is the second smallest value? (a) p (b) -1 (c) 3\/4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*f*x**3 + 2*f*x**2 - 261*x**5 - 12*x**2 - 21*x wrt x?\nAnswer: -30*f - 15660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 40*o**2 + 1. List the prime factors of z(1).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7500152 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v + 4*v)*(v**3 + 3*v**4 - v**3)*(-3 + 0 + 5).\nAnswer: 24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131352, 262660, 393920, 525132?\nAnswer: 656296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8168*c**2 + 18*c + 7*c - 26*c.\nAnswer: 8168*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.18 (b) -5 (c) 0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*b + 30*b - r - 217, 852 = 4*b + 4*r. Let d = -333 - -405. Calculate the remainder when b is divided by d.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, e: 7}. What is prob of picking 2 n?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 41*y**2 + 40*y - 5. Calculate j(40).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2304 and 1872.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04853 in 7\/2, 0.2, -1, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1168, 2594, 4274, 6208, 8396, 10838?\nAnswer: 13534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2746*c**5 - c**4 - 23628*c.\nAnswer: 54920*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 336*f*m**3 + 15*f*m - 2*f - m**2 wrt m.\nAnswer: 2016*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -14. Suppose -9*u = -r*u - 9. Solve -u = 2*c - c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 362*(-2)\/(-356) + 44\/(-22). Let m = -163\/445 - x. Which is smaller: m or 4\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -61231 + 106455. What is the ten thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1330 and 1329 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/3 and -3*((-41)\/10 + 2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/55 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**3\/2 + 3*m**2\/2 - m + 20. Let l = 11 + -8. Give a(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10340, -20595, -30848, -41099, -51348, -61595, -71840?\nAnswer: -82083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 1\/2*w**4 + 14 + 0*w + 1\/5*w**5 + 0*w**2 + 0*w**3. Suppose h(o) = 0. What is o?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 5*i**2 - 7*i + 6. Let z be c(6). Let d = 10 - z. Suppose 5 = -f + d. What is the greatest common factor of 35 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4 - 291*k**3 + 5499*k**2 + 82839*k - 185394 = 0. Calculate k.\nAnswer: -11, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 + 88*b**2 - 82*b - 81. What is v(43)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 23*z**2 - 51*z - 5. Let i(j) = -5*j**3 + 86*j**2 + 69*j + 29. Let t be i(18). Give c(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18634, -18624, -18602, -18562, -18498, -18404, -18274, -18102?\nAnswer: -17882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + b + 23. Let k = 55 - 40. Suppose -7*h + 48 = -k. Let p be (0 - -1)\/(-3) - (-3)\/h. Calculate a(p).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -294.4 - -200. Let c = 94.400001386 + s. Round c to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g**(-1\/3)\/g)\/g*g))\/(g*g\/(g\/(g*g\/g**(2\/19)*g))))\/(g**1)**48)**(39\/7) assuming g is positive.\nAnswer: g**(-36725\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 10:36 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(91) - (sqrt(91) + sqrt(91)*1))\/sqrt(7).\nAnswer: -sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -111032122 (base 4) in base 10?\nAnswer: -86938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d - 8. Let i be t(4). Let o = i + 0. Find the third derivative of 5*a**2 - 2*a**o + 3*a**4 - a**2 - 5*a**4 wrt a.\nAnswer: -96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 2*l**2 + l + 2. Let x(d) = 49*d**3 + 84*d**2 - 42*d - 77. Determine -42*m(w) - x(w).\nAnswer: -7*w**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334394317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + sqrt(175) + 2 + 4 + -1*(sqrt(175) + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 11 + 8 - 6. Let z be t(-9). Solve -2*n = -z*h - 8, 0 = -2*n + 3*h - 2 + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c = -19*c + 8. Let g be 4 - 0\/((-16)\/c). Find the second derivative of 18*q**2 - 40*q**2 + q**g + 22*q**2 - 3*q wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, e: 11, u: 1, k: 1, n: 2, x: 1}. Give prob of picking 1 x, 1 k, and 1 z.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one sixth of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1\/6, 2, 0.4, 81?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 11:19 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/2*52\/(-273) + (-2)\/3. Solve q = 3*s + 120 - 105 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62 (base 13) to base 6.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259714716?\nAnswer: 2, 3, 21642893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/((s*s**(2\/3))\/s))*s)**39\/((s*s\/s**2)\/(s*s**(-2\/7))) assuming s is positive.\nAnswer: s**(460\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 486 - 483. Suppose 0 = c + 2*c - 9. Solve 0 = c*r - 4*r + y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**5\/60 - s**4\/6 - s**3 + 2*s**2. Suppose 266*q - 234*q = 192. Determine z(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 6) + -2 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1609, 6032, 13297, 23398, 36329, 52084?\n\"Answer: -m**3 + 1427*m**2 + 149*m + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13152123?\nAnswer: 3, 19, 76913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w + 19*w - 636 = 10*w - 12*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.049 and -898474574219.\nAnswer: -898474574219.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 614555927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 5\/6, 40, -5, 0.29?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -116 - -115.8. Which is the second biggest value? (a) -0.04 (b) z (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/14 + (-5)\/21. Which is the closest to m? (a) -5\/3 (b) -0.1 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 120\/25*20\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -10*v + 130. Determine m(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 739\/11 + -67. Let x = 0.06789 + 1.93211. Which is the closest to -1? (a) x (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/51029392 and -55\/30183?\nAnswer: 153088176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w + 15. Let l = w - -53. Suppose -l = -4*x + 3*q, -3*x - 5*q = 2*x - 90. Solve 0 = 3*a - 7*a - x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 6. Suppose -q = f*l - 10799999, -3*l + 8099996 = 2*q + 2*q. What is l rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/28589 and -76\/18645.\nAnswer: 428835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19.887 and -0.08.\nAnswer: -19.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.28 + 5.28. Which is the third biggest value? (a) m (b) 2 (c) 0.4 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496459 is divided by 8865?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + -1)*6.\nAnswer: -6 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7008 - -7015. Solve 12*l + 37 = 3*h + g*l, 4*h - 4*l = 36 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o + 84. Let d(s) = 3*s + 81. What is 3*d(g) - 2*t(g)?\nAnswer: g + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0*o**2 + 5 - 2*o**2 + 2 as q*o**2 + k*o + i and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 28*5\/40*(5 - 6)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 28*n + 2 - 27*n - 3 + 9. Let c = 87 + -91. Let q(f) = -f**3 - 2*f**2 + 10*f + 3. Let s be q(c). Give x(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8928 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 + 120*f + 2878*f - 72.\nAnswer: 2998*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -1, 0.3, 75241, -0.08?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5837 and 273.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35529720?\nAnswer: 2, 3, 5, 31, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 43864 divided by -8\nAnswer: -5483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -8 (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from {a: 1, x: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 228\/2 + -6 + 3. Let k = l + -64. Suppose -k + 11 = -2*o. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 361*b + 643*b + 401*b - 27 - 421*b + 28 as g*b + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 28. Let f be (-9)\/(-2) - (-2 - -3). Which is smaller: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + -6. Let o = q - -16. Let x = o - -21. Calculate the remainder when 37 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-39) + 1\/3. Let u be (-17)\/(-68)*(1 - 1). Factor -14\/13*a**2 - c*a - 10\/13*a**3 + u.\nAnswer: -2*a*(a + 1)*(5*a + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -18 (c) 1\/4 (d) -1\/8 (e) 5 (f) -7\/2281\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17451 + 8729 + 230*n + 8722.\nAnswer: 230*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(220))\/sqrt(4) - -1*sqrt(495))\/(6*(sqrt(150)\/sqrt(5))\/sqrt(6)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (41 - 42)\/(2\/(-16)). Let q(o) = -k*o + 0*o + 10*o - 7*o. Let s(j) = -32*j. Give q(s(z)).\nAnswer: 160*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: a (base 14) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/9)*u*u*u)\/u**(2\/19)*u**(1\/3)\/(u\/u**1*u)*(((u*u*u**(-2)*u)\/u)**26)**(6\/13) assuming u is positive.\nAnswer: u**(590\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-30)\/(-105))\/(12\/301) and -55\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377*b**3 + 40*b**3 + 2770*b**3 + 1744*b**3.\nAnswer: 4177*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0816 - -0.06941. What is d rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -33. Let q = c - -63. Let s = 103.7 - q. Round s to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 945*s**4 + 656?\nAnswer: 3780*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53023337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 116 = -27*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-36)\/(-21) + 1650\/(-1330) and -9\/23.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -38. Calculate the greatest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1 + 1 + 0*r - 2*r. Suppose -2*o - o = 3*b - 15, 0 = 5*o + b - 13. Give v(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -2*v + 11*w, -717480*w + 4 = -3*v - 717478*w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (6 + 7) - 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6 - 36 = 0. What is the highest common divisor of 63 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 189*r - 8187. Determine g(122).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**3 + 79*g**2 - 615*g - 2258. Determine d(-32).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from rrrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (7 - (-3 + 10 + -12)) + -19.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 455090 + 455036 - 8*u**2 - 3*u**2.\nAnswer: -11*u**2 - u - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 42 = -2*j - 250, -294 = -5*t + 4*j. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 11*a - 23. Calculate m(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 + 1. Let z = -7 + 7. Suppose -3*p - 4*d = z, -4*p = -7*p - 3*d. What is the second biggest value in g, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 346, 697, 1048, 1399?\n\"Answer: 351*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/((m\/(((m\/(m\/m**(2\/5)))\/m*m)\/m))\/m))\/(m**(-2\/35)\/m))\/((m\/(m\/m**4*m))\/(m\/(m*m*m**(1\/3)*m*m))))**(-37) assuming m is positive.\nAnswer: m**(15059\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/7 + 1858228*v\/7 + 431626412498\/7 = 0. Calculate v.\nAnswer: -464557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058418 to the power of 1\/2, to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 61123?\nAnswer: 61122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*w + 14534 - 14857 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16\/149 + 553\/1788. Let l(c) be the second derivative of 9*c + h*c**4 + 0 + 0*c**3 - 3\/2*c**2. Find the first derivative of l(q) wrt q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2. Let r(n) = n - 44. Give 2*d(v) + r(v).\nAnswer: v - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -30463 at least as big as -30491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-204)\/(-2380))\/((-2)\/(-14)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + x**2 - x + 4. Let m be o(0). Suppose 3*l - m = c - l, -2*c + 4*l = 8. Let u = 7 + c. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*w - 61*w = 44*w + 918 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/8 + 1\/8*i**4 + i - i**3 + 3\/4*i**2.\nAnswer: (i - 7)*(i - 1)**2*(i + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2977 + 1929. Let d = x - -1533. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30919658 and 996?\nAnswer: 185517948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/395, 557, 4, -0.2 in decreasing order.\nAnswer: 557, 4, 0.3, 2\/395, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40720, -40721, -40722, -40723, -40724?\nAnswer: -40725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b - 16. Let c(p) = p**2 + 3*p - 3. Let a be c(-5). Calculate the remainder when q(a) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m. Let z(l) = l + 7. Let p be z(-5). Suppose 0 = 2*t + y + 1, 3*t + 19 = p*y. Let h be j(t). What is the greatest common factor of 30 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4303 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5319*u**3 + 5228*u**3 - 10548*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23112221 (base 4) to base 3.\nAnswer: 2100210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**14*t)\/((t*t*t\/(t**17*t))\/t*t)*(t\/(t*t*t**1\/t))**(-2) assuming t is positive.\nAnswer: t**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g + 5. Let d(i) = -11*i + i + 2 + 20 - 43 - 3*i. Calculate 2*d(j) + 9*u(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -673.5 + 673.47. What is the nearest to 1 in y, -5\/6, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 + 4.5. Which is the second biggest value? (a) x (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 12. Let w be r(8). Suppose 2*k - 16 - w = -5*s, -2*k = 4*s - 36. Let l be 45\/k*(-8)\/(-5). Solve g - l = -3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + c**2 + 5)*(8 + 621*c**2 + 11 - 19).\nAnswer: 621*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2, 0.2, 153, 392?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000231397903 to 7 dps.\nAnswer: -0.0000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 5*h + 1, 4*j - 5*h - 361 + 368 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -224 divided by 39\nAnswer: -224\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -z - 900, -360 = -2*c - z + 2*z. What is the greatest common divisor of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101247285 less than -0.18149?\nAnswer: 101247284.81851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.02 + -1.02. Let a = 0 - 3. Let d be (-1 - 0)*(a - -1). What is the nearest to g in -4, 3\/4, d?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2002 divided by -4724.\nAnswer: 1001\/2362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19 + (-82)\/4 + (-5)\/(-2). Solve -t - 2 = 0, 7 = 4*o + 5*t + b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 42, 43, 44, 45, 46, 47?\n\"Answer: d + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x - 33. Calculate the highest common factor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 148*k**4 + 22*k**3 + 98*k**2 + 22. Let b(y) = -21*y**4 - 3*y**3 - 14*y**2 - 3. Let d(o) = 44*b(o) + 6*w(o). Find the third derivative of d(x) wrt x.\nAnswer: -864*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1043*z**2 + 1043*z**2 + 1443*z**3)*(7*z - 8*z - 8*z) - 1 + z**4 + 1 in the form s + k*z + r*z**3 + v*z**2 + w*z**4 and give w.\nAnswer: -12986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 9684?\nAnswer: 106524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f**3 - 1854*f**2 - 465*f\/2 + 58 = 0. Calculate f.\nAnswer: -1\/4, 1\/8, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*v + 83 + 2. Is (v\/15)\/(8\/9840) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + (sqrt(77)\/sqrt(7) + sqrt(11) - sqrt(11)))*-3)**2.\nAnswer: 1944*sqrt(11) + 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 18*v - 41. Let c be o(15). What is the closest to -16 in -3\/5, -2, -1, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-45) - 21\/(-5). Suppose 2*j - q - 3*q = 12, -5*j = o*q. Solve -5*w + 31 = -4*a, -2*w - 5*a = j*w + 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133\/24 - 16\/3. Let q(u) be the third derivative of 0*u**3 + 0*u + u**2 + n*u**4 + 1\/15*u**5 + 0. Find the second derivative of q(l) wrt l.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575803 is divided by 1601?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + n - 532. Let d = 78 + n. Let r be 4*(5\/2 - 2). Solve 2 = d*c - r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (4 - -2) + -2 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 5*n - 4*a + 20, 18 = 3*n + 3*a. Factor 1\/4*i**4 + 0*i**n + 1\/4*i**3 + 0*i + 0.\nAnswer: i**3*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 9:53 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -81. Let s = g - 24. Solve -3*n + s = -0*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 9*n**2 - 6*n - 11. Let q be k(8). Solve -33 = q*u - 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 4*m**2 + 17*m + 9. Is q(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17383 (base 9) to base 10\nAnswer: 11982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) -0.2 (b) -476 (c) 142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11235643, -22471290, -33706937, -44942584?\n\"Answer: -11235647*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from {a: 2, c: 3, l: 1, h: 4, k: 4, t: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 57*q - 114. Let s be f(-30). What is the remainder when 53 is divided by (6\/(-8))\/(18\/s*4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/10 + 30\/300.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 3, 0.25.\nAnswer: -0.04, 0.25, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/55 + 59\/220. Let w = -2 + 0. Let t(p) = 2*p**2 - p. Let k be t(-1). Which is the smallest value? (a) w (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 3*k**2 - 7*k + 2. Let y(h) = h**3 - 7*h**2 + h - 1. Let c be y(7). Let n = 11 - c. What is the remainder when t(n) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1407, -1399, -1391, -1383?\n\"Answer: 8*x - 1415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12*(-2)\/(-14))\/((-20)\/(-70)). Let q(g) = -2*g - 5 + 3 + 4 - h. Calculate q(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580 = 4*t + 584. Sort -43, -2\/15, 0.3, 3, t in decreasing order.\nAnswer: 3, 0.3, -2\/15, t, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 7 - 1. Suppose -o - b = o. Let m(i) = -9*i**3 + 2*i + 1. Let g be m(o). Solve g = -q + 3*v, -4*v - 12 - 4 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t + 6. Solve t*o + 4 = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (4 + -4 - -6) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 44*r + 478. What is the lowest common multiple of 90 and g(28)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1887*l**2 - 664*l + 4. Let f(c) = -3*c**2 + 8*c - 1. Let p(t) = d(t) + 4*f(t). Find the second derivative of p(o) wrt o.\nAnswer: 3750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 868.1 and 1.\nAnswer: 868.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 3918\nAnswer: 7\/1959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-15*(-5)\/(-30))\/((-4)\/(-72)*-15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 10. Suppose -s*o + 105 = -84. Let r(q) = -q**2 - 8*q - 5. Let d be r(-6). Calculate the greatest common divisor of d and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5714 divided by -2?\nAnswer: 2857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f - 6. Let r be (((-10)\/(-25))\/((-3)\/(-15)))\/(-1). What is the smallest common multiple of i(r) and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 5:45 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -6*k + 15. Suppose 0 = k*r + 2*t - 50, -r = r + 4*t - 36. Calculate the lowest common multiple of (-3)\/(-12)*10*8 and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/14280 and 191\/210.\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-6)*(0 + 3). Let l be -6*(k\/(-6) + 40\/30). List the prime factors of ((-2)\/l*-129)\/(1\/(-6)).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than -394450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 675*w**2 - 137*w + 445. What is the thousands digit of v(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16, -3909, 13.\nAnswer: -3909, 2, 13, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132*p**3 + 7*p**2 + 39335*p?\nAnswer: -792*p + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -20. What is the greatest common factor of 120 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-24))\/((-6)\/(-8))*-1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2296 and 131827?\nAnswer: 129531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67266 is divided by 8406?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 330, 0.19, 2.2, -2\/7, -0.1?\nAnswer: 330","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19627.4466 minus 0.0076?\nAnswer: -19627.4542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2 + g - 1. Let q be y(1). Suppose -q*k + 3*k = -4. What is the lowest common multiple of k and ((-52)\/8 + 2)*-2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 1\/(1380\/(-2164)). Let d = 1629 - 37457\/23. Let s = q + d. What is the closest to 1 in 0.2, -1\/3, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169 - 85 = -12*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 7:14 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n + 1024*n**2 + 48*n**2 + 1943 + 9551 - 358*n**2 wrt n.\nAnswer: 1428*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 greater than or equal to -177\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*g**2*q + 12*g**2 - 9599*q**2 + 1908 wrt q?\nAnswer: 4*g**2 - 19198*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(5*y - 5*y - 8*y**4 + (3*y**4 + 0*y**4 - 4*y**4)*(-2 + 4 - 1)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2212 + -1221. Let b = -506 + g. List the prime factors of b.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/60 - 179\/4. Let o be 2 + -1 + 1*-28. Let x = o - n. Which is greater: 17 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*x + 37*x + 62*x - 385 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -230 in 1\/3, -61\/8, -1?\nAnswer: -61\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 515516904\/10 - 4\/10. Let v = 1031298593\/20 - u. Let w = v + -13237. Find the common denominator of w and -39\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 290878 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 p when three letters picked without replacement from eneunaaeuneeannapaa.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3678*l + 1477. List the prime factors of n(-19).\nAnswer: 71359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2354 - -129529\/55. What is the common denominator of b and -56\/3365?\nAnswer: 37015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 5*i - 1. Determine s(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -114 - -374. Is 65 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2085531231 and 4.5.\nAnswer: -2085531226.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.96 - -3.128. What is the nearest to 1 in j, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 2*j - 5*c, 25*c - 17 = -5*j + 23*c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -4*j + 0*j**2 - 4\/3*j**3 + 0 + 2*j**4. What is the second derivative of w(v) wrt v?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1821 and 84549637.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 2:43 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, n: 4, v: 4, m: 1, t: 2, p: 2}. Give prob of sequence mpgv.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.1564 + -26.94.\nAnswer: -33.0964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 126, 100, 34, -84, -266, -524, -870?\nAnswer: -1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3. Let r = 3 - w. Solve 3*i + 0*i + 25 = 2*a, -r*a = 2*i - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*r - 208*r + 161*r - 135*r + 179.\nAnswer: -363*r + 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 921965 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31562 is divided by 91?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n + 20 = 9*n + 23*j - 27*j, 3*j + 50 = -8*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343*n - 35114 = 345*n. Let s(x) = -154390*x - 3. Let c be s(-4). Let l = c + n. What is l rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/8 of a litre?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/5, -2255, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 1.77 (c) -0.3 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 28*o**2 + 2*o + 58. Let i be u(-28). Suppose 0 = i*q - 221 - 133. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/95 in -4, 5, 913, -1\/4, -7\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -4 + 3 + (-40 - -54)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 89 + 54 = -198 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-144)*-6)\/(-4*2\/720)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/969528 and -25\/3654.\nAnswer: 2908584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*a + 80*a = -127 + 5912 for a.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000142373827 rounded to 6 dps?\nAnswer: -0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -54 + 244. Suppose 4*p + 12 = 3*b + 48, 5*p - 2*b = i. Suppose 5*q = -4*s + 96, p*q = q + 20. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2\/7))\/h)**41*h\/h**(-2\/17)*h*h**(1\/3)*((h\/(h\/(h*(h**(2\/5)*h)\/h)))**(-32\/7))**(-4\/3) assuming h is positive.\nAnswer: h**(40517\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 16*g - 42. Let a be h(6). What is the greatest common divisor of 120 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113 + 81*h**2 - 191 + 81 + 17*h**2.\nAnswer: 98*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 431338*g. Let k(t) = -t**2. Calculate k(n(u)).\nAnswer: -186052470244*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32988241 and 1287?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/95)\/k)\/k)\/k*k*k*k**20*k)**32 assuming k is positive.\nAnswer: k**(60864\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -5759711610 to the nearest 100000.\nAnswer: -5759700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 6*l + 4. Suppose 3*s - s + 7 = 3*y, -2 = 2*s - 2*y. Let o be u(s). Let q = -3 + 10. Solve 5*j - 4 = 2*g + q, -5*g - 3*j - o = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (11\/((-99)\/27))\/((-114)\/1140)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 961 divide 67101825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1107263, 1\/9, -11, -3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f + 62. Give i(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -78, -16 in descending order.\nAnswer: 0, -3, -16, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 6*u**2 - u + 6. Let l be g(6). Suppose 4*x = -l*x + 4. Suppose 0 = r - 2 - x. Sort r, 8, 4 in descending order.\nAnswer: 8, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p - 5*p + 2)*(-1 + 1 - 2*p).\nAnswer: 4*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujgfnvgj. What is prob of sequence ung?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/21 - 43\/63. What is the common denominator of u and (-115)\/(-6) - 1*-2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g**2 - g. Let j(w) = -1328*w**2 - 417*w. Let q(a) = -6*d(a) - j(a). What is the second derivative of q(v) wrt v?\nAnswer: 2524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285753 != 555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*u)*(0 + 13 + 4)*(-4 + 4 - 6*u).\nAnswer: 204*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 53.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 6:06 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0*l + 16*l)*(-4 + 5 + 0).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/((-1)\/(-2))*207\/(-8142)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93*v - 63*v + 106*v)*(-3*v + v + v) - 5*v + 5*v + 2*v**2 + (-16*v - 7*v + 6*v)*(-3*v + 2*v + 0*v).\nAnswer: 69*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**5 + 15*d**4 + 9*d**3 - 3*d**2 - 3*d.\nAnswer: 3*d*(d + 1)**3*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -7 - -4 - 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -1 + 1\/(-5). Let v = -39\/17 - -419\/153. Which is the nearest to -0.2? (a) v (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*o + 20 + 340. Calculate the highest common factor of o and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -1 + (-12)\/(-7 + 4). Suppose -235 = c*a + 2*a. Let d = 49 + a. Solve 5*f + 22 = d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 148354554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 5:03 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -1\/20*i**5 + 0*i**2 + 0*i**3 + 0 + 1\/12*i**4 - i. Find the third derivative of z(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(72)\/(-3*sqrt(12))) + sqrt(117)\/(sqrt(1296)*-3).\nAnswer: -109*sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 + 6*i**2 + 2*i**2 - 52)*(-4*i - i + 2*i).\nAnswer: -24*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 166100 + 5?\nAnswer: 166105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 8*p - 9. Let w be r(-6). Suppose -3*v = -7 - 5. Suppose j = w*j + v. Which is smaller: -3 or j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1101 + -769. Suppose 78*y + h = 82*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 3716*o + 66543. What is p(18)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxuxxxxx. Give prob of sequence xu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 7*x**2 + 4*x + 8. Let u be i(6). What is the least common multiple of 6 and u\/(-18) + 88\/9?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from {k: 1, v: 3, x: 5, b: 2, a: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26870480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 14) in base 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -2\/81 (b) 31 (c) -0.1 (d) 0.5 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97503 - d + 97503.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 5*u**2 + 4. Let k be d(5). Let g(y) = y - 5 + k - 2*y + 8. Calculate g(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -927457?\nAnswer: 927456.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 1. Let x(b) = -2*b + 20. Let n(i) = -a(i) + x(i). Suppose p = 2*p - 9. Is 6 a factor of n(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -58, 1, 6.\nAnswer: -58, -5, -4, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 592550946 divided by -893742\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3088*u - 24701. Let g be h(8). Factor -3\/8*j - 1\/4 + 15\/8*j**g + 7\/4*j**2.\nAnswer: (j + 1)*(3*j + 1)*(5*j - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**6\/30 + 13*u**5\/15 + 13*u**4\/3 - 80*u**3\/3 - 3*u**2 - 10. What is j in a(j) = 0?\nAnswer: -10, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164992780 by 4.\nAnswer: 41248195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 5. Let f be r(-6). What are the prime factors of (f - -16) + -2 + -2 + 3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156766 is divided by 142?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/160)\/1)\/((-3)\/5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 9) to base 2.\nAnswer: 1000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*b = 445. Let j = -45 + b. Suppose -5*q + 43 + 12 = 0. Calculate the highest common factor of q and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, b: 1, c: 2, l: 2}. Give prob of picking 1 e and 1 c.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*v - 11 + 13 + 41*v - 2*v - v + v + (2 + 2 - 3)*(-v + 1 - 1) to the form f + r*v and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8685513 to the power of 1\/2, to the nearest integer?\nAnswer: 2947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9786, 19566, 29336, 39090, 48822, 58526, 68196?\n\"Answer: -q**3 + q**2 + 9784*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82158353 by -12.\nAnswer: 82158353\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsqqqqsqqssqgss. What is prob of sequence qg?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 61461355 (base 7) in base 14?\nAnswer: 97b7d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + (2 - -13 - (26 + -20))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -13 + 43 + -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*w = -158*w + 15. Sort 4, 5, 0, w in increasing order.\nAnswer: 0, w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxxnvqxvqxvwvqssxwx. What is prob of sequence snq?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 63*g - 45. Give s(-30).\nAnswer: -1035","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/9 (b) -13.9805 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 310*r**3*x**3 - 2*r**3*x**2 + r**3*x + 210*x + 2 wrt x.\nAnswer: 1860*r**3*x - 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(((a*a**0)\/a)\/a))*a)\/(((a\/a**16*a)\/a)\/a))\/(a**(-17)\/((a\/a**(-8))\/a*a)) assuming a is positive.\nAnswer: a**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 3*z - 190, -2*k + z = -4*z - 45. What is the highest common factor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 40*o.\nAnswer: 4*o*(o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*b = 5055880 + 3158469. What are the prime factors of b?\nAnswer: 11, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1073683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p + 15*p = 6*b - 6, 4*p = -3*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 14*l**2. What is the units digit of c(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -12. Suppose -5*i - 5*u = 0, 2*i - 3*u = 3*i + 8. Put i, d, 15 in decreasing order.\nAnswer: 15, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00436 rounded to 4 decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*u + 21*u - 26100 = 35*u - 2286 for u.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*s - 330*s = 52*s - 4470564. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + 4)\/(1\/15). Let w = -1.1128 - -4.1128. What is the biggest value in b, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/496 and -17\/40672?\nAnswer: 40672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s. Let w be v(2). Suppose -d + 2*h = -0*d - 38, -5*d + 214 = -w*h. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204\/2040 - (5 + 2094\/(-60))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39376 divided by 2?\nAnswer: 19688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 12 = -2*x, -3*x + 43*j - 48*j = -26 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3531794069?\nAnswer: 3531794069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -36*t**2 - 2651*t + 1033. Give i(-74).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/10)\/(1*6\/(-15)). Let t(b) = 212*b - 212*b - 4*b**h. Let n(u) = 5*u. Calculate t(n(q)).\nAnswer: -100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033430173 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9*d - 22. Determine j(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5948?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 26*f**2 - 26*f - 524. What is r(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 + 3*t**2 - 11. Let j(o) = o**3 - o**2. Determine -3*j(x) - z(x).\nAnswer: -x**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631050 is divided by 7424?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10\/25311 + -250431\/337480. Calculate the common denominator of -89\/440 and f.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhxllchhchxhchhlhlh. What is prob of picking 4 l?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 1. Give b(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -875955696 by -21.\nAnswer: 41712176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*g - 91 - 37 - 35*g.\nAnswer: -2*g - 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 - 0.431. Let t = 0.8515 - 0.7515. What is the second smallest value in c, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 24*b**2 - 19*b - 116. Let m be y(25). Solve 3*w = 37*w - m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44336 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*c**3 + 3*c**3 + 5*c**3 - 6*c**3)*(-4*c + 21*c + 30*c) to t + g*c**4 + n*c**3 + o*c + r*c**2 and give g.\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39490?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 1, -2, -3, 2 in descending order.\nAnswer: 22, 2, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 761259.6um?\nAnswer: 0.0007612596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 7*v - 10. Let y be c(-4). Solve 0 = y*b - 8*k + 3*k + 7, -k = b - 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f + 4*f)*(5*f + 0*f - 2*f) + (3 + f - 3)*(-1 + 1 + 2*f).\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -14. Let v = i + -25. Let f(j) = j**2 - 29*j + 29. Let y be f(28). Sort y, v, 14 in ascending order.\nAnswer: v, y, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -5.2. What is the biggest value in w, 24, -3\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*c**2 - 29705*c - 10600 = 0. Calculate c.\nAnswer: -424, -5\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82*j**2*x**4 + 3*j**2 - 2*x**5 + 77*x wrt x.\nAnswer: -984*j**2*x**2 - 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**4 + 4*v**3 - 8*v**2 + 582*v + 16. Let f(x) = -x**4 + 3*x**3 - x**2 + 2. Let h(g) = 8*f(g) - u(g). Find the second derivative of h(c) wrt c.\nAnswer: -168*c**2 + 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77906377 a multiple of 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68448 and 744558?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 34. Let z be (2 + 0)\/(2\/(-2*8)). Let d be h(z). Let f be 4\/(24\/d) - (0 + -10). What is the highest common divisor of f and 338?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1054 - 43?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11832 is divided by 115.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5880008 times -0.21\nAnswer: 1234801.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (38\/4)\/((-2)\/4). Let r = -11 - l. Suppose 16 = 12*y - r*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17718, 70970, 159716, 283950, 443666, 638858?\nAnswer: 869520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 0*r**5 + 7\/6*r**6 + 0 + 16*r + 6*r**2 + 0*r**3 + 0*r**4. What is the derivative of l(o) wrt o?\nAnswer: 140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Let h = -6 + 28. Solve m = g - 3, -2*f - h = 3*f - 4*g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -15433.\nAnswer: -4\/15433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 28.944. What is r rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 6. Let l(s) = -s + 7. What is 6*k(n) + 5*l(n)?\nAnswer: 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50612, 50605, 50604, 50615, 50644, 50697, 50780?\nAnswer: 50899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4011.99961 + 4011.8. Round y to two decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**2 + 21687*w**3 + 5*w**2 + 9*w - 21685*w**3 + 3 to u*w + b*w**2 + g + m*w**3 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9815 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 255699461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10189, 20127, 30067, 40009, 49953, 59899, 69847?\n\"Answer: k**2 + 9935*k + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24055420?\nAnswer: 2, 5, 1202771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l**2 - 8*l. Let c(m) = 5*m**2 + 9*m. Suppose 3*h - s + 22 = 0, -383*s = -387*s + 28. What is h*b(n) - 4*c(n)?\nAnswer: 10*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s. Let n(o) be the second derivative of o**6\/720 + o**4\/2 + 5*o. Let h(y) be the third derivative of n(y). Give h(j(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 2. Suppose -15 = 5*q + 5. Let d be v(q). Suppose 0 = 11*x - d*x. Are x and -3\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 8*f - 5*f - 3*f**2 + 3*f**2.\nAnswer: -f**2 - 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14971, -29938, -44905, -59872, -74839?\nAnswer: -89806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5*2348.6\nAnswer: -11743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -222.93 - -226.93. Put o, 11\/5, 6, -4, 1\/3 in descending order.\nAnswer: 6, o, 11\/5, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 4*b**2 + b - 1. Let r be q(4). Suppose -t + 2 = r. Which is smaller: t or 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 102 and -5134194647.\nAnswer: -5134194545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 + -112220212?\nAnswer: -112212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 37.8. Let u = -3 + k. Let h = 1146 + -1146. Which is the nearest to u? (a) 2 (b) h (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/20 and -101\/532.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*l - 300*l + 8190 = -92*l for l.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*w - 1, 2*h + 413 = -5*w. Does 15 divide (h\/(-2))\/(3\/12*2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**2*o))\/(o**(-2\/23)*o)*o**(-5)*o\/(o**1\/o*o))**(-35) assuming o is positive.\nAnswer: o**(7175\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 11) + (-18 - -9 - -14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, 0, -4 in ascending order.\nAnswer: -4, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 75\/12313 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 1) + -4 + 4. What is the highest common factor of 6 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(154\/4)*(-693)\/3663.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56.1 + -48. Let c = 13.1 - k. Sort -3, c, 0, -1\/5 in decreasing order.\nAnswer: c, 0, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.98 + -0.02. Let f = -92 + 95. What is the closest to o in -0.3, f, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, b: 1}. Give prob of sequence lll.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -1\/4, 0.5, -5\/2, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324572?\nAnswer: 2, 53, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13515\/13260 + 8\/(-8) and 1 + -137*1\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 4, h: 16}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 (base 10) in base 3?\nAnswer: 101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, t: 1, k: 1, c: 3, a: 1}. Give prob of picking 1 a and 1 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -177, 4, -1, 2 in ascending order.\nAnswer: -177, -1, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 151 and 14507929.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12313 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10070 = -4*x + u + 41834, x - u - 7941 = 0. What are the prime factors of x?\nAnswer: 3, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1297 - 1.2193. Round p to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/196656 and -83\/2221056.\nAnswer: 37757952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 4*t**2 + 3*t + 3. Let g be 12*((-8)\/3)\/2. Let b = g + 12. Determine a(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8042 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(17*x - 27*x - 51*x).\nAnswer: 122*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k + 6. Let l(h) = h + 1. Let w(t) = -j(t) + 6*l(t). Let b(u) = -4*u + 0*u - 2*u. Give w(b(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, 5, 6, -3 in ascending order.\nAnswer: -3, 2, 5, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65.29 - 65.609. Which is the closest to -0.1? (a) -0.2 (b) v (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 4)*(-2*n**2 + n**2 + 5*n**2) + 0*n**2 + 0*n**2 - 3*n**2 + (-4*n + 2*n + 0*n)*(n - 3*n + 4*n).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 2. Suppose -178 = -5*g + 102. Let u be 24\/56 + 4\/g. What is the biggest value in w, u, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from vyyyycdc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -55. Let s(k) = k**2 - 7*k + 6. Calculate s(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 36*b**2 - 20*b + 717. Calculate n(36).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/72 + (-10)\/45.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16128 divided by -16\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -2) + 6 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*z - 4 + 2 = 0, 0 = i + z. Let q(j) = i*j**2 - 4*j - 246 - 2*j + 246. Let s(x) = -x**2. Calculate s(q(l)).\nAnswer: -4*l**4 + 24*l**3 - 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from kkpkyykbykkpkkbbkpkk?\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36504655?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 3*n - 21, -314*n = x - 312*n - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 546 and -2110194.08344.\nAnswer: -2109648.08344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 8*m - 3. Let g be a(7). Suppose g*k - 112 = -0*k. Suppose -l + w = -4, 5*w - k = -l - 2*l. Calculate the lowest common multiple of 1 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**2 - 12*g**2 + 3*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + s + 0)*(-2 - 2 + 2) - 55 - s + 24 - 43 to the form h + u*s and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 29*i - 24*i. Solve -5*z - i = 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-4))\/(2\/8). Let z(q) = q - 1. Let p be z(f). Suppose 0 = 5*a + s - 6*s - 40, -32 = -4*a - p*s. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423 + 469 + (1 - -1) + -11.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Let t = -1 - x. Let d(y) = -y**2 + 2*y + 3. Let l(k) = -1. Give t*d(u) - 3*l(u).\nAnswer: u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from {v: 4, j: 2, x: 1, c: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5506064 divided by -11\nAnswer: -5506064\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**7\/840 + h**6\/120 - h**5\/120 - h**4\/24 - 269*h**3\/3 - 137. Let u(j) be the third derivative of w(j). Calculate u(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**3 - c - 1. Let k(b) = b + 1. Suppose -62*g = 13*g + 75. Determine g*p(v) - k(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 - 36*x - 45. Let d(w) = -w**2 + 18*w + 23. Let f(c) = -9*d(c) - 4*i(c). Factor f(n).\nAnswer: -3*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2026, 2078, 2222, 2506, 2978?\n\"Answer: 8*d**3 - 2*d**2 + 2*d + 2018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 82 - 82 + 27*o. Let d(i) = -5*i. Calculate d(k(r)).\nAnswer: -135*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d + 3*d - 4*d)*((-3*d + d + d)*(-1 + 2 - 3) - 3 - 6*d + 3 + (5 - 1 - 3)*(2 - 2 - 2*d)) as j*d + m + p*d**2 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-13) - 1116\/(-156). Let s(p) = -2*p**3 - 2*p**2 + p - 1. Let m be s(-2). Solve -3*n - 5 = t, -c*t + 3*t + m*n = 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01200552 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**5\/7 + 1188*h**4\/7 - 764*h**3\/7 - 37008*h**2 - 1462784*h\/7 - 543744\/7 = 0.\nAnswer: -8, -2\/5, 18, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/4)\/((-6908)\/471)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 - 184*k + 668. Let u be y(42). Let t = 1 + 2. Which is the closest to 2? (a) u (b) 10 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47800 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 1. Let b(m) = 6*m - 12. Let w(d) = b(d) - 4*x(d). Let i be w(6). Let g be (4\/46)\/(214\/14766). Solve i*s - g - 2 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(272)*1 + 0 + sqrt(272)*-2)*-2.\nAnswer: -6 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-3)*h*h*h**3)\/(h**(-3)\/(h\/h**(-2\/11))) assuming h is positive.\nAnswer: h**(156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-96)\/336)\/((-1)\/49). Let g(k) = 83*k**2 - 7*k + 16. Let u be g(3). Calculate the highest common factor of u and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 - 7*v**2 - 25*v + 33. Let q be w(10). Suppose 110 = 17*l - 859. Calculate the highest common divisor of l and q.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.41746s in nanoseconds?\nAnswer: 13417460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfch when four letters picked without replacement from cfichidhhfidi?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*g + g - 53, 71 = -5*x + 2*g. Let t = 27 + x. Suppose -3*m + 9 = p, 4*m = -4*p + 8*m - t. Let a(w) = -w**3 + w - 11. What is a(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*x - 214 = 228, r - 445 = x. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3321660 and 2088.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428935309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 + 58*f**2 - 127*f**2 - 7*f + 53*f**2 + f.\nAnswer: 3*f**3 - 16*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 11*l**2 - 12*l + 11. Suppose r + c = 3, -2*r + 2*c + 22 = -0*r. Is m(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 58 = 238. Suppose -i*o + 75*o = 165. Let v(r) = r - 7. Calculate v(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o = 15*o + 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2268 divide 267283800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 7:53 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 3:55 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*f + 4. What is the tens digit of 16 + 444 - f*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, -45116, 0, -4, -2 in decreasing order.\nAnswer: 0.8, 0, -2, -4, -45116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 7*s - 65. Let o be (5*(-1)\/15)\/(s\/(-3)). Which is the third smallest value? (a) 0.2 (b) o (c) -2\/15 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o = -8*o. Suppose o*m = -6*m + 18. Suppose -2*j + 7*j = -2*u + 97, 4*j = m*u - 180. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -0*q - 4*w + 400, -2*w = -3*q + 275. Is q\/10 - (-1)\/(-2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u**3 - 8*u - 18. Let w(x) = 87*x**2 + 14*x - 9*x**3 + 35 - 88*x**2 - 4*x**3. Let n(h) = 11*c(h) + 6*w(h). Give n(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 95*j - 276.\nAnswer: -(j - 92)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 35*z. Let m(g) = -874965*g. What is m(h(r))?\nAnswer: -30623775*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2\/9, -3, -1\/4, -1, -0.013?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*z - 5707 = -27616. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 154090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*g - 10*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5095 divide 2814671610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -33 (b) 1\/5 (c) -768\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 10*d**2 + 2*d + 6. Let n be o(10). Suppose -5*w - n - 9 = 0. Suppose -j + 1 - 4 = 0. Which is the smallest value? (a) j (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 7*c**2 + 3*c**3 + 3*c**2 + 8*c**3 + 2*c**4 + 5 - 8*c**2 as j*c**3 + k*c**2 + l*c + i*c**4 + x and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.025642 - 52983789.\nAnswer: -52983788.974358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -37*i**3 - 26*i**2 + 3. Let t(q) = 110*q**3 + 78*q**2 - 8. Let b = -81 + 78. Let z(x) = b*t(x) - 8*m(x). Find the third derivative of z(v) wrt v.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144945 plus -0.2?\nAnswer: -144945.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**4 + 2*s**3 + 1012*s**2 + 88388*s?\nAnswer: 24*s**2 + 12*s + 2024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0086665571 to 4 decimal places.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 881683.9 decades in millennia?\nAnswer: 8816.839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(5*n**5 - 3*n**5 - 3*n**5).\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 446655 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g\/(g\/((g**(5\/4)*g)\/g)))*g*g**(-3)*g*g*(g**(-1)*g)\/g**4*(g\/(g*g*g**(-1)\/g))**(-36)\/(g*g\/g**(-2\/3))**(-3\/10) assuming g is positive.\nAnswer: g**(-809\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -137 - -131. Suppose 0*a = a + 2. Let x = a - w. Solve 3*c = -0*l + l - 1, x*c + 4*l - 20 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -591 + 592. Solve 0*l - l - z = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + ((-569)\/(-2) - (-8)\/16).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yybbyybbbbbbbbbbbbby. Give prob of picking 2 y.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 126, 101, 98, 123, 182, 281?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 893566385?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 3*c + 138 - 118, -2*k + 4*c = -8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 158*j**3 - 77*j**2 - 2.\nAnswer: 948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9365, -0.5, 471, -0.05 in increasing order.\nAnswer: -0.5, -0.05, 471, 9365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9786.759 centuries in years?\nAnswer: 978675.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 31 = -3*k, -4*k + 5*p = 4*p + 13 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = o - 1, 5*o - 5 = -n - 0. Which is bigger: n or -12\/25?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 215 + -126. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l*l**(-2\/3)*l)\/l*l))*l**12)**(-19\/3))**50 assuming l is positive.\nAnswer: l**(-38000\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19538, -38979, -58420, -77861, -97302?\n\"Answer: -19441*q - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 2, -4, 4 in ascending order.\nAnswer: -15, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*z - 102*z + 182*z**2 + 54*z - 59*z**2.\nAnswer: 123*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 - -118. Calculate the remainder when d is divided by -1*581\/(-35) - (-4)\/10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 3, y: 4, s: 3, r: 3, p: 1}. Give prob of picking 1 i and 1 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15542\/5 or -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123524?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1088) + -1*sqrt(1088)*-3 + ((sqrt(17) - (2*sqrt(187) - sqrt(187))\/sqrt(11))**2 - sqrt(51)\/(sqrt(363) - sqrt(3))).\nAnswer: 4 + 319*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 122493 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5\/3 + 2340*i**4 + 2221542*i**3 + 886497992*i**2\/3 + 11173648640*i + 40108185600 = 0.\nAnswer: -1680, -73, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-42))\/(2\/(-6)*-6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190353 + 190353 + 3*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5366 and 29513.\nAnswer: 59026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/5853000 and -133\/30.\nAnswer: 5853000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, -55 in increasing order.\nAnswer: -55, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-2)\/(-12))\/((-299)\/(-1794)) and ((-4)\/5)\/((-4)\/170).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 6515141.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 4. Let x = k + 41. Calculate the greatest common divisor of x and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 10:32 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7756 - -7755.88482. Let v = f + 0.11. Round v to four decimal places.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143651 times -3.7?\nAnswer: 531508.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20022222210 + 112?\nAnswer: -20022222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = -3. Let k be (6\/18)\/(4\/f). Which is the third smallest value? (a) -1 (b) k (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7248245 is divided by 1835?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 19*y + 8*y - 289 = 0 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 6. Suppose 0*y - 10 = -2*y. Suppose 2*k - 105 = -3*k. Calculate the remainder when q(y) is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000132865457 to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11593614?\nAnswer: 2, 3, 233, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5618 in 1\/2, -1\/3, -13, 2\/7?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 9:56 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1434 (base 6) in base 7?\nAnswer: -1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 7:26 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 0*c**6 + 0*c + 0*c**2 + 6\/7*c**7 - 13 + 0*c**5 - 8*c**3 + 0*c**4. Find the third derivative of a(g) wrt g.\nAnswer: 720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(1\/3)))**(-1\/7))**(-1)*(p**8*p*p**(-1\/18))**14 assuming p is positive.\nAnswer: p**(7892\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 13744.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + 57 + (-4 - (0 + 4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-1\/9)*c**(-1\/10)\/c*(c**(-9\/2)*c)**(4\/9) assuming c is positive.\nAnswer: c**(-139\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20248 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100 - -92. Let f be (-1 + 2)\/1 - (0 + a). Suppose -f*k - 14140 = -29*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*((-12)\/36 + (-94)\/(-48)). Let q = 8 - 5. Which is greater: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 divided by -142177?\nAnswer: -241\/142177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -2 - 41) + -1. What are the prime factors of -3*3*290\/v?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 108 - 69. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 3. Suppose -10 = -2*l - 3*l. Suppose 0 = l*d + 1 - 11. Calculate r(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f + 14\/3 + 6*f**2 - 2\/3*f**3 = 0 for f.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 27933*y - 2 - 14882*y - 4328*y + (1 + 1 - 1)*(-3*y - 2*y + 6*y) in the form x*y + k and give x.\nAnswer: -47142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojoohhfoooooojoo. Give prob of sequence hfh.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 51*u**2 - 5*u + 9. Let j be i(2). What is the highest common factor of 29 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 1928771?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/179520 and -65\/96.\nAnswer: 179520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 6*a + 3. Let j be v(6). Suppose u + j = 0, i - 5*u - 176 = 82. What are the prime factors of (2 - (-12)\/(-5))*(-2 - i)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 31*z**2 - 82*z - 19. What is the hundreds digit of p(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a decade in months?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3458*d + 5526 - 17261 = -873 + 13344 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 9:33 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-7)\/(-2) + -4). Let r(w) = -w**2 + 8*w - 7. Let p be r(6). Suppose 2*l = -3*y - y + 2, -2*y + 21 = p*l. Sort v, l, -4 in descending order.\nAnswer: l, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(1 - (1 - -1))*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -2*u**3\/3 + 3*u**2 - 4*u + 1. Suppose 13*b = 3*h + 12*b - 7, -4*h = -b - 11. What is w(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*k = 149*k - 4730. What are the prime factors of k?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-168)*-3)\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53533 - -1?\nAnswer: -53532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -5, -31, -1, 13\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**0\/n**(-3)*(n\/(n*(n**(-1\/3)*n)\/n))\/(n\/(n*n\/((n\/n**(-6))\/n)))*(n**(-2)\/((n\/((n\/n**0)\/n))\/n))\/(n**(1\/6)*n**(-5)) assuming n is positive.\nAnswer: n**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/17? (a) 2\/5 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3047 divided by 11.\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74446896 and 144.\nAnswer: 223340688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3503 - 3015. What is the lowest common multiple of 40 and y?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (4 - 3)) + -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9915 + 3453?\nAnswer: cd68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23 + -14 + -1*9. Suppose 5*w = 4*a - 3217 - 9807, u = 3*a + 5*w - 9733. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**5 - t**3 + t**2. Let q(a) = -a**5 + 17*a**3 - 64*a**2 - a. Let i(d) = 3*n(d) - q(d). What is the third derivative of i(p) wrt p?\nAnswer: -120*p**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0 = -5*s + 10, 0 = -5*n - 3*s + 44. What is the smallest common multiple of 6\/4*(-68)\/(-51) and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7712916857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (2 + -6 + 6 - 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2792517.\nAnswer: 3, 7, 13, 53, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107612 divided by 166.\nAnswer: -53806\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*o - 60 = 0, 3*o - 102 = -5*p + o. Solve 17*t - p*t = 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*a + 50*a = -3*r - 30, -r + 3*a = 15 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2*b - 513 = -511, -5*b = -3*c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 6*p - 160. What is s(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*w = 62. Suppose w*i - 33*i + 8 = 0. Does 18 divide i - ((-12)\/12 + (-410)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*q - 97*q - 68 = 0. What is the remainder when q is divided by (-100)\/(-15)*(-18)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-132)\/36))\/(5*9\/225).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -7*m + 24. Let t(s) = s + 1. Let z(a) = a**3 - 5*a**2 - 4*a + 11. Let q(d) = 4*t(d) - z(d). List the prime factors of q(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 180 = -0*r. Let k be (1 - r\/(-20))*(-100)\/30. Which is the third smallest value? (a) -2 (b) -0.2 (c) -3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -2 - -2)*(25 - 72\/3). Which is the third biggest value? (a) -3 (b) 33 (c) -0.5 (d) 1\/6 (e) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, s: 4, b: 8, z: 4}. What is prob of sequence zs?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 17*y + 31 - 211. What is the biggest value in -4, -0.4, y, -0.5, 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from jmjmjtymjm.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (114 - 117 - (-17 + -5 + 10))) + 54?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61735 less than or equal to -2694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/10 and 131 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169 and 6409.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 651910 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/45 and 14\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57496199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15338140\/3 or -5112714?\nAnswer: -5112714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 14*v + 2. Let p be m(-14). Sort 0, -1, p in decreasing order.\nAnswer: p, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 10*n**2 + 9*n. Suppose 0 = 108*l - 453 - 303. Let h(g) = -5*g**2 - 5*g. Determine l*h(w) + 4*c(w).\nAnswer: 5*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21478817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74648, 149378, 224108?\nAnswer: 298838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 445482599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53586 divided by -234.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c - 4. Let f be (-10)\/2 - -1 - 3. Let s be p(f). Let h be (32 + -13 + -16)*5. Which is smaller: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -15, -g = -1055*b + 1050*b - 25. Let y = -6 + 10. Suppose 11 = -3*h - 1, g = -y*i - 2*h + 4. Solve -19 = w + 5*q, 0 = -4*w + i*q - 8*q - 31 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36669421.1 to the nearest ten thousand.\nAnswer: -36670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 2. Let p be z(3). Let l be (-9)\/6*1\/(-6). Which is bigger: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -63, -112, -171, -234, -295?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -6, -93, 16, 4, 25.\nAnswer: -93, -6, -3, -2, 4, 16, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((-72)\/18)\/(20\/6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*d + 61*d = -10. Suppose j + 5*l = -j + 90, -164 = -4*j - 2*l. Does 54 divide j*(d - (-1 + -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -435?\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 7*n + 9. Let p be q(-6). Suppose 4*c - 1948 = -4*m, -p*c + 0 = 6. Let s = m - -44. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/2, 1\/152, 0.4, 4, -3\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-4))\/((-2)\/(-40)). Let p = -37151 + 297205\/8. What is the third smallest value in 2\/13, y, p, -1\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 1275 = -625. Let g = x - 3. Suppose 5*o = 2*s - g, -5*o - 157 = -2*s - 6*o. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 6*t**2 + 3*t - 6.\nAnswer: -3*(t - 2)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**5\/30 + 7*f**4\/12 + f**3 - 175*f**2. Determine g(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**3\/3 - 5*v**2\/2 + v + 2. Let c be g(6). Suppose -t = -i - 3*i + 13, c = i + t. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*m + 43*m + 4. Let o = -3 - -5. Solve 2*l + 1 = -j, -o*l = m*j - 0*j + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-19*x**2 - 15*x**2 - 6*x**2)*(6 - 2 + 0) - 3*x + 5*x + 5*x**2 - 4*x**2)*(1 - 2 - 9)*(x + 0 - 3*x + 1).\nAnswer: -3180*x**3 + 1630*x**2 - 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2744 and 34328126.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-24))\/(((-345)\/(-40))\/69).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 s when four letters picked without replacement from {k: 1, w: 1, y: 6, c: 2, s: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 37700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14976 and 1659008.\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -152*f - 3044. Let n be h(-20). Sort 1, n, 4, 3 in ascending order.\nAnswer: n, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/5)\/(7\/210). Let o be ((-40)\/u)\/(4\/30). Is ((-20)\/o)\/(4\/(-610)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*w - 26, -5*w = -w - 16. Let a = 6 + r. Let t be -4 - ((-3 + 4)*-21)\/5. Is t < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18248 + 18252. Solve -17 = v - 4*n, 7*n - 3*n = y*v + 20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 8:59 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*t. Let y be (3 - 2 - t) + -1. Solve y = 5*r - 0*r - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -5, 14, 5 in descending order.\nAnswer: 14, 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-21)*(-7)\/(14\/12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1028, -4, -8 in descending order.\nAnswer: 1028, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7625?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**3 + 117*g**2 - g - 68. What is w(39)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8278, 33110, 74512, 132496, 207074, 298258, 406060, 530492?\nAnswer: 671566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.519 times 0.19\nAnswer: 0.66861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*i**3 - 9519118*i + 9519118*i.\nAnswer: -22*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*d - 3*u + 2*u, -4*d = 2*u + 32. Let k be (-21)\/3 - (5 + d). What is the lowest common multiple of 14 and 1*3*k\/(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**3 + 910*c**2 + 207025*c = 0.\nAnswer: -455, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511130.\nAnswer: 2, 5, 79, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3480302717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*n**3 + 5*n**3 - 6*n**3 + (1 - 1 + n)*(-3 + 3 + n**2) - n**3 - 6*n**3 + 5*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 17*s + 9. Let n be l(3). Suppose -5*p = p - n. Let j(c) = 4*c - 23*c + 6 + p*c + 8*c. Give j(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/2))**(-9\/8)*x**(3\/8)*x*(x*x**(2\/7))\/x)**(-48))**(2\/103) assuming x is positive.\nAnswer: x**(-1494\/721)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 731 = 2747. Suppose -3*s - 36 - 72 = 0. Let r = s - l. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -4*b**4\/3 + 29*b**3\/6 - 25*b**2. Is 19 a factor of n(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c - 45. Calculate f(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528600 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -6835765, -0.3, -16?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*g - 1\/4*g**3 + 0 - 11*g**2 + 1\/4*g**4.\nAnswer: g*(g - 6)*(g - 2)*(g + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2238 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**3 - 1370*b**2 - 61. Give g(274).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1051 (base 6) in base 10?\nAnswer: -247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/12 and 33\/130?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(5\/(-75)*405\/30)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 11 + 3 = 0. Suppose 0 = -2*l + j*d - 8, -3*d = -2*d - 3. Which is smaller: l or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**6\/12 + z**4\/12 + 2*z**3\/3 - 12*z**2 + z. Let y(d) = -3*d**3 - d - 1. Give 2*o(w) + 7*y(w).\nAnswer: -w**3 - 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 3*n - 2. Let w(d) = d**2. Let v be w(-2). Let a be b(v). Are 3 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2766595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 - -54. Suppose 3*h - 5*t + 2 = 0, 5*t = 5*h - 8 - 2. Calculate the lowest common multiple of x and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tggzzgzttgggvgvggtg. What is prob of picking 1 g, 1 z, and 1 v?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 679\/2 equal to -225\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8. Suppose l = 2*f + 7 - 3. Put 3, f, -3 in descending order.\nAnswer: 3, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549308863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 4. Let w = t + -2. Suppose 3*h + 5*l - 26 = -0*l, 3*l = -w*h + 19. Solve -4*f - 5*c - h = 0, -3*f - 8*c + 3*c = 19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4533071\/12519945 - -28\/68415. Let m = r - -5\/61. Which is the third smallest value? (a) 4 (b) m (c) -4 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 14*h - 6. Let b be j(-2). Let z = -36 - b. Let a(c) = 5*c + 2. Let i(m) = m - 1. Let u(y) = -a(y) + i(y). Determine u(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/1)\/((-5)\/(9 - -1)). Suppose x + 33 = -4*y - 22, f*y = 5*x - 37. Let k = y + 18. Solve -2*v = k*i - 4*v + 26, 0 = 2*i + 5*v - 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -7*y**6\/900 - 3*y**5\/100 - y**4\/30 - 2*y**3\/3 + 2*y**2. Let u(w) be the first derivative of s(w). Let u(k) = 0. What is k?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6257*u + 82. Let z(p) = -12513*p + 206. Determine 5*h(v) - 2*z(v).\nAnswer: -6259*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26750185 to the nearest integer?\nAnswer: 5172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a hour?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*f**2 + 21*f**2 + 21*f**2.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -2*s + 1. Let p = s + 42. Let w = -9 + p. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15173435.\nAnswer: 5, 17, 137, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37 + f**5 - 40 + 0*f**5 + (-f + f - f**2)*(3*f**3 - 6*f**2 + 6*f**2) + (-3*f + 3*f + 2*f)*(-f**4 + 0*f**2 + 0*f**2).\nAnswer: -4*f**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - 267141606?\nAnswer: -267141605.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -5311?\nAnswer: -5306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0*q + 4. Let z = 160 - 157. Let d = -7 + 2. What is the biggest value in z, q, 0.1, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3062\/15 + -41473\/210. Calculate the common denominator of 2\/(-4) + 30\/(-33) and w.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 27*l**3 + 6*l**2 - 29*l - 10. Is k(12) a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 573083, 2292212, 5157411, 9168680, 14326019?\n\"Answer: 573035*c**2 + 24*c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 15*(4 + -3 + 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**2\/2 - 7*k - 4. What is the derivative of p(j) wrt j?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2386, -2169, -1578, -427, 1470?\nAnswer: 4299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -290 and 0.4.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 373378055 and 340?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -222388\/9 + 23928. Let v = c - -781. Calculate the common denominator of v and 62\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1497 - 1492. Let z(g) be the second derivative of g**3\/2 - 11*g**2\/2 + 2*g. Let k be z(b). Solve 0 = 2*i + k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5118.7625 to the nearest ten.\nAnswer: 5120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10.73 times 1109\nAnswer: 11899.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/(-6)*(-1596)\/(-2128).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 7:15 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.5, 98, -0.4, 0.\nAnswer: -0.5, -0.4, 0, 5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222 and 1724634.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f**(8\/3)\/f)\/f))\/(f**(-4)\/f))\/((f*(f*f\/(f*(f\/(f*f\/(f**(2\/15)*f)*f*f*f))\/f))\/f)\/f**(5\/4)) assuming f is positive.\nAnswer: f**(103\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043375117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 947 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 108\/15 + -1*70\/10. Let y = 44\/3 + -15. Which is the closest to y? (a) -7 (b) 4\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c + 1692 = 30*c. What are the prime factors of c?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8468, -10569, -12674, -14783?\nAnswer: -16896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 2. Let i(r) = -r**3 - 7*r**2 - 5*r + 7. Let p be i(-6). Which is the nearest to -1? (a) f (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**3 - 26456*i**2 - 52924*i - 26464 = 0.\nAnswer: -1, 6616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u = 30*u - 17360. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -15, -72, -183, -366, -639, -1020, -1527?\nAnswer: -2178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 3:12 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 461 and 135073.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 8*z + 13. What is the lowest common multiple of i(9) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*i - 45 = 59*i, 5*i + 31 = -2*k. Let q(r) = -1 + 2 - 16*r + 0. Let o be q(-3). Calculate the greatest common factor of o and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 36*g**2 + g**3 + 4*g + 24 - 82*g**2 + 66*g**2. Let o be z(-19). Which is bigger: 308 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4423, -8853, -13285, -17719, -22155, -26593, -31033?\nAnswer: -35475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -34*o + 26. Suppose 3*s + 17 - 11 = 0. What is the remainder when g(s) is divided by 35?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/455 and 46\/2665.\nAnswer: 18655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29, 49, 69, 89, 109, 129?\n\"Answer: 20*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 3. Let s(c) = -5*c**2 - c + 1. Let n be s(1). Let p be k(n). Let j(f) = -f - 12. What is j(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z - 12*z + 4*z**3 - 248 + 250 + z**3 + 2*z**3 - 4*z**3 + (0*z + z - 2*z)*(2*z**2 - 2 + 2).\nAnswer: z**3 - 16*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6002312 is divided by 1195.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 5*n**2 - 1. Let i be k(-5). Is i\/(-1 + (-162)\/(-163)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-4)*(-4)\/(-2). Find the third derivative of -b*w**6 + 2*w**2 + 3*w**6 - 5*w**3 + 5*w**3 wrt w.\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 26, 0.2, -88?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 115 = -3*z, -4*g + 480 = -0*g + 2*z. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**6\/60 + p**5\/50 - 3*p**4\/40 - p**3\/6 - p**2\/10 - 12. Determine w so that m(w) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 19*s - 65. Solve -4 = s*b + 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 11 + 65 = 0. Solve -7*b = 8 + q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -2*l - 5*j + 2*j, j = -5*l + 281. Let n = l + -54. Let c(p) = p**2 + 8*p - 4. Calculate the smallest common multiple of n and c(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029171 rounded to four decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 139 - -10 - (2 - 0). Suppose -k - 17 = -o. What is the greatest common divisor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4080 divided by -4?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 77042750*q + 1483896331890625.\nAnswer: (q + 38521375)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 24343180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*15\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3685*x**2 + 25*x - 26. Let b be s(1). Let m = 11093 + b. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2\/9, -3, -5 in descending order.\nAnswer: 2\/9, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 10) in base 6?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32e0 (base 16) in base 11?\nAnswer: -9870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Let m(x) be the third derivative of -x**5\/60 + x**4\/12 + x**3\/6 - 4*x**2. What is the lowest common multiple of m(u) and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-131*z + 131*z + 440*z**3)*((2*z - 2 + 2)*(0 - 4 + 5) + 4*z - z - 2*z) as b*z**4 + g*z + l*z**3 + c*z**2 + u and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2030.106 times -228?\nAnswer: 462864.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 68. Solve 4*n - g = -4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trf when three letters picked without replacement from {u: 2, t: 1, f: 1, r: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 t when four letters picked without replacement from ututtutt.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1172607404 to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from {p: 13, b: 5}.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3215 + 72?\nAnswer: -3143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 27*c + 4029. Let o(y) = -74*y - 12082. What is 4*o(u) + 11*x(u)?\nAnswer: u - 4009","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 200623488 divided by -66874496\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + t - 30 + 777 = 0, -5*g + 3*t + 1865 = 0. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 39 - 219. What is the greatest common factor of o and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -1. Let b = -136\/471 + 27599\/11304. Let y = b - 16\/9. Sort y, s, -6\/7.\nAnswer: s, -6\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10.7 (b) -1032\/7369 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -98, -96?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -4 - (3 - (41 + -18))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 622148 (b) -1.07 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -465 - 4*b**2 + 73*b**2 - 2*b**3 + 87*b + 465 wrt b.\nAnswer: -12*b + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g - 147 + 567 = 0. What is the remainder when 362 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - o = -52, 2*h + o - 122 = -19. Calculate the highest common factor of 272 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0677219 days to nanoseconds.\nAnswer: 5851172160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkkkvnkkkknk. Give prob of sequence kvvk.\nAnswer: 14\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, p: 3}. What is prob of sequence pi?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41076 and 331821?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396811?\nAnswer: 53, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-9)*i**11*i)\/((i*i**31)\/i**(-1\/8)))**(3\/14) assuming i is positive.\nAnswer: i**(-699\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 0*b - 5*b + 451, -4*b + 452 = 3*d. What is the greatest common divisor of 16 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*k + 4. Find the second derivative of v**k + 0*v**3 + 3*v - 5*v**3 - 2*v wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 3:00 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -239, -333, -467?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*o + 16, -6*l = -5*o - l + 35. Suppose -214 = -3*i + d, i - o*i + 4*d = -288. List the prime factors of i.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 64, 261, 600, 1099, 1776, 2649?\n\"Answer: 3*k**3 + 53*k**2 + 17*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35, -40, -45?\n\"Answer: -5*c - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-1*-2 - sqrt(152)) + -1*sqrt(152)*2)\/((sqrt(160)\/sqrt(4))\/sqrt(5) - ((-2*sqrt(40))\/sqrt(5) - sqrt(8))).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 5, -18 in descending order.\nAnswer: 5, -18, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, b: 5, l: 2}. Give prob of picking 1 l and 3 b.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 11*w - 9. Calculate d(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 93\/3 - (-6 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/5 - (748\/85 + -10). Solve 0 - 50\/13*y + 2\/13*y**5 + 20\/13*y**s - 20\/13*y**4 + 48\/13*y**3 = 0 for y.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103565*j - 160*j**2 + 103565*j to the form i + k*j + t*j**2 and give t.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 3*c + 7944 - 7952, 6*p = 2*c - 3*c + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112 + 156 - 183 - 11*x to z*x + n and give n.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -28, -58, -90, -124, -160, -198, -238?\n\"Answer: -n**2 - 27*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 895?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0845115 rounded to four dps?\nAnswer: 0.0845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -386600 by -4.\nAnswer: 96650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2772 - -135.63.\nAnswer: 135.9072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7)\/c**(-3\/8))\/((c\/c**(-1\/4))\/c)**2*c**(-9)\/c**7*((c*(c**6*c)\/c*c)\/c)\/(c*(c*c\/(c**5\/c)*c)\/c*c*c) assuming c is positive.\nAnswer: c**(-137\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008238 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*c - y + 31342 = 157*c, 5*c + 5*y = 39170. Is 110 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13524 - -476?\nAnswer: 14222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 578584394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 369170064*v**2 + 738340140*v + 369170072.\nAnswer: -4*(v - 92292518)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from xdjljjellxjjlxjj?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -877681281279.58 + 877824573651.579917. Let x = -143292543 + c. Let t = -171 - x. Round t to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-100)\/7 + 8\/28. Find the common denominator of (606\/(-16))\/(21\/w) and -7 + (3666\/180)\/13.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**2 - 1474*g + 33551. Give h(270).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 11:46 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 144228264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -14. Let a = v - -12. Is 4434\/a + (-8)\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 5\/3, -0.3, 2, -3\/32, -4, 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 174\/14)\/(4\/(-12))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a factor of 9180905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -634, 276, 1902, 4244, 7302, 11076?\nAnswer: 15566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17390*y**3 + 203*y + 5 wrt y?\nAnswer: 104340*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1966 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i**12*i)\/i*i)\/((i\/(((i\/i**(3\/14))\/i)\/i))\/i))**(-1\/23))**(-16\/3) assuming i is positive.\nAnswer: i**(1432\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-37)\/(-3) - 3)*192\/112. Calculate the highest common divisor of v and 512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*y**4\/4 + 105803*y**3\/4 + 199969537*y**2\/2 + 271169728*y - 85639704 = 0. What is y?\nAnswer: -7556, -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26, -19, -22, -41, -82, -151, -254?\n\"Answer: -x**3 + x**2 + 11*x - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 z, and 1 g when three letters picked without replacement from {z: 3, s: 3, l: 6, p: 1, n: 6, g: 1}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2722 - 123*d + 38*d - 2722.\nAnswer: -85*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -52, 74, 276, 554, 908?\n\"Answer: 38*c**2 + 12*c - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r - 8 - r**2 + 2 - 3*r. Let v be h(-6). Suppose 2*i = -3*c + 19, -c + v*c = 4*i + 17. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*u + 94 + 776. Solve -13*k + 10 = -u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + 2*w + 0*w + (48*w + 0*w - 9*w)*(-2 - 2 + 3).\nAnswer: -35*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8771629, -8771835, -8772043, -8772253?\n\"Answer: -t**2 - 203*t - 8771425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 + 169*s**3 + 4860 - 106*s**2 + 126*s**3 - 210*s**3 - 1485*s - 149*s**2.\nAnswer: -5*(s - 9)**2*(s - 3)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -13. Suppose -26*q + 32*q = 0. Suppose 2*n - 2*b - 72 = q, -2*n + 5*b + 21 = -54. What is the greatest common divisor of n and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 27, 37, 45, 51?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 10 + x - 9 + 2.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/2720 and 111\/364.\nAnswer: 247520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (180\/21)\/((-85)\/(-70)). Is 8 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3525 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 times 0.13?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 109902.\nAnswer: 1208922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/181968 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 575837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.559?\nAnswer: 0.0559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31649789 is divided by 2357?\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182 - 5*f**2 + 51 - 10 + 7*f**2 + 67 + 74.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31118 minus 3566002?\nAnswer: -3534884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 - 3*l + 3*l + (-2*l**5 + 5*l**5 - l**5)*(34 - 10 + 9)*(-4 - 11 + 12).\nAnswer: -197*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 224.101233 + -224.1. Round w to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0202212 rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14*(-16)\/(-56))\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*t - 28, -5*t + 2*t + 18 = -3*l. Let q = -3 + 15. Let g = 10 - q. Which is the third smallest value? (a) 3 (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/10)\/((h**(-7)*h)\/h)*(h**(1\/4))**(-4\/15) assuming h is positive.\nAnswer: h**(211\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-1 - (3 + -5))) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1302, -0.046, -2, -395?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 21. Let g(j) = j**2. Suppose 5*u + 20 = -5*o, -u = 2*o + 6 - 2. Let k be g(o). What is the tens digit of m(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 - 6 = 0. What is the highest common divisor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 + 2*q - 6. Let m(i) = -6*i**2 - i + 7. Let j(u) = -5*c(u) - 4*m(u). Let l be j(-6). Factor 17*n**3 + n**2 - n + l*n - 18*n**3 - n**4.\nAnswer: -n*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 12:45 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -6. Put g, 3, -2 in decreasing order.\nAnswer: 3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 194 and 7417881.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 192, 190, 186, 180, 172, 162, 150?\n\"Answer: -t**2 + t + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**4 + 40*u**3 + 92*u**2 + 48*u = 0.\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2825 + 2882 + (-146 - -1)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (15 - (14 - 15 - -14))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + 175. Let k = z + -156. What is the remainder when k is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 5*o + 22. Let h(l) = -l**2 - 5*l + 15. Let a be h(-8). Let n be b(a). What is the units digit of 2\/7 - 122\/n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5949312 and 768.\nAnswer: 11898624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, y: 4, e: 1, u: 1, q: 2}. Give prob of picking 2 u, 1 q, and 1 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 4*o**2 + 0*o**2 + 0*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*y, -3*g - 2*y - 12 + 41 = 0. Let w = -2 + g. Suppose -w*c = -85 + 15. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -206 equal to -238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-53)\/(-5) + (-3)\/5. Let d be (-4)\/18 + l\/45. Suppose k + d = 1, -3*p + 41 = 2*k. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*20\/15*6\/4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22237 and 6697?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94b (base 14) to base 5.\nAnswer: 24311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/2*(-7)\/28?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2959 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 4. Suppose -2*i = s*v + 3*i - 70, 0 = 2*v - 3*i - 33. Solve 0 = y - 4*y - 3*p + v, -20 = -4*y - 3*p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -q**4 - 3*q**3*t - 28*q*t + 225*t + 3 wrt q.\nAnswer: -4*q**3 - 9*q**2*t - 28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5648\/91, 6, -0.6, 4 in decreasing order.\nAnswer: 6, 4, -0.6, -5648\/91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - y = 9, -3*y + 93 = -2*q + 116. Which is the nearest to q? (a) -1\/2 (b) 18 (c) 26 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 3*l - 2 + 0*l - 2*l + 3*l + (-l - 2 + 2)*(2 - 6 + 2) + 3*l - 2*l - 2*l - 1647*l + 1041*l - 1035*l - 4699*l.\nAnswer: -6335*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/35, 1 in increasing order.\nAnswer: -5, -2\/35, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.43, -2, -257382 in decreasing order.\nAnswer: -0.43, -2, -257382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-2) - 3)*-6. What are the prime factors of 1\/(38128\/4236 + t)?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64403556?\nAnswer: 2, 3, 7, 61, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 4178.\nAnswer: 29246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**5\/20 + x**4\/3 + x**3\/6 + 3*x**2\/2 + 4*x. Let m be p(5). Is -16 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.952861t in milligrams?\nAnswer: 3952861000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 44 = 3. Suppose -4*h - 4*q + 16 = 0, -38 - 44 = -3*h + 4*q. What is the remainder when d is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189441 is divided by 27063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8435765 centuries in years?\nAnswer: 84.35765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 0 - 12\/14. Let r = 0 + 0.1. Let o be 7\/(-14)*(1 - (4 - (-45)\/(-9))). Which is the nearest to o? (a) r (b) q (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrn when three letters picked without replacement from nrnnnrrnrn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 87.\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 1023?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21407858?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 819\/65 + (-6)\/10. Solve 3*j + 3 = -o, -4*o + 5*j + l = -10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 4*g + 7. Let i = 12 + -10. Suppose i*u = 5*u - 18. Determine y(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**8\/28 - 12*d**6 - 1453*d**4\/12 - 1916*d. What is the third derivative of g(l) wrt l?\nAnswer: 240*l**3 - 8640*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 11 = o, 11 + 3 = -2*s + 5*o. Suppose 315 = s*z - 5*m - 277, 3*m = 5*z - 976. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*p - 6, 5*o - 3*o - 3*p - 27 = 0. Let h = 11 - o. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkdqdqkdkdkdkqkk. Give prob of picking 3 k.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -531567, -1063133, -1594697, -2126259, -2657819, -3189377, -3720933?\nAnswer: -4252487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsq when three letters picked without replacement from {t: 1, h: 1, s: 5, g: 1, q: 2, v: 10}?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1349451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/252 and 101\/2008242?\nAnswer: 28115388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 68*k + 9 - 67*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 105506 - 39?\nAnswer: 105489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 - 5*k**2 - 2*k**2 + (-2 + 4 - 4)*(2*k - 2*k**2 - 2*k) - 3*k**2 + 3*k**2 + 2*k**2 + (-4*k + 2*k**2 + 4*k)*(-1 + 0 - 1).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 126*-113.1\nAnswer: -14250.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4\/2279 - -275799\/22790. Let q = -4390559\/80 - -54883. Calculate the common denominator of c and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4921883 by -1.\nAnswer: -4921883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 12 = -2. Suppose 0 = -v*t + 6*t. Solve 2\/3*i**4 + 0*i + 1\/3*i**3 + t*i**2 + 1\/3*i**5 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**2 - 150. Let o(v) = -v**2. Calculate s(o(h)).\nAnswer: 7*h**4 - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -16 + 4 + -11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 561479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5769932.\nAnswer: 2, 7, 206069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 (base 12) in base 3?\nAnswer: -20111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-190)\/16*(-18)\/870 and ((-45)\/(-12))\/((-180)\/(-520))?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*n + 39 = 229*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 950729, 3802909, 8556543, 15211631?\n\"Answer: 950727*k**2 - k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + -0.3. Let k = 0.01 - 3.01. What is the third biggest value in f, 2\/21, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3467, 13742, 30863, 54836, 85667, 123362, 167927, 219368?\nAnswer: 277691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2217 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/60 and -121\/51980.\nAnswer: 155940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4963222.\nAnswer: 4963218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((243\/(-2))\/(-3))\/((-156)\/(-208)). Let w be (24\/v*3\/4)\/1. Which is the fourth smallest value? (a) w (b) 11 (c) 2\/11 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 6:58 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h**3 - 11956*h**2 + 9548*h + 2388 = 0 for h.\nAnswer: -1\/5, 1, 597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-0.51\nAnswer: -0.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 f, and 1 d when three letters picked without replacement from jjfcjfjncdjjljjcn?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (77 - (-10 + 20)) + (-8 + 2 - -4).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1499397000 to the nearest integer?\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -11. Suppose -3*g - 7 + 1 = 0, 4*q + f = -5*g. Solve -z = -t - 4*z + 5, t = -q*z + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3271, -13088, -29449, -52354?\n\"Answer: -3272*r**2 - r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1738, -3418, -5028, -6568?\nAnswer: -8038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c + 11?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13)\/(m\/(m\/(m**(-33)*m)*m)))\/(m**(-16\/5)\/m*m*m**(-6\/7)) assuming m is positive.\nAnswer: m**(842\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 3*n - 2 + 3, -n + 5 = 2*j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*h*y - 7*f**2*h + f**2*y**2 + f**2*y - 56*f*h*y**2 + 2*h*y wrt y?\nAnswer: 2*f**2 - 112*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6755798*v + 436560 wrt v.\nAnswer: 6755798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 2\/9, 63?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100110010100110001 (base 2) to base 3.\nAnswer: -210021221000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4*m + 16 = 0, 78*m - 76*m + 2 = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -4, -851, 6 in increasing order.\nAnswer: -851, -4, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 192, 368, 534, 684, 812, 912?\n\"Answer: -c**3 + c**2 + 180*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o - 9. Let v be g(3). Let k be 218 + (0\/v)\/3. Suppose -7*w + 223 = -k. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 1 + 4, 0 = -2*g - 2*i + 4. Let r(l) = 10*l - 118. Let k be r(12). Put -5, k, g in increasing order.\nAnswer: -5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 117 = s, -13*s + 18*s = -2*p + 601. What is the highest common divisor of s and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6765.24cm in nanometers?\nAnswer: 67652400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -4488811\nAnswer: -4488817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3*q + 1100 - 1110, v - 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-616)\/(-98))\/11)\/((-28)\/(-21)*-1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 2*f - 3. Let l be o(4). Suppose -l*w + 578 = j - 407, w + 4*j - 197 = 0. Let c = w - 72. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.09715 kilometers in micrometers?\nAnswer: 41097150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 466 + -266. Is j a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -3049881, 5, -1 in increasing order.\nAnswer: -3049881, -4, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 904346 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f - 38. Let r be d(13). Let c = -9 - -20. Suppose -123 = c*p - r*p. What are the prime factors of p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, y: 1, b: 6, e: 1, u: 6, h: 3}. Give prob of picking 1 y and 2 h.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-31)\/11 - 4*3\/66. What is the remainder when 15 is divided by 7\/(-6) + y\/(-18) - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 32 = 14*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7612*w = -7618*w - 3*v + 48, -3*w - 3*v + 36 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44847 + 4843 = -3*a - w, a = -4*w + 13353. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by (-160)\/60*39*1\/(-2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {e: 2, h: 4, c: 1, u: 5, x: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484 is divided by 543.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r + 49. Let b be f(9). Let c = -2.1 - 0.9. Sort b, 3\/5, c, -4 in increasing order.\nAnswer: b, -4, c, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from hhhllhhhhhhhh.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 64474 - 21?\nAnswer: 64453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -9, -1 in descending order.\nAnswer: 1, 0, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*s + 41, -4*b = 3*s + s - 176. What is the remainder when b is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8402, -0.5, -1\/6, 1\/5, 1\/4 in decreasing order.\nAnswer: 8402, 1\/4, 1\/5, -1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 7*r**6\/24 + r**5\/30 + 103*r**4\/12 - r**2 + 288*r. What is the second derivative of q(x) wrt x?\nAnswer: 210*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1 + -2 + (sqrt(2448)*-1 - sqrt(2448)) + -3 + -2 + -5)*5)**2.\nAnswer: 12000*sqrt(17) + 247300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from oohoooxohxxxoxhox.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkx when three letters picked without replacement from xxxdkxxxkdxddkkkxxx?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/(-15) - (-8)\/60. Suppose 0 = 9*u - f*u - 14. Let p(t) be the second derivative of t**3\/6 - t**2 - 3*t. Determine p(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 513 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 450306751 to the power of 1\/4, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93299 is divided by 162.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**4\/12 - 7*i**3\/6 - 7*i**2\/2 + 3*i. Let g(c) = -c - 1. Let p be (-14)\/(-3)*(-1 + 4). Give p*g(f) - 2*b(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-3 - (2 + -4)) + -3 + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + l - 52, -5*l - 20 - 50 = -5*f. Suppose f = 2*b - b. Let x be 14 - b - 1\/(-1). Solve u = 3*h + 4, -20 = -9*h + x*h - 5*u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) 683\/13 (c) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 p, and 1 k when four letters picked without replacement from {r: 1, k: 5, z: 4, p: 4, l: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27135 or -26951?\nAnswer: -26951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4401 and 4077.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -29, 1, -5 in decreasing order.\nAnswer: 1, -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3265 and 30.\nAnswer: 19590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 310.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-20)*i\/i**(-3\/2)*(i**14\/i*i)\/i*((i**(-29)\/i)\/i)\/i assuming i is positive.\nAnswer: i**(-73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + f + 8. Let i(r) = 5*r**2 + 157*r + 2386. Let l(x) = 4*b(x) + i(x). Differentiate l(z) wrt z.\nAnswer: 2*z + 161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b8 + -9b22?\nAnswer: -a01a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1732*r - 1728*r - m + 23, 3*m - 14 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99 + 59. Let h = 363 + x. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**5\/20 + y**4\/12 - 2*y**3\/3 + 3*y**2\/2 - 13*y. What is i(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 divided by 2?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -241 - -256. Let f be (-20 - -2)*(-1)\/3. Suppose b - f + 0 = 0. Solve -b*g = -g - u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3118464 take away -259?\nAnswer: 261.3118464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/162192 and 79\/558.\nAnswer: 486576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01008437963 rounded to six decimal places?\nAnswer: 0.010084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 20, 36, 54, 74, 96?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -91020.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*s**2 - 9707 - 18521 + 7*s**3 + 79*s**2 + 28228.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 545, -78, -3, 2 in descending order.\nAnswer: 545, 2, -3, -37, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**2\/4 + 205*d - 821\/4 = 0.\nAnswer: -821, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 - 11*f**2 + 6*f**2 - 3*f**2.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 7\/4*y**4 - 23*y + 0 + 7\/2*y**3 + 0*y**2. What is the second derivative of d(n) wrt n?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 11427*a - 445656. Give y(39).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*d**2 + 10*d**2 - 3*d + 2*d to s*d**2 + x*d + i and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*v + 2*v - 5*l, -3*l - 15 = 3*v. Let k be (1\/v)\/(2 + 10\/(-6)). Which is the nearest to -1? (a) k (b) 1\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1093636 and -1012.5?\nAnswer: 1012.6093636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 36*k + 7. Let u be n(6). Let z = 628 - u. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 27404?\nAnswer: -1\/27404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (117\/(-54))\/((-1)\/(-6))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 3*q**7\/280 - 29*q**4\/24 + 25*q**2. Let v(j) be the second derivative of s(j). Let o(t) = -2*t**2. Give v(o(p)).\nAnswer: 108*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 + -48. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**4\/12 + i**3\/3 - i**2 + i. Let g be s(2). Let o = g + 4. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 6099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (-7*5184\/(-588))\/(2\/175)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 505, 1\/17, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/71517 and -7\/8.\nAnswer: 572136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 2:24 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 35. Let v be 16\/j - 4\/14. Let m be (-24)\/(-2)*(-19)\/(-57). What is the third smallest value in m, -5\/3, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2815824403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3607 is divided by 974.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*x**4 - 3*x**3 + 70*x**2 - 4*x.\nAnswer: 480*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10953 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -9268206.84 to the nearest 10000.\nAnswer: -9270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -44*n - 5. Let r(t) = t. What is d(k) + 2*r(k)?\nAnswer: -42*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*x = 4*x + 601, -363 = -3*v + 3*x. Suppose 3*d - 2*k = d + v, 288 = 5*d - 2*k. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13579, -13578, -13577?\nAnswer: -13576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/10*i**4 + 1\/5 - 1\/10*i**2 - 3\/10*i + 3\/10*i**3 = 0. Calculate i.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/54?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 329428?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -10*l. Let s be (-6)\/27 - 6\/81*-57. Let h(p) = 2*p**2 - 3*p. Let w(d) = -2*d**2 + 4*d. Let n(o) = s*h(o) + 3*w(o). Give z(n(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26449062569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 350 and 930?\nAnswer: 32550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142211709 is divided by 236?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) -0.0527992 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19040 is divided by 178.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -23*x - 62. Let j(u) = 25*u + 62. Let h(o) = 3*j(o) + 4*s(o). What is the remainder when 599 is divided by h(-6)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 18 = 3*w - 4*i, 4*i = -2*w - 6. Let v be 2\/w - 7\/(-5). Let k = 63 - 193\/3. Which is the nearest to -1? (a) -4 (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**7\/252 + q**6\/180 + q**4\/4 + 4*q**2. Let a(m) be the second derivative of s(m). Factor a(g).\nAnswer: 2*g*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 2*a - 1. Let s be l(-1). Suppose 2*b + s = -14. Let c be b\/14 - (-10)\/4. Solve 2*p - c = -4*j - 14, -5*j + 4*p - 28 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, j: 5, s: 4, h: 1}. Give prob of picking 4 j.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -7. Sort b, 1, 4 in ascending order.\nAnswer: b, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 462399584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 5. Let x be c(8). Suppose -5*k + 61 = x*d - 2*d, 44 = 4*k - 4*d. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 38*h**2 - 269*h + 5983. Determine b(41).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - 6) + (13 - (16 - -9)) - -13?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from bbbbkbbkbbk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4863 - 4835. Solve -2*i = -5*x + 16, -2*i + 3*x = -n + 40 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k + 12 = 0. Let p(r) = -r**2 + 4*r + 1. Let o be p(k). Does 19 divide (o + 6)*(2 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0999888 + 0.1. What is w rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.00375 + 0.049. Let i = -0.0552 + y. Round i to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3900263 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: List the prime factors of 18956315.\nAnswer: 5, 7, 113, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -17*w + 52. Let c be u(3). Suppose 7*r - 6*r + c = 0. What is the fourth biggest value in 1, 0.09, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 z, and 1 h when three letters picked without replacement from mmoooxmhommxozo?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4034361 is divided by 64?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1418 + 2566. What are the prime factors of p?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j**2 - 17*j - 1. Let l(t) = -6*t**2 - 15*t - 1. Let m(n) = 5*l(n) - 4*r(n). Let z(g) be the first derivative of m(g). Calculate z(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k**2 - k. Let m be g(-1). Let q(u) = 13*u**2 + 6*u + 27. What is the units digit of q(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4377532, -4377505, -4377458, -4377391, -4377304?\nAnswer: -4377197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 14 + 17 + 84*j - 48 + 15.\nAnswer: 84*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/(-1911))\/((-6 + 185\/30)*8).\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235171583 times -0.2?\nAnswer: -47034316.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/5700408 and 139\/1221516.\nAnswer: 17101224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 20 - 50*q**3 + 39*q**3 - 3*q**2 + 10*q**2 to c*q**2 + f + o*q + v*q**3 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*l + 15. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1540 - 2003?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 432719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(23\/(-92) + (-6)\/8). Find the second derivative of -73*f + 41*f**2 - f - 30*f**2 - 2*f**2 + 128*f**x wrt f.\nAnswer: 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 9 = 51. Suppose 30 = l - z. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6821789*h - 6821789*h - h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/19, 0.043, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 78254972 to the power of 1\/2, to the nearest integer?\nAnswer: 8846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*a + 1365 = 498 - 1900 - 1263 for a.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -15194*u. Let v(y) = -2*y. What is v(o(f))?\nAnswer: 30388*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (4 + (0 - -2 - (429 + -392))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 24024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -131.193 - 267.7\nAnswer: -398.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -93, -140, -187?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14 + 198080.\nAnswer: 198080.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.48126kg in nanograms?\nAnswer: 70481260000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*i = -167*i + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6661, 6699, 6765, 6859, 6981?\n\"Answer: 14*g**2 - 4*g + 6651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 127\/10? (a) -143 (b) -2\/3 (c) 0.2 (d) -0.07 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**42)*s*s*((s\/s**(-3\/8))\/s*s)\/s)\/(s\/(s*s*s**(2\/39))*s**(-11\/3)) assuming s is positive.\nAnswer: s**(-10891\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/4 + 461811*j + 16625115\/4 = 0. What is j?\nAnswer: -1847235, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 712*d**2 - 11*d + 21. List the prime factors of i(2).\nAnswer: 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 5:57 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 8*z + 7. Let x(r) = 3*r**2 + 1 - 7*r**2 - r**2 - 2*r**2. Let d be x(1). Give f(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.391114 nanometers to kilometers.\nAnswer: 0.000000000003391114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 51, 93, 141, 189?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*q + 186*q - 6 = 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w. Let s(a) = -50*a + 29357. What is s(f(y))?\nAnswer: -100*y + 29357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 192 = 202. Let b(g) = -1 - 3*g + 5 - 2. Give b(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + 4 + 0)*-5. Put -2, p, -3, 1 in increasing order.\nAnswer: -3, -2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 3:56 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3163 times -3?\nAnswer: 9489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 259533545?\nAnswer: 778600635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 349620, 349740, 349934, 350196, 350520?\n\"Answer: -c**3 + 43*c**2 - 2*c + 349580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*l + 303*l + 302*l - 931*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.0818491 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sooo when four letters picked without replacement from ososoosoosossosossss?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -859, 507, -3 in descending order.\nAnswer: 507, -3, -859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6121 + -2?\nAnswer: 6116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*c + 24 = 0, -3*y - 4*c + 22 = 2. Let a(l) = -y - 4 + 3 - l - 11*l. Is a(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311, -353, -435, -569, -767?\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 63091 in decreasing order.\nAnswer: 63091, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*w = 1, -3*w = 5*m - 6*w - 21. Let y(r) = -2*r**2 + 2*r + 2. Give y(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 2*h + 3. Let l be o(-1). Solve -5 = -m - 5*g, -4*m + l = -m + 2*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((29\/(-10))\/29)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -18*d + 35*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 - 1 - 1 + 5.\nAnswer: -6*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*t + 2*t + 10, -1 = -o + 2*t. Let d(u) = 3*u - 6*u + 2*u - 2. Let s be d(o). Do 1\/2 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 6:08 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + a + 187. Let y be v(0). Suppose 76 = 2*f + s, 0 = -5*f - s - 3*s + y. Suppose -f = -2*q - 1. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5769253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + (-16 - 1) + 15 - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4816403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 91*a - 346. Let o be d(-4). Let 0 - 1\/2*i**3 - 2*i**o - 2*i = 0. Calculate i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48303752149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a. Let d be 56050\/665 - (-2)\/(-7). Let y(n) = -84 + 257 - 87 - d - 2*n. Give c(y(i)).\nAnswer: 10*i - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(297)\/(sqrt(66)\/(sqrt(30)\/sqrt(5)))*5)**2.\nAnswer: -150*sqrt(3) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*o**2 + 741.\nAnswer: 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 360766 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 m = 1345 + -1345.03025. What is m rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 227150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000624117 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -5 (c) 94 (d) 3 (e) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-54)\/10))\/33*(-2)\/5*3.\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62308447?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = 2*c - 2*v, 2*c + 3*v + 18 = 0. Let u(a) = 2*a + 5. Let k(d) = 0 - 72*d - 60*d + 133*d + 4. Give c*k(x) + 2*u(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/((-190)\/(-40)))\/38.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 42 = 19*o. Let s = o + 10. Let b(r) = -6*r + 28. What is the tens digit of b(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 7. Let p be v(-10). Suppose -p*d + 248 = d. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**3 + 12*t**3 + 12*t**3 + 0*t + 0*t + t**3 + (4*t - 2*t - 4*t)*(4*t**2 - 3*t**2 - 3*t**2) - t**3 + 3*t**3 + 0*t**3.\nAnswer: 27*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3256942*u**3*z**3 - u**3*z - 99*u**2*z**3 - 380451482*z wrt z.\nAnswer: -19541652*u**3*z - 594*u**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9925, -9573, -9221?\n\"Answer: 352*h - 10277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15874021 - 42989021. What is w rounded to the nearest 100000?\nAnswer: -27100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3576175 divided by 58?\nAnswer: 3576175\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/319 + -962\/1595. Put o, 0.4, -1, 5 in decreasing order.\nAnswer: 5, 0.4, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 12:47 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5 = 3*p. Suppose -4*q = -2*z - 16, -3*q + 10 = q - p*z. Let x(d) = 5*d - 48. Let i be x(11). Solve -q*g + 5*f + 7 = -3, 3*g - 2*f - i = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4111 + 44868712230.\nAnswer: 44868708119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 16*t**2 - 5. Is f(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (5 - -10) - 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from rkvqd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-51)\/170*8\/(-6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1694*k**3 + 9*k - 1870. Let m(y) = y**3 + 9*y - 1. Let x(j) = a(j) - m(j). Differentiate x(s) wrt s.\nAnswer: 5079*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 25*j - 12. Let w be p(-8). Let v = w + 739. Suppose -5*c + 214 = 2*u, -5*u = -2*c - 66 - v. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113518 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105 by 6.\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 12. Suppose 5*a = 6*a - r. Suppose -j + a*j - 46 = 0. Is 23 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-63)\/35)\/((-1)\/15). Suppose -2*m - m + 3*a + 21 = 0, -5*a - o = -m. Find the third derivative of -18*s**m + 0*s**2 + 10*s**2 + 6*s**4 wrt s.\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s = 1. Let k be -3 - 1\/s - -9. Suppose -2*n + c = -0*n - 3, 3*n = -c + k. Solve -j = -n*j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4 + sqrt(75)*-2 - (2 + sqrt(75))*1) + -3 + 4)**2.\nAnswer: 1710*sqrt(3) + 6436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 27.055. Let j = -120760 + 120760.054971. Let i = f + j. What is i rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + y - 1. Let x(r) = 6*r**3 - 9*r**2 - r + 6. Let l(m) = t(m) - x(m). Let j(n) = -n**3 + n**2 - 1. Let c(g) = -5*j(g) + l(g). Calculate c(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/456512 and -73\/6114.\nAnswer: 1369536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*t = 82*t - 21. What is the common denominator of 2\/4*(-87)\/8 and -8*t\/(-28) - 1\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 961106527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 23. Is 2 a factor of 48\/2*8\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 + a**2 - 3*a**2 + 4*a**2 + a**2 + (2*a**2 - a + a)*(0 + 0 - 2) + 0*a**2 - 4*a**2 + a**2 + (2*a**2 - 4*a**2 + 0*a**2)*(2 + 2 - 2).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 - 46*o**2 + 3*o + 61. Give x(-23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/112 and 8136\/1764 - (-18)\/(-4).\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 39\/12) + 4\/16. Suppose -g + 4*m - 19 = 0, a*m = -3*m + 15. Let i(v) = -1 + g + 3 + 4 + 2*v. Calculate i(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 - x**2 - 4*x - 5. What is the units digit of o(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2848 + 6*z**3 - z**2 - 14*z**3 + 6*z**3 - 3*z.\nAnswer: -2*z**3 - z**2 - 3*z - 2848","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -836 + 903.4. Let v = m + -67. Let s = 225\/4 + -56. What is the third biggest value in -5, s, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**2\/2 + 1340*l + 140715\/2 = 0.\nAnswer: -477, -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 540 = 7*w. Let d = -51 - w. What are the prime factors of d?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 4*x + 15. Let n be m(6). Suppose -n - 3 = 2*c. Let d(p) = p**2 + 4*p + 7. Let a be d(c). Solve -8 = -a*g + 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*k + 5*i + 69, 5*k - 2*i - 120 = 0. Calculate the remainder when k is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, v: 2, c: 1}. What is prob of picking 2 v and 1 q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 192*u + 1. Let g(q) = 9*q**2. Calculate x(g(t)).\nAnswer: 1728*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2044 + 41?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218, 878, 1978, 3518, 5498, 7918?\nAnswer: 10778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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 the next term in -360, -1474, -3330, -5928?\nAnswer: -9268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, r: 1, m: 3, y: 1, s: 2}. Give prob of sequence yrsx.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4 - 14 + 3 + 7 - 3*w. Let v(g) be the first derivative of g**5\/40 + g**3\/3 - 1. Let k(o) be the third derivative of v(o). Determine k(h(n)).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - c + 2. Let p be ((-1)\/(-2))\/(c\/(-12)). List the prime factors of 2\/(-4)*(p - 19).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4171087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -3, -2, -1\/12, -0.04 in ascending order.\nAnswer: -3, -2, -1\/12, -0.04, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14893417 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 11, 391\/4, -0.04, 0.3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 12742305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -155, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322 and 393806?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-6) + 3\/(-9). Let t = 0 + -0.06. Let p = t - 0.34. What is the closest to v in 4, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87898 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3158297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(54\/4) - 8\/(-198)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**2. Let q(u) be the first derivative of -4*u**3\/3 - u**2\/2 + 12730. Let l be -8*1*(-2)\/(-4). Give l*q(t) + 5*g(t).\nAnswer: t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43142*o + 20930*o + 22213*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 5 + 5)*(-u + 0*u + 15*u)*(3*u + u - u).\nAnswer: -42*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 0 + 55\/28*b**8 + 0*b**7 + 0*b**3 + 1\/12*b**4 + 0*b**6 + b**2 + 0*b**5 + 85*b. Find the third derivative of v(a) wrt a.\nAnswer: 13200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1. Let s = 7.4 + 49.6. Let c = s + -57.5. Put n, 0.04, -3, c in descending order.\nAnswer: 0.04, c, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-216)\/(-22) - 12\/(-66). Let y(r) = r**2 - 5*r + 19*r - 2 - n*r. What is y(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3549 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (155 - 63 - 80) + (-1 - (0 + -1))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -28485 + 28453 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 749318123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000970728 rounded to seven decimal places?\nAnswer: 0.0000971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*h - 56*h - 1105 = -8*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-4)\/9*414\/552).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -1.3. Let g be (4 - 10)\/(2 - 3\/2). Let x be 8\/40 + g\/15. Which is the nearest to -1? (a) 0.3 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n + 348. Let i be n*(12\/9 - 1). Let m = -142 + 229. What is the highest common factor of i and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 77, 576, 1387, 2510, 3945, 5692?\n\"Answer: 156*y**2 + 31*y - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6300 or -6299?\nAnswer: -6299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 109, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 14) in base 12?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4267 divided by -55323?\nAnswer: 4267\/55323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 13283.112 months?\nAnswer: 1.106926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -2\/3*g**3 + 0*g + 0*g**2 + 3. Let p(i) = -2*i**2. What is y(p(m))?\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1936 - -1936.2. Let h = 20 - 22.6. Let x = 3 + h. Which is the third biggest value? (a) n (b) -1\/6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -7.2. Sort b, 1\/2, -2\/3 in descending order.\nAnswer: b, 1\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1))**(-1\/3)\/(y**(-1))**(-4))\/((y*y**(-1)*y*y)**(3\/19)*y*y*(y*y\/y**(-8))\/y*y**(-6)) assuming y is positive.\nAnswer: y**(-569\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1537040 divided by 4\nAnswer: 384260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b09 (base 15) in base 3?\nAnswer: -22001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*i + 8. Suppose 0 = 3*a + 3*c - 30, 0 = 2*a + 3*c - 10 - i. What is the least common multiple of a and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - q - 2. Let t(o) = 0*o + o - q - o + o. Let y be t(5). Solve y*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 483*i**2 + 12*i + 12. Let q be d(-1). Suppose q = 10*o + 2123. Which is greater: -1\/2 or o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1324 - 2?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 376 - 8. Suppose -4*x - 5*i = 201, -8*x = -6*x - 4*i + 94. Let g = x + d. Round g to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 21, 51, 2.164, -5?\nAnswer: 2.164","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -804 - -793 - (0 + 0 + 3 - 2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5063135 and 385.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) -6 (c) -2\/3 (d) 2\/13 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 485, -4, -29 in decreasing order.\nAnswer: 485, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1294, -2582, -3876, -5176?\n\"Answer: -3*f**2 - 1279*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 - -1) - (258 - 261) - 8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-1 + -2)) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11112404 + -332?\nAnswer: 11112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164500 and 2800.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -30*-20*1\/3. Let i = w + -134. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u. Let q(y) = 232 - 598 + y + y. What is q(i(m))?\nAnswer: 2*m - 366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9477319985?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 484 and 46128.\nAnswer: 5581488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/14)\/((-12)\/(-126)) - -94*4\/16\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -231*y + 547239 + 1288749. Is 7946 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 4*u - 22, 21 = 4*u + 5 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-6))\/(0 - (-8)\/1128). Let a = v + 97. Calculate the highest common divisor of 15 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(108)\/sqrt(729)))\/(sqrt(150)*-3 - sqrt(12)\/(sqrt(10)\/sqrt(5))).\nAnswer: -9*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-28)\/(-10))\/(-2) - -1. Let p be ((-6)\/(-4))\/(3\/(-8)). Let l be p\/22 + 224\/264. Which is bigger: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*y + 3924 = -177*y. What is the lowest common multiple of 6 and y?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/5 + 2 - (-6804)\/(-135)) + (-106)\/(-530)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -8. Suppose -5*p + 10 + 4 = 9. Which is the third smallest value? (a) 2\/9 (b) p (c) i (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 660077*i - 660045*i + 352 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2955 + 2951. What is the nearest to 14 in i, 0.31, -1, 0.1?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.088 - -7. Let v = q - 0.502. Let g = 0.49 - v. What is g rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2. Let o(q) = q**2 - 9*q + 16. Let r be o(7). Let u(z) = -z**r + 4*z**2 + 8*z**2. Calculate u(x(p)).\nAnswer: 44*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -172, -55, 364, 1193?\nAnswer: 2540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 29008816 = 2*r - 2191190, a - 7800012 = -4*r. What is a rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18869506 or 18869505?\nAnswer: 18869505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 141 - 39. What is the remainder when 2\/8 - k\/4 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + 49. Suppose -2*w - 4 = -4*w + q*k, -20 = -5*w - 5*k. Suppose w*s = 101 - 23. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*((-3)\/2 + 1). List the prime factors of (-76)\/(-6) + (-2)\/b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -249\/10, 1, 0, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3108*z + 3101*z - 15*z**2 + 11 - 4. Let b(f) = -7*f**2 - 3*f + 3. What is 7*b(t) - 3*s(t)?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -21\/5, 52, -2, 4?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7129 is divided by 162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 14. Let l(y) = 13*y**2 + 15*y**2 - 1 + 9*y**2 - 42*y**2. Give l(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - -26. Find the first derivative of -11*q**3 - 11309*q**2 - t + 11309*q**2 wrt q.\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*h**3 - 99*h**3 + 21*h**3 + 105*h - 105*h + 12*h**3.\nAnswer: -19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymmmsymyiym. Give prob of picking 1 i, 1 s, and 1 m.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000015025237 to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -141, 2\/31, 0.8, -1, -20, -5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(243))**2*-2.\nAnswer: -1976 - 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 83 + 10*q**3 - 6*q**3 - 54 to m*q + b + f*q**3 + l*q**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -64*m + 261. Let x(f) be the second derivative of -4*f**2 + 0 - 2\/3*f**3 + 1\/5*f**5 - 4*f + 2\/3*f**m. Factor x(g).\nAnswer: 4*(g - 1)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**2 + 2*b**3 - 3*b**3 - 2*b + b + 5*b**3 as q*b + c*b**2 + w*b**3 + y and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -6*j + 29 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*l**3 + 7*l**3 + 15*l**3 - 93*l**3.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 16. Let g be (4 + 0)*(-8)\/i. Determine b, given that -4\/3*b - 2\/3 - 2\/3*b**g = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + u - 3)*(u**4 - 2*u**2 - 22*u**3 + 22*u**3) + (4 + 4 - 3)*(-4*u**5 + 126 - 126).\nAnswer: -19*u**5 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**2 + 28*t + 56. Is 4 a factor of x(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5942541 bigger than -5942531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/18 and 19\/72068.\nAnswer: 648612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -14*s - 9*s - 13*s - 10*s + 56*s. Let h(j) be the third derivative of j**5\/30 - j**2. Give r(h(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -971 divided by 1722280.\nAnswer: -971\/1722280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2344110 - 241?\nAnswer: -2344351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21634.9866 milliseconds to days.\nAnswer: 0.0002504049375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -769940 rounded to the nearest ten thousand?\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*d - 14 - 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -72811*t + 8. Let a be d(1). Let f = -40145 - a. Suppose -9*w = 2499 - f. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -34, -21, 8, 59, 138, 251, 404?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31384 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 168.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -630\/31919?\nAnswer: -630\/31919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, j: 9}. Give prob of picking 1 y and 1 j.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2282*k + 2283*k + 4 - 7.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zll when three letters picked without replacement from {z: 1, l: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (32\/(-29) + 3)*-3. Let j = t + 3785\/232. What is the common denominator of j and -19\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521 is divided by 43?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-290)\/(-1064) + 2\/(-8). Let m be 1 - (-1)\/(-2) - 7\/(-14). Which is smaller: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/5648 at least as big as -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**2 + 2*o - 7. Let i(r) be the second derivative of -r**4\/12 + r**2\/2 - 15*r. Suppose 4*t + 18 = -2*j, 2 = -4*j + 6. Give t*i(m) - d(m).\nAnswer: m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 15885*b**2 - 16822215*b - 5938241895.\nAnswer: -5*(b + 1059)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -6. Let x = 374 - 370.97. Let z = 2.83 - x. What is the third biggest value in z, -4, s, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -30*z - 444 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*k - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(-8))\/((-10)\/6))\/(6\/1).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 4. Let i be w(-2). Put -4, i, 3, 4 in increasing order.\nAnswer: -4, i, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -2)\/(2\/(-62)). Let m = i + -22. Let y be 48\/(-10) - m\/45. Which is the second biggest value? (a) -4\/21 (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42033237?\nAnswer: 3, 14011079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 714?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.97 and -0.09018057231.\nAnswer: 1.87981942769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 - 21*d**2 + 14. Let s be v(7). Which is smaller: s or -326?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*s + 12*t = 325*s + 11*t - 59, 0 = -5*s - 2*t - 73 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.284961168 + 1444.294896168. Let j = 1444 - a. Let m = 0.01 + j. What is m rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8521 (base 11) to base 13.\nAnswer: -5195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-2)\/(-230)) + -1. Let h = d + -77. Suppose g + 13 = 2*g. Calculate the remainder when h is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 7:19 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 = -3. Suppose -3*q - o = -181, q = c*o - 0*o + 65. Let l(k) = k**3 + 8*k**2 + 5*k + 2. What is the remainder when q is divided by l(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 45*z**2 - 446*z - 381. Determine v(-31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j - 7 + 0*j + 2*j - 3*j - 2*j**2. Let c(y) = 37*y - 31*y + 2*y**2 + 3 + 5. Calculate 5*c(x) + 6*o(x).\nAnswer: -2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 543*j**2 + 12002*j - 21840.\nAnswer: (j - 520)*(j - 21)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -285 - -662. Let x be 5 - 9\/(819\/c). Find i such that -x*i - 6\/7*i**4 + 4\/7*i**2 + 2\/7 + 2\/7*i**5 + 4\/7*i**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 131, 49, -93, -301, -581?\n\"Answer: -y**3 - 24*y**2 - 3*y + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, m: 2, y: 1, g: 3, c: 4}. What is prob of picking 2 m and 1 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-32)\/(-6))*36\/81.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -52. What is the least common multiple of 16 and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/2*(-384)\/(-1680). What is the closest to 0.2 in -6, o, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 65 = 2*b - 272, 4*v - 2252*b + 2255*b + 265 = 0 for v.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 2518*o**5\/5 + 2625*o - 2057. What is the derivative of a(f) wrt f?\nAnswer: 10072*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(52\/(-377)))\/(2\/22). Let h = g - 317. Let p = 4.8 + 0.2. What is the closest to h in -0.1, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.037 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75*g + 9*g**3 + 75*g + (109*g - 169*g - 185*g - 2)*(-4*g**2 + g**2 + 2*g**2).\nAnswer: 254*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 10679, 4, -6, 0, 2 in increasing order.\nAnswer: -6, 0, 2, 4, 10679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 23, -2\/7, 4\/7.\nAnswer: -2, -2\/7, 4\/7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052 is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39 and -1.2.\nAnswer: 46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.943 + 0.817. Round d to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*v + 34, -5*v + 0*r - 4*r + 13 = 0. Let n = -2 + v. Solve 2*t = n*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -7*i**5\/5 - 25*i**4 - 203*i**3\/3 - 67*i**2 - 24*i - 44. Factor x(u).\nAnswer: -(u + 1)**2*(u + 12)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1909 to three decimal places.\nAnswer: 0.191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -579 + 639. What is the smallest common multiple of 36 and a?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 + 9*c + 10. Let d be u(-7). Let h = d - 30. What is the highest common factor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -184 * 1.2.\nAnswer: -220.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000358800768 rounded to 6 dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i - i - 7*i + 1348*i**2 + 8*i to the form q*i + x*i**2 + v and give x.\nAnswer: 1348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**2 + s**2 + 4*s**2. Let m(c) be the second derivative of -c**3\/6 + 3*c. What is m(k(w))?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 8*t + 8. Let s be y(-10). Let z be -3 + ((-4)\/s)\/((-4)\/(-36)). Solve z = 2*k + 4 - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = o - 0 - 3, -4*m + 19 = 3*o. Suppose 0 = -o*i - 15, d + 59 = 3*d - i. What are the prime factors of (-8)\/d - 506\/(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111231 + -111231. Find o, given that t - 8\/7*o**3 - 2\/7*o + o**2 + 3\/7*o**4 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 11*p**2 - p - 21. Let c be q(11). Let m be 9\/24 + (-52)\/c. Let z(k) = 5*k + 4. Calculate z(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2341*c**2 - 4671*c**2 - 108*c**3 + 2330*c**2.\nAnswer: -108*c**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-2 + 5 + -2 + (3 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*j - 2*l + 1, -l = 2*j - 6. Solve 1 = d - j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -44. Let b(f) be the first derivative of f**2\/2 - f - 2. Let h(z) = 3 + 5 - 4 - 4*z. Give v*h(m) - 2*b(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7650270 divided by -510018\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1\/8, 0, 267\/190?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/4 + 26\/4. Suppose -5*r + 2 = 5*c - 43, 0 = -v*c + 4*r. Is (31 - 33)*(-2)\/c*379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1542 and 71\/1338.\nAnswer: 343866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 - 2436*y**3 + 374516*y**2 - 1106556*y + 734472.\nAnswer: 4*(y - 303)**2*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 38*b - 207. Calculate a(27).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, i: 3}. What is prob of picking 2 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 387926*b + 775860.\nAnswer: -2*(b - 2)*(b + 193965)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q + 20. Let g(y) = -2*y**2 - 6*y. Let f be g(-3). Let x be j(f). What is the greatest common factor of 80 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**6\/1800 + b**5\/300 + b**4\/120 + 2*b**3\/3 - 2*b**2. Let v(k) be the first derivative of d(k). Suppose v(i) = 0. What is i?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*k - 28 = -6*t, -5*t - 3*k = -27. Calculate the remainder when t is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 19. Let b = -78 + 75. Sort b, m, 0.\nAnswer: b, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 7:10 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*b - 6 = -v, 9 = v - b. Let a be (11 - 2)*2\/v. What is the second derivative of a*l**2 + 3*l + 5*l - 6*l wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 6. Let q(c) = -c**2 + 6*c + 8. Let f be q(x). Let u be (f - 2)*(3 - 5). Solve -3 = -u*n + n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f - 20. Let u be m(-10). Suppose 8*q + 12 = u*q. Suppose 0 = -i + 5*r + 1, -4*r + 3*r + 13 = 2*i. Are i and q unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5588 = 5*p + 4*n + 823, 0 = 4*p + 5*n - 3803. What is the highest common factor of 165 and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/24)\/(2\/8). Suppose -o = x*o - 12. Which is smaller: 13\/7 or o?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -666488 or -666489?\nAnswer: -666489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9693148, 9693097, 9693012, 9692893, 9692740, 9692553, 9692332?\nAnswer: 9692077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8*h - h - 5*h)*(-9 + 4 + 2)*(-3 + 0 + 0 + (2 - 2 + 2)*(3 - 3 - 1) - 1 + 0 + 3) + 10*h - 16*h - 45*h.\nAnswer: -33*h + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96 - -468.4.\nAnswer: 372.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -14. Let l(g) = -g**3 - 9*g**2 - 11*g - 1. Let t be l(j). Solve -s + 2 = 2*r - 0*r, 3*r + t = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*a - 6 + 82, 0 = 4*p - 4*a - 152. Suppose h + 2*h - 81 = 0. Let s = p - h. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.2569159 to 3 dps.\nAnswer: 5.257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 17 + 19 = 0. Let v be (-4)\/(-4) + -1*n\/2. Factor 0 - v*y**2 + 3\/2*y.\nAnswer: -3*y*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in years?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*k**4\/7 - 604*k**3\/7 + 1684*k**2\/7 - 264*k\/7 = 0. Calculate k.\nAnswer: 0, 1\/6, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 take away -29?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 387*w**3 + 14371*w - 81981295 wrt w.\nAnswer: 1161*w**2 + 14371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 68 + 3422*p - 8989*p - 34.\nAnswer: -5567*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38161547?\nAnswer: 179, 213193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -18 - 6*h - 24 + 42. Let w(d) = 11*d + 1. Give -5*b(r) - 3*w(r).\nAnswer: -3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1866 = -2*o + 6102. List the prime factors of o.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4291 and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.52122mg to nanograms.\nAnswer: 44521220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80198 (base 10) to base 14.\nAnswer: -21326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227947?\nAnswer: 227947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3635840 a multiple of 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 790578?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*i**3 - 4*i**2 - 147.\nAnswer: 156*i**2 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 + 0*y**2 + 2*y - 4*y + 2*y**2 + 5. Let i(v) = 6*v**2 - v + 4. Let s(t) = 4*g(t) - 5*i(t). Find the second derivative of s(o) wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 27*o**2 - 16*o - 305. Determine d(26).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*o**5 - 16*f**3*o + 363*f**2*o**5 - 5*o wrt o?\nAnswer: -40*f**3*o**3 + 7260*f**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -313756*n**6 + 80436*n**2?\nAnswer: -37650720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(2*s**3 + 1 - 1) + 3*s**3 - 3*s**3 + s**3 + (-s**2 - s**2 + 0*s**2)*(8*s - 20*s - 27*s) + 5*s**3 + s**3 - 3*s**3.\nAnswer: 78*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -18. Is -0.01 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w + 17. What is x(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033384748 to the power of 1\/3, to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 4*r**2 - 2*r - 4. What is t(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33222 greater than or equal to 33224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142.704 + 0.296. Let q = w + -147. Let j = 0.3 - 1.3. What is the nearest to j in 3, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(176) + -1*sqrt(176))*-5 + sqrt(176))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 317*o**2 + 4283*o - 85. What is g(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upvm when four letters picked without replacement from pmvummmmpvzmmp.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-346)\/(-8) + 3\/12 and 2\/(-3) - 2\/(180\/(-537)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 4. Suppose -4*v + 9*v = 20. Let w(d) = -d - 1. Let q(a) = v*w(a) + l(a). Let c(p) = -p. What is q(c(o))?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, z: 2, s: 4}. Give prob of sequence sez.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/4325659?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12 - (2 + -2)*1. Let b = 9 + -6. Let d be 2 + -3 + 1 + b. What is the greatest common factor of d and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - ((-225)\/(-21))\/(-5). Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192616, -192670, -192764, -192916, -193144?\nAnswer: -193466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**3\/(m\/m**9)*(m\/(m*m\/(m*m**(-1\/9)*m)))\/(m*m**5*m*m) assuming m is positive.\nAnswer: m**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*z + 106 - 42 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -896.17349 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 13*g - 1. Let j be y(3). Suppose -5 = j*d - 39*d. Let x(u) = 3*u - 112 + 112 - d*u. Let m(s) = 36*s. Calculate x(m(q)).\nAnswer: -72*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 4\/(-6) - (-550)\/66. Suppose 17 = 2*t + w. Suppose 53 = t*s - 3*c, 38 = 3*s - 6*c + 2*c. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 333817 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2425 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/1118?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 12:51 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + 15 + (5 - 26)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 8*a**2 - 11*a + 7. List the prime factors of v(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - -6)\/(-5)*(-11)\/12. Is k at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/3602 and 10\/3.\nAnswer: 10806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*k = -720, -k + 966 = 9*r - 13*r. Let g = 248 + r. Put 4, g, -15 in decreasing order.\nAnswer: g, 4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 288579*x**3 - 123*x**2 - 174959962*x wrt x.\nAnswer: 1731474*x - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -31721, 61, -4, 1, -1 in decreasing order.\nAnswer: 61, 1, -1, -4, -5, -31721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 101d0 (base 14) to base 9\nAnswer: 58184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 24, -2 in increasing order.\nAnswer: -2, 1, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/4 + 2699241*i**2\/2 - 2428472029467*i\/4 - 36431939237805.\nAnswer: -3*(i - 899777)**2*(i + 60)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 18*h**3 - h**2. Let f be r(1). Sort -2\/19, f, 1.\nAnswer: -2\/19, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3963291 divided by 1321097.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -801 > -901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -a11 (base 16) in base 14?\nAnswer: -d21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 7 + 0 + 3*m**3 - 4 as w*m + s*m**2 + k*m**3 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -448 or 6.959?\nAnswer: -448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and (174\/(-232))\/(65\/(-32) - -2).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.771, 2\/5, 2\/11, 33.3, 3\/2, -2\/7, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 122, 220, 312, 392, 454, 492?\n\"Answer: -y**3 + 3*y**2 + 96*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, 5, 15, -1, -2, 2 in decreasing order.\nAnswer: 77, 15, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -623*u + 154*u + 2*u**3 + 167*u + 161*u + 141*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -5 + 12 + 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*-1*(-4)\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 69591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 144629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 5.68. Let s = -14.68 + a. Let i = s - -14.99999948. Round i to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 228, 461, 700, 945?\n\"Answer: 3*y**2 + 224*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 318 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssbssssbs. What is prob of picking 3 s?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*r + 61*r + u = 1, 5*r - 5*u - 5 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5081 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = 0, -3*q + 6 = 4*u - 42. Suppose 4*c = q, 2*v + c + 11 - 6 = 0. Suppose b - j - 6 = 0, 4*b - 2*j - 24 = j. Sort v, b, -5 in ascending order.\nAnswer: -5, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 123649*k - 64787 with respect to k.\nAnswer: 123649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1576237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 984 a factor of 183577992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -324290, -649365, -974440?\n\"Answer: -325075*i + 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(60\/8))\/(33\/(-99)). Let l be 2 - -6 - (-2 - -2). Suppose 4*y = -12 - l. Put i, y, 3 in descending order.\nAnswer: 3, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - 2*sqrt(25)*5)\/(sqrt(125)*1).\nAnswer: -9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88*-4.6.\nAnswer: -404.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - (-3 + -2))*(-2)\/(-14). Which is the second biggest value? (a) 0.5 (b) o (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 205386674 to the nearest 1000000.\nAnswer: 205000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 11:45 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20052*n*r**2*x**3 - 629*n*r**2*x + 2*r**2 + 1948*r*x**2 + 1928*r + x**3 wrt n.\nAnswer: -20052*r**2*x**3 - 629*r**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.2 - 0.2. Let x = y + -7.4. Which is the second biggest value? (a) 0.1 (b) x (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -418\/15 + 28. Which is greater: -3\/20 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 7*c**2 + 10*c - 2. Let o be h(6). Differentiate -o*m**3 + 3*m**2 + 71*m**3 - 3*m**2 + 8 with respect to m.\nAnswer: -69*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5\/4*m**4 - 5\/4*m**2 - 3\/4*m**3 - 1\/4*m**5 + 0 = 0. What is m?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 959 - 570. Let p = -77 + k. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -5*c**2\/2 + 17*c - 14. Let g be b(3). Suppose -5 + 1 = -w - 5*t, 2*w + g*t = 8. Solve 4*z - w = -0*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 642 and 1368102.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 918950744 to the nearest integer?\nAnswer: 30314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 374846 - -1?\nAnswer: 374847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, q: 4, z: 4}. What is prob of picking 3 w and 1 z?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 2\/5 (b) -3 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-37)\/4 - (-2)\/8. Let q be 6\/9*v\/(-2). Solve x = 4*r - 1, 2*x - 3*x + q*r = 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -3169*j**3\/2 - 3*j + 40. Let r(p) = p. Calculate r(i(u)).\nAnswer: -9507*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3069.905 + -3061. Let b = a - 8.9044063. Round b to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -34*n - 5. Let p be a(-3). Let s = p + -93. Find the third derivative of 162*i**s + 40*i**6 + 9*i**2 - 162*i**4 wrt i.\nAnswer: 4800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117634596.\nAnswer: 2, 3, 61, 271, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9999*x**2 - 13*x + 22. Let l be y(11). What is l rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*w = -2*m + 11, -2*m - 2*w + 2 = 0. Solve -4*p - 4*y - 32 = 0, -m*p - 2*y = -0*p + 26 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-2)*(6\/(-7))\/((-48)\/(-42)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*i - 3, 0 = 3*g + i - 5. Suppose -3*a = g*a. Solve x + 3*r - 15 = a, 3*x - x = 5*r - 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 890 and 10990165.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -31, -67, -127, -217?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-738)\/(-935) - (-1 - 36\/(-20)). Are 26 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 329.8 times 0.1\nAnswer: 32.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1373 (base 10) to base 4.\nAnswer: -111131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -166*i**3 + 56 wrt i?\nAnswer: -498*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.19571708\nAnswer: -0.058715124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4670 - -20?\nAnswer: 4710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(-1\/2)*p))\/(p\/(p*p*(p*p**3)\/p))*(p**0)**47)\/((p**(1\/4))**(-49))**(-25) assuming p is positive.\nAnswer: p**(-1215\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -839 - 631. Suppose u = n + 5*k + 98, -2*n - 3*k = -798. What are the prime factors of n?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 127168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -270016\/9 + 30031. Let q = -212\/9 + h. What is the common denominator of q and (0 - -25)*(-1)\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 20. Let y(a) = 7*a**2 - 2. Let v(u) = 22*u**2 - 7. Let d(f) = j*y(f) + 2*v(f). Let h(c) = 6*c**2. What is h(d(z))?\nAnswer: 150*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 5, -8, -3, 43, 4 in descending order.\nAnswer: 76, 43, 5, 4, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Does 683 divide 236673160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Let h = -70 - -205\/3. Let f = 93 + -283\/3. Let p = 1\/6 - f. What is the nearest to -0.1 in 0.2, p, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 5*o + 3. Suppose -1 + 6 = i. Let z be j(i). Let h = 0 + 0. Solve g + 3*f - 13 = h, -z*f + 4 = 5*g - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(800))\/sqrt(10) - (((sqrt(160)\/sqrt(4) - sqrt(40)) + sqrt(40))\/sqrt(8) + -4))**2*6*-3.\nAnswer: -4698 - 1008*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138205184 to the nearest integer?\nAnswer: 11756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**2 + 23995*k + 4455310 = 0?\nAnswer: -179, 4978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 48.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**3 - 105*h + 11. Let r(g) = -g**3 + 21*g - 2. Let k(z) = -2*d(z) - 11*r(z). What is the second derivative of k(s) wrt s?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 193917\/(-148)*48\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.839 + 1.239. Which is the biggest value? (a) 3 (b) f (c) -2\/3 (d) -2\/795\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3*3\/(-27)). Solve -4*j + t = 23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -0.2. Let b = -72 - -794\/11. Put b, -1, w in ascending order.\nAnswer: -1, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 852655 and 192535?\nAnswer: 5968585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/16 in 14, -5\/22, -2?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 3)*(-j + 1 + 0*j + 3*j + (-19 + 19 - 6*j)*(-2 - 3 + 6)) as u*j + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00551091 to five dps.\nAnswer: -0.00551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**6\/40 + j**5\/15 + 3*j**2. Let w(x) = -2*x**3 + 3*x**2. Let o = 173 + -231. Let i = o - -62. What is i*w(p) - 3*y(p)?\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 557*g + 561*g - 1116*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 560601448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 2 + 2)*(1 + 0 - 3) - 5 - 7 + 14)*(h - h - 2*h**2)*(-4*h**2 - 32 + 32) to the form r*h**3 + o*h**2 + y*h**4 + k + d*h and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 221 - 123. Calculate the remainder when t is divided by (65 + -61)\/(2\/10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z - 2*a - 27, 4*z - 36 = a. Let p be -4 - (-16)\/(-4 + 2). Calculate the lowest common multiple of (p\/4)\/(3\/(-4)) and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 19230?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.38 in -0.425, 5, 12?\nAnswer: -0.425","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 6:10 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6793 + 6795. Solve -20 = p*z - 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/17893224 and -127\/28620?\nAnswer: 89466120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2106 - 8769802*v**4 - 2*v**3 + 8769826*v**4 - 5*v**3 wrt v?\nAnswer: 96*v**3 - 21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -19\/5 (c) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtbbtbbbwwbbwddbdww. Give prob of sequence ddwd.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -3 (c) 0 (d) 0.5 (e) 5 (f) 2 (g) 2\/329\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3072999 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -39)\/(13\/13). Let k = s - -41. Suppose x + 37 = 5*i, -k*x = -2*i - 0*i + 10. Solve 5*h + i = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1261 + -4?\nAnswer: -1265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 20 = 2*h. Suppose 3*q + 3*v = -27, -4*q + 21 = -5*q - 4*v. Which is the nearest to 3? (a) 0.4 (b) q (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**7\/21 - 19*m**4\/24 - 88*m**3\/3 - 16. Let f(k) be the third derivative of v(k). Find the first derivative of f(s) wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28150*r = -28498*r + 10788 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5146)\/(-651) - 4*(-4)\/168?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44990944 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 3:39 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2338528*c**2 + 95205 wrt c?\nAnswer: 4677056*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + -22250135?\nAnswer: -22250154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*s - 22, 2*s + 4*d - 4 = -0*s. Let g = 4 + s. Suppose 3*m - m - 24 = g. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5645 = 15*s - 4435. Is 48 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - n + 10. Let g be r(7). What is the first derivative of -101*p - 6 + 4*p**2 + g*p wrt p?\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3004 - 1704. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 2268*o - 351130.\nAnswer: -2*(o - 949)*(o - 185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16043843 is divided by 294.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/((6\/(-4))\/1). Let a be (1 - h\/(-6))*3. Let w(v) = 27*v - 1. What is the remainder when w(a) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 8:10 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a766 + -2?\nAnswer: 5a764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 109*w**2 + 27*w**2 + 87*w**2 in the form u*w + t*w**2 + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*p - 8. Suppose 4*b + p = -d + 12, 0 = 4*b + 4*d - 20. Solve -5*f = 2*j + b*j - 6, -10 = -2*j + f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8 - (-38)\/5)\/(4\/(-10)) - -3. Which is smaller: 123\/23 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*t + 4*t**2 + 4*t**3 + 65*t wrt t?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 38 = t, q + 10 - 46 = 5*t. Let j(c) = -9*c + c**3 + c**3 - 10*c**2 - 17 - c**3. Let h be j(q). Solve 2*i - h = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, q: 2, m: 3, v: 2, x: 3}. What is prob of sequence mp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -10*f**2 - 170*f + 4. Determine a(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -263777, -263781, -263785, -263789, -263793, -263797?\n\"Answer: -4*i - 263773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ittt when four letters picked without replacement from ttiitii?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -132401535 - 13759\nAnswer: -132415294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26156?\nAnswer: 2, 13, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 541, -37, 1\/4?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0214 + 4.9786. Suppose 3*y - 10 - 32 = -3*b, -2*y - 42 = -5*b. Let r be (12\/135)\/((-4)\/b). What is the second smallest value in j, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 4 = 3*b, 2*b + 117 - 115 = -4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-8)*1\/1. Suppose 0 = 4*a - d + 115, -5*a - 2*d - 16 = 144. Let z be (-1)\/3 - 10\/a. Do z and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202120222323 - -13?\nAnswer: 202120223002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40 and 5.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -13*h**2 - 5*h - 9. Let c(o) = 3*o**2 + o + 2. Let n(j) = -18*c(j) - 4*w(j). Suppose n(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 13. What is the smallest value in 1, 3, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a*a\/a**4*a*a*a)**8*(a\/a**2)\/(((a\/((a\/((a**(-1\/7)*a)\/a*a))\/a))\/a)\/a)*(a**1)**(33\/4) assuming a is positive.\nAnswer: a**(-241\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 v when three letters picked without replacement from vssssssssssv.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-999)\/108 + 13)\/(-11 - 1). Which is the second smallest value? (a) 5 (b) 2\/13 (c) 0.6 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111111 - -12?\nAnswer: 111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -67*p**3 - 6*p**2 - 2*p - 9. Let f(w) = -w**3 - w**2 - w - 1. Let s(a) = 6*f(a) - g(a). What is the second derivative of s(o) wrt o?\nAnswer: 366*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**2\/19 + 1105912*w\/19 - 152880168968\/19 = 0.\nAnswer: 276478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1443a613 + 4?\nAnswer: 1443a617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-6 + -2 + 3)) + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 9*n**2 - 62*n - 12. Let u be s(5). Let b = 0 - 0. Let w be b*2\/4 + 14. Calculate the greatest common factor of w and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9800 - 9791. What is the smallest value in a, -0.11, -1\/41?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f - 1. Let u = -31 - -43. What is the units digit of b(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626681 is divided by 2161?\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**6*u)\/u*u**(-5)\/u)**(5\/3)\/(u\/u**(1\/5)*u*u**(4\/9)*(u**(-1))**(-24)) assuming u is positive.\nAnswer: u**(-1106\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - p - 1. Let f(w) = -5*w**2 - 5*w. Let s(j) = f(j) - 2*t(j). Calculate s(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 + -2. Let f be (-1)\/(-6) + (2 - -1). Let t = f - 41\/12. Which is the nearest to t? (a) 0 (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2567483 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 66, 26, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 4. Suppose -3*o - w = -2*o - 5, -x*o + 5*w + 55 = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7337 = 247*m + 6*m for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2130 + 3?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -4198.5352 to the nearest ten.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Round 2.07 to one decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3165 and 45.\nAnswer: 9495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/15 (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 933.8302 years?\nAnswer: 93.38302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from {a: 1, s: 1, c: 1, e: 3, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2161173 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 11*c**2 - 1431*c + 9600. Calculate b(123).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 217, 438, 663, 892, 1125, 1362?\n\"Answer: 2*v**2 + 215*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -11*r + 2285. Let q be l(0). Suppose -17*i + 2611 + q = 0. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - t)*(5*t + 5*t - 6*t)*(0 + 4 + 3).\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -872727, -1745709, -2618691, -3491673, -4364655?\nAnswer: -5237637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = 2*u - 39, -u - 6 = -271*n + 269*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, p: 3}. Give prob of picking 3 p and 1 y.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 373*i - 6711. Let f be w(18). Let v(m) be the first derivative of 6\/7*m - 1\/7*m**f + 13 + 3\/14*m**2. Suppose v(a) = 0. What is a?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 4*i**2 + 0*i**3 + 0 + 0*i**4 - 1\/30*i**5 + 0*i. Let n(z) = 2*z. Calculate o(n(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/4*100\/175. Find the third derivative of 28*d**v + 79135*d - 79130*d - 3*d**5 + 3*d**4 + 7*d**4 wrt d.\nAnswer: -180*d**2 + 240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4415*n**3 - 591*n**3 - 1907*n**3 - 1908*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - -6)\/(-3 + 1). Suppose j = 2*q + q. Suppose -3*m + 0*m + 9 = q. Solve 2*g = -m*c + 17, -c + 8 = 3*g - 0*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04244 + -0.061. What is x rounded to 3 decimal places?\nAnswer: -0.103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 8.911771404.\nAnswer: 9.911771404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + 3*sqrt(84)*4 - (sqrt(84) - (sqrt(84) + sqrt(84) + 1*(2*sqrt(84) + sqrt(84)))))\/(3*2*sqrt(144)\/sqrt(12)*-5).\nAnswer: -17*sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 8. Let j be o(-6). Suppose j*c = c + 1. Let i(y) = -1 + 0 - c + 4*y**2. Let n(d) = -17*d**2 - d + 9. Give -9*i(z) - 2*n(z).\nAnswer: -2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**3*x**3 - 2*b**3*x**2 - 8*b**3 - 2627*b**2*x - 15779*x**3 wrt x?\nAnswer: 24*b**3 - 94674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 232*v. Let c(d) = 102*d - 195*d + 94*d. Give c(f(i)).\nAnswer: 232*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 50829, -4, -8\/3, 5, 3.\nAnswer: -4, -8\/3, 1\/6, 3, 5, 50829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1358736 and -0.3?\nAnswer: -407620.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*x**2\/3 + 1205405*x\/3 - 344402\/3.\nAnswer: (x + 172201)*(7*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.2 (b) -4 (c) -1\/2 (d) -3\/1729 (e) 9 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (1\/(-2))\/(11\/(-22))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, -0.2, -31\/2, -2, -5, -2\/5, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 4)\/(((-33)\/(-192))\/11). What is the greatest common divisor of p and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.125, -0.3, -4, -6, -0.8, -1\/23?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5995520 and 1428480?\nAnswer: 5120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 15 (c) -681\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + (-7 - -10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0447 + 101\nAnswer: 100.9553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 376 and -46 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 853972641?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -362503 + 2900039\/8. Let -5\/2 + 1\/2*q - 1\/8*q**4 + 1\/4*q**3 + o*q**2 = 0. What is q?\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*j + 4*h = 14, -j + 5*h - 13 = 0. Suppose -2*r - j*r = -32. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -876*a + 2027. Let m(c) = 909*c - 2027. Let n(l) = -6*m(l) - 5*u(l). Differentiate n(w) with respect to w.\nAnswer: -1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 44595684*d**2 - 13356*d + 1 = 0.\nAnswer: 1\/6678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 8352?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/3 + (-602)\/2058 + (-12)\/294?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -26*y + 1. Let c be b(-1). Solve 5*o + 24 = k, -8 = -4*o + k - c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/3, 5, -2\/5, -1\/6 in descending order.\nAnswer: 5, 1\/3, -1\/6, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*v - 1067 = -134 + 292 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -694, -693, -692, -691, -690, -689?\nAnswer: -688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 33 = 183. Suppose -14*a - 6150 = -39*a - 16*a. What is the greatest common factor of a and t?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**5 - 3445788*m**4 + 13783012*m**3 + 65469852*m**2 - 158505608*m + 82698528 = 0.\nAnswer: -4, 1, 6, 861443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3024 = 3991*x - 3865*x for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5123*v + 383. Let k(p) = 15368*p - 1085. Calculate 17*h(i) + 6*k(i).\nAnswer: 5117*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 984\/7 - (-40)\/(-70). Suppose 0 = -0*y + y - s. Calculate the highest common divisor of 20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32184127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 35483?\nAnswer: 35501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30273 * -1261.\nAnswer: 38174253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 78839887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.6607*1.5.\nAnswer: -5.49105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 87207030907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 + 0.1. Let s = 9.01 - z. Let x = s + -9. What is the closest to -1 in 0.3, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -435, -456, -483, -516, -555, -600?\n\"Answer: -3*f**2 - 12*f - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64075, -64073, -64071?\nAnswer: -64069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3\/19, -0.2, 0.1, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 183560 divided by 91780\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95 + 94)*(2\/4)\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k + 2. Let l be t(3). Let c(q) = -5*q**2 - 3*q - 3. Let y(x) = 11*x**2 + 7*x + 7. Let a(p) = l*c(p) - 3*y(p). What is b in a(b) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n\/(n**(-8)\/n))\/n)*n*n)\/(n\/n**(2\/7)))\/(n**(1\/4)*n**7\/n)*(n\/(n\/(n\/n**2))*n*n**(5\/6)\/n*n)**(6\/7) assuming n is positive.\nAnswer: n**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 8:03 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p = -6*b, -267*p + 35 = -b - 262*p for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4\/3 + 120*s**3 + 476*s**2 - 202072*s\/3 + 550602 = 0. What is s?\nAnswer: -27, 13, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25a + -29c11?\nAnswer: -299a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.27861 to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 4. What is the smallest value in 3, a, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 4 + 3 = -3*f, 0 = -3*f + 3*i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 + 5 + -11 + 55510 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14 + 13)\/((-2)\/(-4)). What is the second biggest value in b, 1.7, -1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**2 - 622*z - 1451. Determine q(-122).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u - 18. Suppose 0 = -8*d + 6*d - b + 6, -b = -4*d + 6. Let f(y) = -13*y + 14. Let l be f(d). Calculate s(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -315050 + 16936030.\nAnswer: 16620980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -1\/10*z**5 - 1\/15*z**6 + 0 + 1\/6*z**4 + 1\/21*z**7 + 2*z + 0*z**3 + 0*z**2. Solve j(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -2*i - 94, -1715*i + 262 = -1720*i - z for i.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 1 = 3*v - 3*w, -2*v - 2*w = -4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, g: 9, j: 2, d: 2}. What is prob of picking 2 j?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 = 34. Let r be (-68)\/g - 20\/90. What is the second smallest value in r, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.14? (a) -0.01 (b) -5 (c) 2\/11 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 634421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y**2 + 24*y - 93. Give r(4).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -10*t**3 - 40*t**2 + 1143*t + 7. Determine i(9).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 8:14 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.22 - -0.58.\nAnswer: 9.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2 + 6 - 5 + 0. Let p(o) = 2*o - 30. Let s(t) = 6*g(t) + p(t). Let x be s(12). Which is greater: -15 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*l - 6 - 38, r = 2*l + 23. Does 21 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/42 + 142\/(-4)*(-47)\/(3102\/44).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -8. Let g = -8 + r. List the prime factors of 2 - (g - (0 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7167 and 6801.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, t: 4, c: 3}. Give prob of sequence tqq.\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:06 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mumuudummmqmm. Give prob of picking 1 m, 1 u, and 1 d.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(2 - (-14)\/(-8)). Suppose 0 = i + x*i - 10. Suppose i*c - 27 = -5*a + 5, -4*a = -5*c + 47. What is the lowest common multiple of c and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*f. Suppose f = h - 4 + 1. Sort -2, 0, h in decreasing order.\nAnswer: h, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577380949?\nAnswer: 19, 443, 68597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/1600*(-5)\/(-6))\/((372\/72)\/(-31))?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88.5 - -100. What is z rounded to zero decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -628 - 993. Let v = 3502 + u. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196947299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**2 + u + 131. Let w be q(0). What is w rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 186\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 + 147 + (0 + 12 - -2) - -47?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 10*c**3 - 2*c**2 - 18*c + 13. Let s be v(4). Suppose -d + s = h, 4*d = -4*h + 5*h + 2211. Is d a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a + 1 + 11*a + 0 - 4*a. What is the units digit of w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -164 - -162. Let k be -2*(j\/4 - 99\/66). Solve 2*y + 2 = 0, k*b + 3*y - 4*y = -7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.44, -7, 3 in descending order.\nAnswer: 3, 1.44, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 21. Let t be a(-20). Let w = 1.2 + -0.8. What is the nearest to t in 5, 0.03, w?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*h*q**3*y + 2*h*q**3 + h*y - 19*h + 20*q**3*y wrt y.\nAnswer: -5*h*q**3 + h + 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2 = -4. Differentiate 5*l**3 - 4*l**3 - 3 - b*l**3 + 6 with respect to l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 319 times -212836\nAnswer: -67894684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5389, 10809, 16229?\n\"Answer: 5420*p - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1551 and 213004?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-2 - (1 + -2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 7*c + 13. Determine g(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3626)\/(-322) + (69 - 42) + -38?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 32*s - 57. What is b(3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20095.7? (a) 4 (b) 0.019 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/614576 and 81\/256.\nAnswer: 9833216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 - 9 + 7 + 2*c**4 + c - 21*c**3 + 0*c**4 in the form z*c + r*c**4 + n*c**2 + l + b*c**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 5*n**2 + 7*n - 3. Suppose -45 = -8*z + 3*z - p, -17 = z - 5*p. Calculate the remainder when z is divided by w(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.33 and -0.05?\nAnswer: -0.2665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*i, -4*i + 133 = -4*z + 5*z. Let j = z + -39. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 44*l + 6295. Let y be d(-143). What is b in 0*b**4 - 16\/3*b**2 - 4*b**y - 2*b + 2\/3*b**5 + 0 = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in -0.06, 37, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 - 6fb6aa?\nAnswer: -6fb693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 125230 (base 8) to base 16\nAnswer: aa98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -811 - -2?\nAnswer: -80e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1664*s - 1801*s + 12330. Solve -59 = -31*r - s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 2244 - 41908 = 0. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/6)*g*g**(4\/7)*(g**0)**37)\/((g**(-1\/3)*g*g)**34*(g\/g**(-6))\/(g**(-2)\/g)) assuming g is positive.\nAnswer: g**(-895\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1468.007956 rounded to one decimal place?\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -142 + -26680?\nAnswer: -26822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b**2. Let t(w) be the third derivative of w**6\/720 + 5*w**4\/12 - 4*w**2. Let n(p) be the second derivative of t(p). Calculate k(n(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0705*6.73.\nAnswer: 0.474465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1732019 + -3810441717\/2200. What is the common denominator of -7\/40 and v?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57927, -116114, -174607, -233406, -292511, -351922?\nAnswer: -411639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n - 1. Let r(g) = -136*g - 3. Give -r(w) + 2*u(w).\nAnswer: 140*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**4 - 3*g**4 - 4*g**4)*(-3 + 3 + 2*g) + 0*g**5 + 2*g**5 - g**5 - 6*g**5 + 0*g**5 - 4*g**5.\nAnswer: -13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 24 = -3*x. Suppose 18 = -0*n + x*n. Suppose 8*u - 4 = 7*u. Solve -n*o = -t + 19, 0 = u*t - o + 6*o + 9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 o when three letters picked without replacement from {c: 3, g: 12, o: 2, b: 1, q: 1}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-64)\/(-80) + 62766\/5.\nAnswer: 2, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-1\/3))\/(z\/(z\/z**(6\/5)))*(z\/z**(1\/2))**14 assuming z is positive.\nAnswer: z**(112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 20*b**2 + 137*b + 430. Let h(l) = -7*l**2 - 46*l - 143. Suppose -s - 7 + 1 = -2*w, s + 4*w = 0. Let a(q) = s*t(q) - 11*h(q). Let a(j) = 0. What is j?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.321 + -1.321. What is the fourth smallest value in 2\/157, -1, 0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**2 + 1. Let s(k) = 20*k. Let n(l) = 7*l. Let c(g) = -17*n(g) + 6*s(g). What is c(j(f))?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/133 and -22\/453929.\nAnswer: 453929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*x - 6, 0*s - 4 = -s. Suppose x*u = 11*u + 24. Is (-9)\/(-12) - 305\/u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 * 14\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -4, 27*c - 23*c = -3*p + 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/6 + (-2450)\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-216 + 15 + 29 + 1668*n - 1676*n)*(-3 - 6 + 25) to l*n + v and give l.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 + 448*k - 2 - 448*k + 10*k**3. What is the tens digit of z(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*j + 5*l, 4*l + 44 - 21 = -5*j. What is the smallest value in 0, 5\/4, 0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200 and 2260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**7\/140 - p**5\/40 + 5*p**3\/3 + 2. Let c(u) be the third derivative of q(u). What is the second derivative of c(v) wrt v?\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-1 - 0)*-3. Let c be h\/(-8) - 26\/8. What is the tens digit of (21 - c) + 1 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 2*n**2 - n**2)*(-9844*n + 3 + 9844*n + 84*n**2).\nAnswer: -336*n**4 - 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 442\/9 - 445\/9. What is the nearest to 0.1 in 4, -71, -4\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from vvvy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2963.5 + -2963. Which is the closest to 0? (a) -1 (b) q (c) 0.3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 1. Let h(g) = 117*g - 97. Let w(m) = h(m) - 3*p(m). Let k be w(2). Calculate the greatest common divisor of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**3 + 3. Let i(y) = 3*y**3 + 2. Let r(s) = s**3 - 3*s**2 - 4*s - 3. Let w be r(4). Let n(m) = w*v(m) + 4*i(m). Differentiate n(z) wrt z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 914.9541t to micrograms.\nAnswer: 914954100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 369\/450*5 - 2\/20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -155 and -1.6.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88147 and 39666150?\nAnswer: 39666150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(175) + -1)*-5 - 6*(1 + sqrt(175)))**2 + -2*(1 + sqrt(175) + 4 - sqrt(175)))*-5*-3.\nAnswer: -952470 - 4950*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 2*s - 11, 4*s + 3*u - 9 = 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/((-84)\/(-32)). Let j = 0.28 - -0.02. Let k = j + -0.5. What is the closest to 2\/7 in z, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t + 249 = -9*p, -3*t = -4*p - 28636 + 28507 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13916\/5 + 25001\/9. Let q = 26\/5 + s. What is the nearest to 2 in q, -18, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 511*c**2 + 2*c + 701 wrt c?\nAnswer: 1022*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 13*z**2 + 6*z - 15. Let f(r) = -6*r**2 - 3*r + 7. Let v(n) = -5*f(n) - 2*q(n). Is v(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5203128 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 158*b - 6241\/3.\nAnswer: -(3*b + 79)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b - 3*b + 4*b - 3 + (-2*b + 4*b - b)*(1 - 4 + 1).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 4:22 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o)**(-9) assuming o is positive.\nAnswer: o**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2066, -2062, -2058?\n\"Answer: 4*n - 2070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 57. What is the remainder when o(10) is divided by 14 + 1 - 4\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (49 + 2580\/(-180))\/((-2)\/(-1 + 7))\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -12*v**2 - 2*v + 4. Let a be t(1). Let f = a + 66. Calculate the remainder when f is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 2. Let m be q(0). Suppose 3*s - m*s - 3 = 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 852443.1l in millilitres?\nAnswer: 852443100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*f - 17*f + 9*f = 1476. What is the highest common factor of f and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (67 - (-5 + 4))) + (-12 - -9) + -12?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436e (base 16) in base 4?\nAnswer: 110031232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 4. Let l(d) = 0*d**2 - 4*d**3 + 3*d**3 - d**3 + 3 - d**2. Let y(k) = -4*l(k) + 3*u(k). Find the third derivative of y(w) wrt w.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -1\/2*v**2 - v - 3. Let g(r) = -11*r**2 - 4*r + 4. Let j(k) = -g(k) + 4*y(k). Find the first derivative of j(l) wrt l.\nAnswer: 22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + -5*sqrt(1053)*1)**2*3*6 - ((4*(sqrt(1053)*1 + sqrt(1053) + sqrt(1053))*-4)**2 + 5).\nAnswer: -2122853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q + 2. Let a = 6 - 2. Suppose -2 = 5*m - a*w, 5*m + 4*w - 18 = 2*m. Determine i(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4*j = -4, 0 = 4*w - 2*w - 5*j - 17 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7690 and 5383?\nAnswer: 53830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5258, -10681, -16104?\n\"Answer: -5423*c + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 0 + 1 - 4*h.\nAnswer: -6*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-256)\/(-56) + 6\/14. Solve 0*r = 2*c - r - g, -6 = -c + 4*r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - f + 2. Let z be a(1). Let q be z - (6\/4)\/(36\/(-128399952)). Round q to the nearest one hundred thousand.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 2\/167, 526 in descending order.\nAnswer: 526, 2\/3, 2\/167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-28)*w)\/w)**(19\/2)\/(w**(-2\/3)*w**(-9)) assuming w is positive.\nAnswer: w**(-1481\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -206328745*u**2 - 66340296*u.\nAnswer: -412657490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -4727*q + 4726*q - 5*n, -4*q = 4*n - 28 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -100?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**5 - 2*j**5 - 3*j**5 + 2*j**3 - 1)*(-8 + 3 - 6).\nAnswer: 44*j**5 - 22*j**3 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49247 and 407?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -622.805 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 151.4681t?\nAnswer: 151468.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**3 - 33*s**2 - 29*s + 13. Determine k(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**8\/1008 + l**6\/360 + 41*l**2 + l. Factor v(i).\nAnswer: -i**3*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 2625001*g**5\/60 - g**4\/24 - g**3\/3 - 2*g**2. Let m be z(2). Round m to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(190)*-5)\/(4*sqrt(810)).\nAnswer: -5*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-12))\/((-3)\/6). Let j = -200.354 - -200. Let m = j - 0.146. What is the biggest value in l, -6\/5, 1\/4, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55\/457 or -1?\nAnswer: -55\/457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1.45, -7, 0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/25 and -62\/195?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17693226871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48157*g + 51209 wrt g?\nAnswer: -48157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**3 - j**2 + 1. Let c be p(-1). Let i = 54 + c. What is the highest common divisor of 24 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 5563614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3224*n - 396695. What is f(-123)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120 (base 3) in base 4?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {m: 2, i: 1, z: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/95 and (13871\/(-990) + 14)*352\/(-6)?\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-40))\/(-6*6\/(-30))*348\/30\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, z: 3}. What is prob of picking 3 o?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m - 2*m - m**2)*((0*m + m + m)*(-9 - 9 + 21) + 197 - 197 + 270*m + 2*m - 3 + 3) to the form z + b*m**3 + v*m**2 + s*m and give b.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196 and 35?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-96)\/400)\/(3\/10))\/((-36)\/(-50))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -185678*n**3 - 2*n**2 + 14*n + 15. Is p(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -10*w - 205. Let g be (-22)\/10 + 3 - (-1635)\/(-75). Let s be c(g). Factor -3\/8*p**s + 0*p + 0 + 3\/8*p**3 - 3\/8*p**4 + 3\/8*p**2.\nAnswer: -3*p**2*(p - 1)*(p + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 4*h**2 - 5*h - 4. Let y be r(-3). Suppose 2*p + y = i, -4*p + i + 0*i = 0. Let q = 0.3 - 0.33. Sort p, -0.5, q in decreasing order.\nAnswer: p, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 226625226?\nAnswer: 226625225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -492 - -164. Let z = u - -330.82. Let h = -0.18 - z. Sort h, -5, -4\/5 in ascending order.\nAnswer: -5, h, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {r: 3, w: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -67 and -0.9.\nAnswer: 60.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -352 - 4b?\nAnswer: -3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-270)\/(-70) + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5)\/(-30) + (-218)\/(-60) and -131\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010111010001110111 (base 2) to base 9.\nAnswer: 604346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 16*h - 11 - 28*h - 29 - 18*h. List the prime factors of i(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by -2603263\nAnswer: 71\/2603263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**4 + 1101*u**3 - 1098*u**2 = 0. Calculate u.\nAnswer: 0, 1, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27842\/9 - -3090. Find the common denominator of x and -2*(6 + (-1603)\/231).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 263*w**2 - 11*w - 3. Let y be l(-4). Suppose 1996 = -3*a + 7543. Let c = a - y. Round c to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-1\/18)*f*f*f)\/f**11)\/(((f\/f**(2\/25))\/f)\/f**(-6\/13)) assuming f is positive.\nAnswer: f**(-37657\/5850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**4 - w**4 + 2*w**4)*(-7 + 12*w + 7)*(2 - 3 - 11).\nAnswer: -144*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012824 rounded to four decimal places?\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -3\/4, -95, 4, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 175.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ad - -28?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 66807547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201021112 (base 3) to base 16.\nAnswer: 36e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 142\/3 - 48. Let z = -7 + 10. Let o = -9058 - -9060. Put z, o, n in ascending order.\nAnswer: n, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 517590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 525001*p - 4. Suppose -3*w + 12 = 0, -8*m + 5*w = -3*m. Let l be y(m). Suppose 0 = -x - 0*x - l. What is x rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*((2*sqrt(384))\/sqrt(3) - (sqrt(18) + 5 - sqrt(22)\/(-1*sqrt(11)))))**2.\nAnswer: -11268 + 4320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(128) - (-3*sqrt(128) + sqrt(128))).\nAnswer: 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k = g - 6 - 6, -k = 12*g - 32 - 112 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -5976.8.\nAnswer: -5977.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-220)\/(-6) - 4\/6. Suppose 0*q + s = 4*q. Let h(v) = 0*v**2 - 2*v**2 - q*v + 4*v**2. Let p(b) = -b**2 + 4*b. Determine 2*h(r) + 5*p(r).\nAnswer: -r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-14) + (-148)\/300. Let o(b) be the third derivative of 0*b - k*b**5 + 0*b**3 + 1\/300*b**6 + 2*b**2 + 0 + 0*b**4. Let o(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 68, 132, 200, 272, 348?\n\"Answer: 2*i**2 + 58*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15455342 (base 6) to base 12.\nAnswer: -227552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 4, -17\/2, 0.5, -5.\nAnswer: -17\/2, -5, 0.5, 1.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**3 - 961*j**2 + 35*j + 162 wrt j?\nAnswer: 24*j - 1922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4927 and 1516?\nAnswer: 19708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a1 + -49709?\nAnswer: -49448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*q - b + 60, -4*q = -2*b - 42762 + 42814 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -848 + 38158\/45. Which is the smallest value? (a) -1 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10863 - 3*a**2 - 2*a + 16*a**3 + 10863 to the form y*a + u*a**2 + d + l*a**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 7 - 43 = 0. Suppose -9*c + w*c - 6 = 0. Suppose -3*i = -5*i. Solve i*a - c*a - 4 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 51*f - 5*f + 1 + 0. Is l(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2082)\/15*(-1)\/(-2). Suppose 5*b - 129 = 4*u + 131, 3*b - 58 = u. Let d = u - y. Calculate the common denominator of d and 149\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.17335 rounded to two decimal places?\nAnswer: 2.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 3. Let k be f(7). Let j(v) = -v**3 - 3*v**2 + 4*v - 2. Let p be j(-5). Suppose y = x + 7, 5*x = -0*x - 2*y - p. Sort x, 1, k in increasing order.\nAnswer: x, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*u - 5*u - 6*u - 2*u**2 + 0*u to r*u**2 + p + i*u and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -0.9655.\nAnswer: -1.4655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -c + 5*w + 343, -3*w + 12 = 0. What are the prime factors of c?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-5))\/(26\/(-715)))\/(3\/6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 166, 371, 652, 1003, 1418, 1891, 2416?\nAnswer: 2987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = y, -3*u + 6*y = y + 26. Let h = 2 - -2. Let i = h + -5. Which is the smallest value? (a) i (b) -5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 34933300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 86.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-6))\/((-3)\/2). Suppose -2*a - 3*c + 3 = 0, -5*c + 5 = -a - 0*a. What is the nearest to a in t, -2, 3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**4 + 535*k**3 - 37432*k**2 - 37968*k = 0.\nAnswer: -1, 0, 84, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -10. Suppose f = 5*n - 1. Factor -o**3 - 2*o**n + 2*o**3 + 0*o**4 + o**2 - 2*o**4.\nAnswer: -o**2*(o + 1)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -5. Let v = t - -4.1. What is the closest to v in -1\/8, -0.5, -1\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11759 + 11759.2. What is the nearest to -2\/5 in -7, -34, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.526 - 235.026. Let z = k - -235. What is the nearest to 2 in -0.1, z, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1114314002 (base 5) to base 7.\nAnswer: -30130460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1844, 3685, 5526, 7367?\n\"Answer: 1841*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-23)*i*i**(4\/13))**(-15) assuming i is positive.\nAnswer: i**(4230\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1836*k**3 - 1829886*k**2 + 1829886*k**2)*(-1 + 3 - 2 - 1).\nAnswer: 1836*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1036, -1035, -1034, -1033?\nAnswer: -1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4202 + 0.00582\nAnswer: 4202.00582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 6*m - 3. Suppose 1 = 3*z - 8. Let i be 22\/(-6) + z\/(-9). Let a(h) = h - 1. Let c(r) = i*a(r) + b(r). Give c(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127 - -5 - (160 + -213)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -23916, 131?\nAnswer: -23916","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 333950?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, j: 3}. Give prob of sequence ajj.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 22216032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292795517.\nAnswer: 7, 1567, 26693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*z + 20123 - 20235 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**3 + 614*k**2 + 38182*k + 37570 = 0.\nAnswer: -221, -85, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfgccfcffgccc. Give prob of picking 1 f and 2 g.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4471 - 4468.849. What is z rounded to one dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27353?\nAnswer: 17, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 13, 4 in decreasing order.\nAnswer: 13, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39332 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 119. Let a be (-64)\/z + (-14)\/(-3). Suppose 120 = -r + a*r. What is the highest common divisor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, -2, 0, -1\/73, 166, 0.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 9. Let q = a - -113. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-48)\/4)\/(1 - 0). Let c be 2\/3 - 76\/j. Solve 2*q - 2*i - 27 = c*q, q = 5*i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, k: 1, o: 5}. What is prob of sequence oooo?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-24)\/(-9)*1045\/18050 and 10\/7?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*o + 0 + 0)*(2*o**3 + 2*o**3 - 2*o**3) + 0*o**2 + o**4 + 0*o**2)*(6*o + 3*o - o).\nAnswer: 56*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by 244680\nAnswer: 7\/61170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 20. Suppose -24*j = -t*j + 102. Let i = j - -33. Let r(u) = -10*u**2 - 1. Give r(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564.1576 centimeters in millimeters?\nAnswer: 5641.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -121. Calculate the greatest common factor of t and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 119 or -1\/6?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36 + -35)*(2 - (1 + -1)). What is the highest common divisor of y and 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 733.1 - 740. Let p = -6.6 - i. Let w = 4 - 8. Which is the closest to w? (a) p (b) 3\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1128157, 4512475, 10153001, 18049735?\nAnswer: 28202677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 685 and 11533.\nAnswer: 7900105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20655, -41310, -61963, -82614, -103263?\nAnswer: -123910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1\/2*a**2 + 3\/2*a = 0. What is a?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -123919? (a) 5 (b) -2\/13 (c) 1\/4 (d) -2\/17 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 612 and 15192798?\nAnswer: 91156788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -2 (c) 218 (d) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237 (base 9) to base 8.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 440*i**2 + 379448*i + 757120.\nAnswer: -2*(i - 560)*(i + 2)*(i + 338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 37*h - 1649 + 445 = -150*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(3 - (-52)\/(-20)). Let w(v) be the third derivative of v**4\/24 - 7*v**3\/6 + 2*v**2. Calculate w(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -3, -111596, 12, 4.\nAnswer: -111596, -4, -3, -1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1098209541 divided by 2559929\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s**3 + 8*s**2 - 8*s**2 + (-3*s**2 + 4*s**2 - 2*s**2)*(s - 3*s + 0*s) + s**3 + 3*s**2 - 3*s**2.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15505, -12183, -8863, -5545, -2229, 1085, 4397?\n\"Answer: -j**2 + 3325*j - 18829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2357209 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -3.4. Suppose -z = 5*d - 33, 4*z = 2*d - 3 + 25. Suppose -5*v = -z*v + 12. Sort v, s, -1\/2 in descending order.\nAnswer: v, s, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3\/13 + 40*n**2\/13 = 0.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*s - 89*s = -12. Solve -3*w + s*f = 12, -w - 4 = -2*w - 3*f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 - 69. Suppose -x*a + 65 = -6*a. What is the remainder when 20 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/7 - 40*x**2\/7 + 74*x\/7 - 36\/7 = 0. Calculate x.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 2628\/13 + -1. Let p = q + -202. Let w = -0.2 + 0. What is the smallest value in -0.3, p, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*a**5 - 57*a**2 - 120*a**5 + 30*a**5 wrt a?\nAnswer: -2700*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 198 - 382 + 186 + 329*j + 197*j as h*j + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*m, -m - 1 = o - 2. Suppose 0 = o*u - 5*u - 24. Is 9 a factor of (u\/(-18))\/(1\/57)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (114257\/481)\/17.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4 - 6 = 0. Let g(v) = 2*v**3 - 5*v**3 - 3*v**2 + 4*v**2 + 4*v**3 + 1. Let h(l) = -l**3 - 5*l**2 - 1. Determine s*h(m) + 3*g(m).\nAnswer: 2*m**3 - 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 608580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 41*v - 630. Give c(53).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0 - 4 = r, -3*b + 60 = -3*r. Let q = r + 45. Let c = q - 12. Solve 5*d + 1 = -c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -159 less than -161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 + 2?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -187, 2 in ascending order.\nAnswer: -187, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2621, -2639, -2671, -2723, -2801, -2911, -3059, -3251?\nAnswer: -3493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01258803191 rounded to 6 decimal places?\nAnswer: 0.012588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -28. Let a = z + -41. Let v = a + 20.0000028. Round v to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54158 - 4497*m + 54158 as c*m + z and give c.\nAnswer: -4497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, 13, 23, 37, 55, 77?\n\"Answer: 2*f**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65 and 30?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19391 + 0.3.\nAnswer: 0.10609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -221021 (base 5) to base 13\nAnswer: -3625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 3*a + 59. Let k(w) = 2*w**3 + 3*w**2 - 2*w + 1. Let c be k(-3). Is v(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22200333 (base 4) to base 12\nAnswer: 20b13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -15. Calculate the least common multiple of f and -2*(-2)\/2 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 67. Calculate the remainder when m(-21) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91752580\/314809 - 6\/28619. Which is bigger: 292 or s?\nAnswer: 292","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336323984.\nAnswer: 2, 41, 43, 11923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 231007?\nAnswer: -231007.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2109*i**3 - 22*i**2 - 33*i - 6. What is the hundreds digit of t(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 12*s + 5*o - 13 = 0, 4*s = -4*o + 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12a15 + -509?\nAnswer: 12509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgo when three letters picked without replacement from jojmmmmjgmmomxmmj?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000041 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from atnn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.384 - -1.264. Which is the third biggest value? (a) n (b) 5 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or -4\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 227837467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*c**2*k**2 + 2*c**2 - c*k**2 + 2*k**2 - 15 wrt c.\nAnswer: 24*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5207396 rounded to three decimal places?\nAnswer: -0.521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24590129?\nAnswer: 3583, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, -3, -4, 25\/4?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -49, 0, -27\/4, 10\/13 in descending order.\nAnswer: 10\/13, 0, -27\/4, -8, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r**2 + 3 - 11 + 9.\nAnswer: 20*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from ooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 10*k - 8. Suppose -b = 5, -q = -2*b + b + 6. Let v = q - -3. Give h(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45887599*w - 45887553*w = -2576 for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-4)*p)\/p*p*p)\/p)\/p*p**(3\/8))\/(p**(-7)\/((((p*p**(1\/2)*p)\/p)\/p)\/p)) assuming p is positive.\nAnswer: p**(23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**6\/60 + 7*d**5\/90 - 4*d**3\/9 - 6*d**2. Factor a(p).\nAnswer: 2*(p + 1)*(p + 2)*(3*p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*f + f - 62, -f = r - 56. Let a = f - 56. What is the common denominator of -97\/16 and (3\/(-72))\/(a\/(-58)) + 2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1622*d + 50237. What is l(31)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from qofoj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, 4, -5, 2 in increasing order.\nAnswer: -100, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -53 + (22 - (4 + 9)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91 - -94. Is (41 + -5 - z)*3 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**5\/5 + 62*g**4\/5 + 124*g**3 + 388*g**2 - 622*g\/5 - 2002\/5 = 0.\nAnswer: -13, -11, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80115 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljlj when four letters picked without replacement from {j: 6, l: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -3 (b) 8 (c) 1\/2 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**2\/2 - 2456*i. Let l(m) = -16*m**2 - 2*m - 2. Calculate -2*j(g) - l(g).\nAnswer: 16*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 34\/5 of a kilometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-6))\/((-2)\/(-126)). Suppose 0 = -2*j - 3*j + l. What is the highest common divisor of j and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -102*d - 1. Let g = 14 + -18. Is c(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/648)\/((-10)\/(-12))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -68664.\nAnswer: 343320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-9)*5526\/1535 + 100\/18.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9809 >= 19615\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 139374 + (-3)\/(-4 - -1). Let j be m*-32*3\/(-6). Round j to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 145 - 124. What is the remainder when 184 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - -4 - (-16 - -20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*t + 14 - 0, -2*t = -s - 6. Let d = 9\/4 + s. Is d > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 2*u + u - 6 - 2*u**2 + 0*u**3 - 6*u. Is 19 a factor of a(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 26*b**2 + b - 1. Let n(s) = 2*s + 13. Let z be n(-6). What is the smallest common multiple of z\/(-4) + 438\/24 and l(1)?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 387, 3083, 10333, 24393, 47519, 81967?\n\"Answer: 376*t**3 + 21*t**2 + t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5757*a + 6 - 17 = 4*v - 5752*a, 12 = -2*v + 4*a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13015565 (base 7) to base 8\nAnswer: -4402342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -14*f - 2. Let m(l) = 25*l + 4 - 6 - 20*l + 3. Suppose -5*j + 15 = 55. Suppose 5*y = 25, r + 3*y - 21 = 3*r. What is j*m(a) + r*t(a)?\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n**2 + 28*n**2 + 57123*n - 57123*n. Let f(z) = -z. What is f(c(m))?\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 130 + 732*a - 98.\nAnswer: 732*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 11 - 8 - 110*i**2.\nAnswer: -110*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 11:36 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3763*o**2 + 18 - 3762*o**2 - 4*o**4 + 6*o**4 + 40 - 6 to b*o**3 + x*o + y*o**4 + f*o**2 + i and give i.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -16b703?\nAnswer: -16b6b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/5 - 66*y**2\/5 - 1089*y\/5.\nAnswer: -y*(y + 33)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from cctwttwtwwtttww?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 63\/(-4) + (-2)\/8. Let a = 22 + c. Is 47\/2*a\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 - 5*h + 3. Let m(c) = -c**2. Let f(i) = 3*i**2 - 1. Let l(p) = -f(p) - 2*m(p). Let s(d) = -a(d) + 3*l(d). What is s(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c + 3 = 0. Solve -9 = 5*o + c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36194)\/7 + (-972)\/(-378). Is a at least -5167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 33882775?\nAnswer: 33882777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-243)*-9*-24.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 51\/((-112404)\/(-8))*-19\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/16 and -25\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4*-8*6\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -28*n**3 + 23*n**2 + 55*n + 1. Let s be v(-5). What is the greatest common factor of 273 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -198.1 + 198. Let t = -85\/237 - -2\/79. What is the second biggest value in t, -10, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11798.09 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**9\/45360 - v**8\/5040 + v**7\/1512 - v**6\/1080 + v**4\/4 - 3*v. Let a(w) be the third derivative of l(w). Factor a(t).\nAnswer: t*(t - 2)*(t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3 - 2) - (11 + (8 - -11))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 4. Let g be n(3). Let v be (-20)\/70 - 16\/(-7). Suppose 0 = -v*d - 0*d. Solve d*m = g*m - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 + -6 + 9 + 0 - -2079?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-6) - 215\/(-129). Let w(y) = 2*y**2 - 6*y - 7. Calculate w(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 17364*v**2 + 34737*v + 17370.\nAnswer: -3*(v - 5790)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000344091813 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -114*i - 1885 - 1335 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6224 or 6223?\nAnswer: 6223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1224 + -864. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**2\/((g\/g**(-14)*g)\/g) assuming g is positive.\nAnswer: g**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-20) - 0)\/((-42)\/(-56)). Sort 2\/7, -3, -5, p, 0 in increasing order.\nAnswer: -5, -3, p, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 x, and 1 k when three letters picked without replacement from kxkkxxykxykkxxkx?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2*1*67\/134\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -3595.7425.\nAnswer: -7191.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 41*m**2 - m + 46. Let r be n(41). Which is the closest to r? (a) 0.5 (b) 4 (c) 2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 14. Let t(q) be the second derivative of 1\/6*q**3 + 0*q**2 + m + 1\/6*q**4 - q. What is the second derivative of t(d) wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (10 - 9)*167 + 10 is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.07 + 0.0093548.\nAnswer: -1.0606452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8483 times -1.48?\nAnswer: 12554.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/48 and 79\/4731688.\nAnswer: 28390128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 1. Let w(l) = 8*l - 13. Let q(t) = -28*n(t) + 4*w(t). Let s be q(6). Which is the biggest value? (a) 0.5 (b) s (c) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 5)*4 + 130\/15.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**4\/6 + 1394*s**3\/3 - 485809*s**2 - 1707*s - 2. Find k such that p(k) = 0.\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**8\/840 - 4*h**7\/525 - 11*h**6\/300 - h**5\/25 - 31*h**2 + 2*h. Factor p(k).\nAnswer: 2*k**2*(k - 6)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8*h**3 + 78*h**2 - 15*h + 11. Give m(-10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1701)\/6)\/(-7) + 2\/(-4). Let p = -39 + o. Suppose -17*d = -4*d + 52. Put d, 2, p in decreasing order.\nAnswer: 2, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1252570\/(-825))\/(-59) + -25?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 939, 830, 719, 606, 491?\n\"Answer: -l**2 - 106*l + 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 331*k + 2806. Calculate g(-8).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31526 is divided by 15720?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2*-143.2\nAnswer: 286.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3785\/8 + -473. Let g be ((-1)\/(-3))\/((-2)\/3). Sort s, 0, 1.3, g.\nAnswer: g, 0, s, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -115a (base 14) to base 4.\nAnswer: -233030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4535*w - 4538*w + 2*c, -3*w - 4*c = -15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10006 - 10007. Let h(p) = -2*p**3 + 8*p**2 - 4*p - 3. Let m(i) = i**2 - i. Give a*h(f) + 4*m(f).\nAnswer: 2*f**3 - 4*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -22700 (base 10) in base 8?\nAnswer: -54254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 465426*r**3\/11 - 50778*r**2\/11 + 1536*r\/11 - 8\/11.\nAnswer: 2*(39*r - 2)**2*(153*r - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -0.1. Let o = 0.189 - -0.011. Let v = -3 - -8. Sort v, o, j in descending order.\nAnswer: v, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 435372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -83\/3484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u**(1\/5)*u))\/((u**(-2)\/u*u)\/u))\/((u\/(u\/u**(-6)))\/(u*(u*u**(-15))\/u*u)) assuming u is positive.\nAnswer: u**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**4\/6 + 5*u**3\/3 + 2*u**2 + u. Let f be d(-4). Let h = f + 37. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00230072 rounded to 5 dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -137 - -137.5. Let x = 4.8 - 5.3. Which is the biggest value? (a) 1\/11 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 2 + 6*j**2 - j**2. Let a(v) = v**2 - 1. Let t(f) = -2*f**2 + 3. Let p(z) = 4*a(z) + t(z). What is 3*d(i) - 5*p(i)?\nAnswer: 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4) - 10\/(40\/(-323246)). Suppose 96715 + c = 7*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 126 - 126 - 40*g in the form k*g + t and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 221\/11970 and 25\/9576.\nAnswer: 47880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60\/(84\/7) - (2 + -224) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*j + 44*j**6 - 91*j**2 + 94*j**2 + 13*j wrt j.\nAnswer: 5280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.56247763 to 4 dps.\nAnswer: 15.5625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 3 - 3 + (m - 2*m + 0*m)*(2 + 2 - 5))*(-2 - 2 + 2).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 6934 + 10046. Let k = -5389 + f. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 3*c + m, -6*c + 4*c + 38 = -3*m. Let h = 25 - c. Solve 0 = h*g - 13 + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219022 is divided by 15644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 21 - 4)*(0*j - j**2 + 0*j) - 3*j**2 - 2*j**2 + 7*j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 805705\nAnswer: -10474165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 - 17*v**3 + 3 - 5 + 8*v**2.\nAnswer: -17*v**3 + 3*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*i = 90*i + 248. Let t = i + 136. Calculate the least common multiple of 16 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2 - 16*r. Let m(x) be the third derivative of x**4\/2 + 4*x**2 + 21*x. What is m(c(w))?\nAnswer: -36*w**2 - 192*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 10, g: 10}. Give prob of picking 1 i and 2 g.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -1\/26, -5, 24, 5, -1.3, 16?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52500 and 80000?\nAnswer: 1680000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 58. Sort 0.4, n, -3 in ascending order.\nAnswer: -3, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (630\/567)\/((-12)\/54)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -9070451?\nAnswer: 9070456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -655 (base 10) to base 15\nAnswer: -2da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-21 + -3 - -27) + (-2 + 3 - -60) + -1\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45133425 by 601779.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9482?\nAnswer: 2, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 82142964026 + 2?\nAnswer: 82142964028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/15 + 303620\/24675. Suppose 5 = y + 2*g, 7*y - 4*g = 2*y + 81. Is y greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242402 (base 5) in base 16?\nAnswer: -238e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = m - 2, 32*u + 19 = 4*m + 29*u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 882 + -771. What is the remainder when 440 is divided by w?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**5\/60 + 7*x**3\/6 + 242*x**2. Let p(i) = -6. Let k(d) = -7. Let j(n) = 3*k(n) - 4*p(n). What is -14*j(g) + 6*m(g)?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 597574.8 months?\nAnswer: 49797.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 51*(25\/15 + -1). Let d = 34 - b. Suppose m - l - 82 = d, 4*m + 2*l + 136 = 434. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*q + 84 = 0, 16 = -3*d + 3*q - 47. Calculate the common denominator of 14\/(-180) - d\/30 and 73\/112.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -1 (c) 4 (d) -119.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k. Let h(l) be the second derivative of 1046*l**4\/3 - 1346*l. Give h(g(c)).\nAnswer: 16736*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 11 = -0*f + 4*h, 8*f - 16 = -4*h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - r**2 - r - 82. Let a be g(0). Let t(v) = -13*v + 2. Let w be t(-6). Find the common denominator of -57\/10 and 202*(a\/w - -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(68)*-4 - sqrt(68) - sqrt(68)) + sqrt(68) - sqrt(68)) - (3*sqrt(68)*-4 + sqrt(68)))\/(4*sqrt(100) + (sqrt(4) - sqrt(8)\/sqrt(18))).\nAnswer: -75*sqrt(17)\/62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 8 - 6 - 2*c + 9*c - 6*c + 9. Calculate x(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {n: 6, u: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -5, -3\/3224?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108350*s + 9555 = -106985*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 - 501*t - 20601\/2.\nAnswer: -(t + 21)*(t + 981)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-10) + (-4)\/10. Let c = -3 + 8. Suppose 21 - 16 = -o. Sort o, c, m.\nAnswer: o, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -1\/51 (c) 2 (d) -3\/2 (e) 0.3 (f) -4 (g) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -9*z**2 - 212*z - 1. Let c(d) = d. Give l(c(u)).\nAnswer: -9*u**2 - 212*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 49 = 41. Suppose -5*o + v = l, 0 = -2*l + 6*l - 2*o - 70. Calculate the lowest common multiple of 60 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 + 5*m + 4. Let p be g(4). Let r be p\/12 + (-8)\/6. Let v be r\/(-6) + (-44)\/(-12). Solve -v*w = w - 2*q - 7, -4*w = -q - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + (20 - (102 + -92 + 7 + -1)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n + 1485 = 1530 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -682 divided by -62?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 11:30 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61\/170 + 7\/170. What is u in z*u**2 + 4\/5 - 6\/5*u = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.3, -229, 0.3, 0 in ascending order.\nAnswer: -229, -0.3, 0, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 370676 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/60 - 5877\/(-12). Let a = k + -115. What is the greatest common divisor of 15 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 + 28. What is the common denominator of 2\/(-3)*l\/(-2) and -36\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - 6 - (0 + 11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 314131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (652\/10)\/((-89)\/30 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1030 + -144255?\nAnswer: -145325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Factor 0*o + o**3 + 3*o**3 + o**4 + 4*o**2 + z*o.\nAnswer: o**2*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4817 < 4817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10102221211 (base 4) to base 7\nAnswer: -12363532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15501500 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -444893.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -117225 divided by 75?\nAnswer: -1563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -170*p - 1344. Let c be a(-8). Let n = 6 + 34. What is the greatest common divisor of c and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -388*259\/(93240\/144)*(-5)\/8.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g. Let m(w) be the second derivative of -3\/2*w**2 + 0*w**3 + 43*w + 0 + 1\/3*w**4. Give m(j(u)).\nAnswer: 16*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (1*6)\/(5 + (-297)\/60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/120 and -83\/90?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iic when three letters picked without replacement from ycjliiilcccu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + 3*sqrt(700) + 3 + (sqrt(700) - ((sqrt(700) - (-3 + sqrt(700)*1)) + sqrt(700))).\nAnswer: 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5)*a*a*a*a**(1\/2)*(a*a*a**0)\/a**(-6) assuming a is positive.\nAnswer: a**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 0*c**6 + 0*c**3 + 0*c - 1\/24*c**4 + 0*c**5 - 3\/112*c**8 - 3*c**2 + 0 + 0*c**7. What is the second derivative of t(k) wrt k?\nAnswer: -180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3. Let i(k) = 10*k - 66. Let l be i(7). Let m(a) = -1 - 3 + a - 4. Let q(v) = l*m(v) + 11*g(v). Determine q(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-2\/7)*m*m)**20\/(m**(-2\/21)*m*m**2)*((m**(-1\/3)\/m)**(-10))**11 assuming m is positive.\nAnswer: m**(4819\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 13*b**4\/24 - 2*b**3 - 37*b**2. Let x(z) = 5*z - 4. Let h be x(3). Is p(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -375*j - 265. Let d(b) = 22*b - 16*b + 11*b + 12. Let x(l) = -45*d(l) - 2*h(l). Differentiate x(o) with respect to o.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23193922?\nAnswer: 2, 163, 71147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-85 + 89 + (5 - (0 + 0))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/32*(-4)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x + 3. Let h be y(0). Suppose 0 = 5*i - 9*c + 5*c - 257, -2*i + 89 = h*c. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -113226114 - 32?\nAnswer: -113226146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 9:22 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 54\/30 - (-2)\/10. Let g(y) = y. Let u(w) = -12*w + 27. Let h(k) = -6*g(k) - u(k). Let a be h(5). Solve -l + a = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + ((sqrt(209) + 1*sqrt(209)*1 - sqrt(209)) + sqrt(209))\/sqrt(11))*-1)**2.\nAnswer: 4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**3*o**3 - 83*f**3*o - f**3 - 2043*f**2*o**2 - f*o**3 wrt f.\nAnswer: 12*o**3 - 498*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2b5b (base 16) to base 5\nAnswer: -323344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 226836 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 13*i**2 - 10*i - 20. Let k be t(-16). Let c = k + 13265. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2833603747?\nAnswer: 13, 217969519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/6 - 298*c\/3 - 13216.\nAnswer: (c - 708)*(c + 112)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 divided by 3.\nAnswer: -107\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:57 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/8*(-16)\/4. Suppose 2*z = -3*k + 26, 5*z = s*z + 5*k + 10. 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 {o: 1, x: 1, n: 2, c: 2}. What is prob of sequence ox?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**4 + 57*c**3 + 142*c**2 - 480*c - 128 = 0.\nAnswer: -8, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*d - 3, t + 3*d + 2 = 0. Suppose -1919 = t*y - 5160. Suppose y = 5*p - 487. List the prime factors of p.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (-1 - 0))\/2. Let q(h) = -h - 13. Let d be q(-8). Let p(o) = 7*o + 29. Let i be p(-4). Put w, i, d in descending order.\nAnswer: i, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -729*d + 8894. Calculate the remainder when 3941 is divided by x(12).\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-10))\/((-165)\/(-20))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 4231024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.071 and 2146.9?\nAnswer: -152.4299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, 7, 5, -12 in descending order.\nAnswer: 7, 5, -5, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -128 - -186. Calculate the remainder when s is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 17*w**2 - 23*w - 96. Let r be j(-16). Suppose 5783 = r*h - 7801. What are the prime factors of h?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 944, 2946, 6290, 10982, 17028, 24434, 33206?\nAnswer: 43350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1869 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.50054426302564 + 0.26\nAnswer: 0.76054426302564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055 times 0.8?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 624498 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4) - 18122\/(-1320). Let i = 63\/55 - q. What is the common denominator of i and -81\/32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2482, -2409, -2340, -2275?\nAnswer: -2214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/15)\/(96\/(-320)). Let q = 1.03 - 0.03. Suppose -1 + 2 = t. Which is the closest to t? (a) -5 (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 4 (b) -2\/7 (c) 1.3 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -36 (b) -5 (c) -161703\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 51, -2, -37 in increasing order.\nAnswer: -37, -2, 0, 1, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 104031024 (base 5) to base 16\nAnswer: 6f1e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-128)*-2*(-32)\/(-24).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1206 by 3.\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 165900 divided by -41475\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -0.9 (c) 2 (d) -2\/9 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201300330 + 10?\nAnswer: 201301000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q - 2 = 0. Let u(v) = 1 + 0*v**q + 10*v**2 + v + 0. List the prime factors of u(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - k. Suppose k = -2*j - 2*a + 24, -2*a - 46 = -3*j - 15. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -45*c*o + 1413*c + 8*o wrt o?\nAnswer: -45*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 554 and 16.\nAnswer: 4432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by (-306)\/(-119) - (-3)\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, 1\/5, -2\/7, -0.4, 1\/3, 0.1 in increasing order.\nAnswer: -76, -0.4, -2\/7, 0.1, 1\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/4648823 and 17\/44181.\nAnswer: 41839407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*f - 73*f = 5. Which is the nearest to -0.3? (a) -12 (b) f (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 c when two letters picked without replacement from cmmcmcmmcc?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52821526 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-690)\/80)\/23 + (-25)\/16*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**3 + 6*c**2 + 14. Let q(j) = j**3 - 78*j + 16. Let x be q(-9). Let o(b) = -7*b**3 - 11*b**2 - 27. Give x*d(h) - 6*o(h).\nAnswer: -2*h**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 11*y**3 - 2*y**2 - 234*y + 4. Let a(l) = 10*l**3 - l**2 - 234*l + 3. Let t(k) = -4*a(k) + 3*b(k). What is the second derivative of t(s) wrt s?\nAnswer: -42*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -622 - -1084. List the prime factors of s.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (36\/21)\/6 + (-7694)\/(-21). Let g = 24047\/66 - q. What is the common denominator of (-5)\/((-360)\/399)*2 and g?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176482079.\nAnswer: 2903, 60793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -35. Let l = k - 25. What is the remainder when (-5 + 2)\/(l\/11) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15 + 345\/(-25) + 4\/5. Let k(c) be the third derivative of f*c**2 + 0 + 0*c + 5\/12*c**4 + 2*c**3. What is the first derivative of k(x) wrt x?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897 - 1037 = -5*i - 5*v, 4*v = 6*i - 128 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6) - 1)\/((-136)\/102) - (32 - -34)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-1*2\/(-4)). Suppose 6 = w*k - 0*k. Calculate the smallest common multiple of k and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w - 3*l + 4, -w - 1 = 5*l. Let i = w + 1. Let b = i + 17. Solve 4*x = c + b, 0*c - 3*c - 3 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 + (-250 - -242).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(0 + sqrt(2299))*-5)**2.\nAnswer: 3103650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.3, -3\/5, 2\/3 in increasing order.\nAnswer: -3\/5, -0.3, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 8*v - 5*n + 14 = 0, -5*v + 18 = -n. Suppose 0 = -5*a + 5*t + 60, -96 = 17*a - 22*a - v*t. Does 16 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1357, 4, 10 in descending order.\nAnswer: 1357, 10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 3*n + 112. Let g = n + 12. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 0*k + 3\/2*k**2 + k**3 + 0*k**4 - k**5 - 247. What is the third derivative of c(d) wrt d?\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8112 is divided by 2590?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0. Let w = p - 0.2. Let m = -0.02 + 2.02. What is the closest to m in w, -3, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11 - 4)*-1 - -10. Solve -u*h - 234 = -225 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 16*p + 15624 = 0. List the prime factors of p.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6304821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1458 - -1528?\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276504328 divided by 2383658.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 75 = -15*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36426*j**3 - 65*j**2 - 291*j.\nAnswer: -218556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 4. Calculate the lowest common multiple of 7 and c(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 1131 = -15*d + 3*d. Let c = -24 - -41. Let m = d - c. What is the smallest common multiple of 6 and m?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1 + 1 + sqrt(19) - (-1 + 1 + sqrt(19))))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*x = y + 54000003, -3*x = -2*y + 32399994. Round x to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hdezze. What is prob of picking 3 h and 1 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 greater than or equal to 529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 769378 - 769378 - 12059*k in the form b*k + d and give b.\nAnswer: -12059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**3\/7 - 20*q**2\/7 + 50*q\/7 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -72708, -145536, -218360, -291180, -363996, -436808?\n\"Answer: 2*p**2 - 72834*p + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 136 in 0.4, 1.12, 6, -1, -2, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2764.82 + -0.5.\nAnswer: 2764.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83918.12 millilitres to litres.\nAnswer: 83.91812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000343 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3)*(-3825)\/(-102). What is the remainder when 63 is divided by (-22)\/(1 + f\/15)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -799 - -802. Suppose 2*l = -n*u + 1 + 38, -u = -5*l + 89. Let j(r) = 2*r**3 - 4*r**2 + 3*r - 6. What is the remainder when j(4) is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l + 177*l + 780 = 135*l for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2350\/9 or 22553?\nAnswer: -2350\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, p: 5}. Give prob of picking 2 p.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - 2 + 32*d**2 + 0 - 30*d**2 + d**2 - 3*d**2 + d**2 + 2*d**2 - 3*d**2 + 0*d**2 + (-1 + d + 1)*(1 - 1 - d) in the form b + s*d + q*d**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, j: 1, k: 2, t: 2}. What is prob of picking 1 t and 1 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v**2 + 6*v. Let s(p) = 50*p**2 + 43*p**2 + 40*p**2 - 2*p - 176*p**2 + 41*p**2. Let c be (-1)\/(-2) + (-5)\/(-2). Determine c*n(l) + 8*s(l).\nAnswer: 5*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3567)\/410)\/((-27)\/15)*42\/7?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/3))**(-5))**47 assuming l is positive.\nAnswer: l**(-940\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**6\/60 + q**4\/12 - 41*q**2\/2 + 52*q. Let b(v) be the first derivative of h(v). Factor b(t).\nAnswer: -2*t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -149 + 150. Let s(x) = -6*x - 6. Let a(l) = -l - 1. Calculate u*s(m) - 4*a(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46 - -844)\/(-42) + -3 + 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 2. Let w(n) = -2*n**2 + 6. Let r(t) = 2*t + 25. Let m(a) = a. Let l(v) = -5*m(v) + r(v). Let b be l(5). Give b*u(z) + 3*w(z).\nAnswer: 4*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 47\/(-7) + (-2)\/7. Let x = 21 - p. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 2. Let l(z) = -z**2 + 2*z - 9. Let o be l(8). Let y = 283\/5 + o. What is the smallest value in -1\/4, q, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v. Let k(n) be the second derivative of n**7\/2520 + n**4\/4 - 5*n. Let p(w) be the third derivative of k(w). Calculate p(s(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 7*o**5\/60 + 7*o**3\/3 + 9*o**2\/2 - 9. Let g(n) be the second derivative of r(n). What is the first derivative of g(a) wrt a?\nAnswer: 14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**4 + 11*q**3 + 85*q**2 + 13*q + 6. Let u(a) = a**4 + 12*a**3 + 87*a**2 + 34*a + 4. Let o(x) = -6*i(x) + 9*u(x). Factor o(k).\nAnswer: -3*k*(k - 19)*(k + 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 15*d + 258. Is m(-6) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.3 - -8.3. Let v = -490 + 287. Let n = v - -199. What is the fourth smallest value in o, n, -2, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - z - 24. Let f be p(0). Let b be -2 - f - (2 - 0). Let c(w) = 12*w + 4. Let y be c(3). Calculate the highest common divisor of y and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-5))\/((-6)\/15). Suppose -2*o + y*o - 6 = 0. Calculate the highest common divisor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - 20?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-45))\/(1 + 5\/(-6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 2*o**4 + 3*o**3 + 9. Find the third derivative of h(r) wrt r.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 28*t + 656, 2*g + 26*t - 27*t = -17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j - 53*j + 0 = -884 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 504 - 31*x**4 + 452*x**2 - 33*x**4 + 876*x + 84*x**3 + 68*x**4 = 0.\nAnswer: -14, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 173, -11, -0.2?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19281*n**3 + 33914 wrt n.\nAnswer: -57843*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508650166.\nAnswer: 2, 17, 641, 23339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 36 = -2*t. Suppose -w = 2*g + 4*w - 71, 4*g = 2*w + 202. Calculate the smallest common multiple of t and g.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(245)*1*-6)**2*-1.\nAnswer: -35285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61968.\nAnswer: 2, 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 25*o**8\/336 - o**4\/6 - 31*o**2. What is the second derivative of g(w) wrt w?\nAnswer: 500*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or 209?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1380 - 2.89.\nAnswer: -1382.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9c (base 15) to base 6\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*i**3 + 0 - 1\/5*i**4 + 1\/5*i + 1\/5*i**2.\nAnswer: -i*(i - 1)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j + 5. Let n be g(0). Suppose -3*o + 2*s + 11 + 81 = 0, 120 = 5*o + n*s. Suppose -3*y + 5 = -2*y. Solve -o = y*x + w, -2*w + 10 = -4*x - 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1361, -1362, -1363?\nAnswer: -1364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -16241.705 to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/6 - -1)*-36. Suppose 6 = 4*w - o. Suppose -50 = k - w*k. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/17, -29, -0.2, -3 in decreasing order.\nAnswer: 0.1, -2\/17, -0.2, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.1 + -34. What is the nearest to -3\/7 in -4, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1400720 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s - 120 = 0. Calculate the remainder when s is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 13 + -35 - -37 - (31 + 0)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -0.26, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 2:21 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 minus 119?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 125905\/24 + -5245. Let i = n + -3\/8. Put -3, 2\/5, i in ascending order.\nAnswer: -3, 2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 52 + 0*u - 2*u + 2*u**2 - 50 + 10*u**3 - u. Let c be p(1). Let t(q) = -q + 3. What is t(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -205.843 - -206. Let y = w + 0.043. Let t(f) = f + 7. Let x be t(-6). Which is the nearest to 0? (a) 1\/7 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 574355, 2293739, 5159371, 9171245, 14329355, 20633695, 28084259, 36681041?\nAnswer: 46424035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*k + 17. Let l(v) = -v**3 - 5*v**2 - 4. Let y be l(-5). Let m = k - y. Which is the nearest to -1? (a) -2 (b) 0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 156026*n**4 - 2578*n**2 + 2 wrt n.\nAnswer: 3744624*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 - 8*a**3 - 21*a**2 - 22*a - 8.\nAnswer: -(a + 1)**2*(a + 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 30 = 8*i. Suppose 6*k = -159 + 171. Put i, k, -4 in descending order.\nAnswer: i, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38158643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - (-21 + 5) - -29?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 5 - 27 = -26*i. Calculate the least common multiple of 59 and i.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*(k*(k**(-5\/6)\/k*k)\/k*k)\/k*k)*k**(4\/3))\/(k**(2\/19)*k\/(k*k*k**(-1))) assuming k is positive.\nAnswer: k**(7\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -1035511.\nAnswer: -13\/1035511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 262, -4, 1\/2, -0.2, 0.\nAnswer: -4, -0.2, 0, 1\/2, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7368 and 44041?\nAnswer: 324494088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n + 2*n**2 - 6*n**2 - 4*n**2 + n**2. Let t(r) = -8*r**2 - 5*r. Give 4*t(g) - 5*w(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 10:19 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyg when three letters picked without replacement from {g: 3, y: 9, h: 7}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30.7090534 - -3940.1574834. Let d = w + -3907.54843061. Let b = d - 1.9. Round b to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**2 - 37*h + 608. Give t(13).\nAnswer: 1141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 26 = 5*p, -p = 8*q - 3*q - 6. Let a = -16 - -47. Is a + 0*q\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 8:24 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 0) + ((3 - 3) + 7 - (-3 - -7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 908743?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 15.2 (c) -0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Suppose -5*g = w*j - 6, -4*g - 8 = -3*j + 1. Which is the nearest to g? (a) -3 (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4634?\nAnswer: 2, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -22695.58, -2\/7, 0.05 in ascending order.\nAnswer: -22695.58, -2\/7, 0.05, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*u - 7357 - 2525. What is the highest common divisor of u and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427 = -b - 324. Let u = -400 - b. Suppose 0 = -4*h - 4*k + 320, 5*h - 43 = -2*k + u. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by -113476\nAnswer: -31\/56738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (-38 - (-28 + -43))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 33*a - 51. Let k be x(18). Find the second derivative of -32*g**5 + 6*g**k - 39*g**5 + 4 + 68*g**5 - 13*g wrt g.\nAnswer: -60*g**3 + 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*r**2 + 150*r**2 + 0*r - 271*r**3 + 126*r**2 + r - 407*r**2 to the form g*r**2 + x*r + f + d*r**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, p: 15}. Give prob of sequence dpdp.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 102 - 43 = -26*s. What is the fourth smallest value in s, 0.6, -0.1, 0.25?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 753, 1508, 2263, 3018, 3773, 4528?\n\"Answer: 755*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 217 and 899.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 3*v**2 + 2*v + 6457. Is q(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (64\/4)\/4. Let b be v\/(-14) - 96\/(-28). Suppose 0 = 2*t - b*l - 38, 2*t - l = -3*l + 62. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40 + 15 + 23)*(4*j + 2*j - 4*j)*(26*j - 26*j - 19*j**3) to the form q*j**4 + t*j**2 + u*j**3 + c + v*j and give q.\nAnswer: -2964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2099 - -2099. Solve 0*v**2 + 0*v - 2\/11*v**5 - 2\/11*v**4 + 0*v**3 + w = 0 for v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 4746933.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -337, -1207, -2907, -5713?\nAnswer: -9901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 27\/21 + 195\/(-70). Let w = -37 - -32. Let o be w\/(-2)*48\/(-30). Which is the nearest to -1\/5? (a) i (b) 2\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.635945s in hours?\nAnswer: 0.0037877625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2 = 2*l, 4*l - 1 = -4*b - 5. Suppose p = -b*p + 4*n - 3, 0 = p - n - 3. Solve -14 = -4*d + p*y - 3*y, 3 = d - y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a - 11. Suppose -20*w + 3*l - 40 = -25*w, 3*l - 8 = -w. Give d(w).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*(sqrt(300)*-2 + 0) + (sqrt(300) - (-1 + sqrt(300))*2 - (-2 + 0 + sqrt(300)))*5)**2.\nAnswer: -3200*sqrt(3) + 19600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 28. Which is the third smallest value? (a) -4 (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 14.959. Let c = h - 1.269. Let q = c - -1.30999756. What is q rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 74475357.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 8:10 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 92*q + 708. Let v be r(0). What is the greatest common factor of v and 144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**7\/945 + u**6\/180 - 7*u**5\/27 + 31*u**2 - 26*u. Find a such that r(a) = 0.\nAnswer: -10, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -98*a - 331 - 137. Let h(z) = 31*z**3 - 4*z**2 - 3*z - 4. Let c(d) = d**2 + d + 1. Determine a*c(x) - h(x).\nAnswer: -31*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from ubuvbbuubbbbbbuuub.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -235164 divided by -117582?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3122 (base 5) to base 8.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -22, -1, 30, 71, 122?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*l + 692 + 6*l**5 - 692 - 9*l**2 wrt l?\nAnswer: 120*l**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-8)*3*1. Suppose 5*u - 5*y + 3 - 43 = 0, 0 = 4*u + l*y - 4. What is the units digit of u\/((-8)\/3)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 26. Suppose -j*n + 3*n - 45 = 0. Let b(w) = -w**2 - 12*w - 8. Is b(n) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 298 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/6 - 5*p**2\/3 - 11*p\/6 + 35\/3 = 0. What is p?\nAnswer: -7, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 2762648.\nAnswer: -29\/2762648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.62732 millennia to centuries.\nAnswer: 586.2732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104324 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*31\/(-186)*(376\/12 + -4).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(693)*1 - sqrt(693)))\/((sqrt(275) + sqrt(11))*1 - sqrt(11)))**2 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306989874 divided by -274.\nAnswer: -1120401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3600 + -2107. What are the prime factors of g?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116.5 + -117. Sort 0.4, k, 0.2, -341 in decreasing order.\nAnswer: 0.4, 0.2, k, -341","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18425004 divided by 26.\nAnswer: -708654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 68111 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1756401, -26, 0.4, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*36\/(-54)*-4*(-6)\/(-328)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 14 = 4*f. Put 3, -5, f in descending order.\nAnswer: 3, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1912562 rounded to 3 dps?\nAnswer: 0.191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**4\/6 - 3*m**2\/2 + 32*m. Let s(v) = -v**2 + 2. Give 3*b(x) + 5*s(x).\nAnswer: x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t + 2*t + 3*t + (-1 + 2*t + 1)*(5 + 1 - 4).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -5\/2, 1\/91?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2388748?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 91 = 3*a, -14 = 4*v - 4*a - 106. Let n = v + -17. Solve n*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s**2 - 1. Let z be v(1). Suppose -n = -0*n - z. Suppose -n = -r - 2*r. Solve -r - 2 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -28*g**2 + 414*g + 16. What is a(15)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -9397.\nAnswer: -563.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -2 (b) -2\/9 (c) -1\/4 (d) -0.069\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -2\/5*d**5 + 0*d - 7\/3*d**3 - d**2 - 13*d**4 - 157. What is the third derivative of z(f) wrt f?\nAnswer: -48*f - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 2*u - d, u + 3*d + 11 = 0. Let a(j) = u - 3 + j - 1. Let w be a(3). Solve w*t - 1 = -i + t, 3*t + 3 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 100*a**5\/3 - 53260*a**4\/3 - 7011972*a**3 + 55112828*a**2\/3 + 24567736*a\/3 + 846944 = 0.\nAnswer: -266, -1\/5, 3, 796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u - 14*u - 3 + 0. What is the units digit of q(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.626593 litres in millilitres?\nAnswer: 4626.593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4 = -3*v - 5, -4*v = 2*o - 14. Suppose 0 = 4*m + m - 5. Let c(y) = 10*y**3 + y**2 - 2 + 4*y**2 + m - o*y**2. Give c(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -328 - -327 - (-4 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 6*c**2 - 11*c + 4. Let r(q) = -3*q**3 + 16*q**2 + 32*q - 12. Let a(x) = -4*r(x) - 11*t(x). Suppose a(h) = 0. What is h?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62526?\nAnswer: 2, 3, 17, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.41 (b) 11\/4 (c) -0.5 (d) 2\/5 (e) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*i - 55, 4*i + 13 - 3 = 3*k. Let s be (-20)\/k + 0 + 4. Suppose -s*n + 24 = -14. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (3\/1 + -10)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 19201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 16 + 46. Suppose -5*v - 2*f + 45 = -116, -v - f = -p. What is the greatest common factor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 23*v - 48 = 0. Suppose 0 = 2*u + u + 27. Let s = 25 + u. Calculate the highest common factor of v and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -61*h**2 + 106*h**2 - 20*h**2. Let c(d) = 2*d. What is c(p(l))?\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 648175613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1415 and 3764 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23\/(-23)*(0 - 0 - 0). Solve r = -183*d + 193*d + 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 6*f + 3. Let u(t) = -t - 6. Let k be u(-11). Let i be w(k). Solve 2*x - i = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 3*p. Let c be x(-4). Let l(t) = -t**3 - 6*t**2 + 6*t - 5. Let u be l(-7). Let y be 188\/(-8) + u\/c. What is y rounded to zero dps?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 8.\nAnswer: -4, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -307 (base 10) in base 6?\nAnswer: -1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - 3*j + j + (2*j - j - 2*j)*(0 + 1 + 1) + 58 - 18*j - 58 - 5*j + 2*j + 2*j as d*j + a and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1038490534?\nAnswer: 2, 519245267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/99 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/14 and 119\/60070.\nAnswer: 420490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/38 and 127\/18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 606549497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2. Let o(b) = -25*b**2. Give o(r(u)).\nAnswer: -25*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 24. Let r = n + -14. What is the remainder when (-9)\/r*16\/(-6) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 27330, -5, -32 in decreasing order.\nAnswer: 27330, 2, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzz when three letters picked without replacement from {m: 5, x: 2, z: 3}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 19\/4 of a microsecond?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 10:13 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229 divided by 5?\nAnswer: 1229\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8297, 8436, 8681, 9050, 9561?\n\"Answer: 3*v**3 + 35*v**2 + 13*v + 8246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 9. Let r be y(11). Let f be 1\/r*29*-2. Solve -4*s + 5*t = -0*s - f, 15 = -3*t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqucucukzpc. Give prob of picking 1 u and 1 k.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u - 2. Let s be 6\/(-18) - (-11)\/(-3). Let z be (-112)\/(-20) + s\/(-10). Suppose -l + z*l = 10. Let x(f) = 3*f - 1. Calculate l*i(r) - 5*x(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00140855958 to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 130\/4 + 27\/(-18)*-1. Solve u*z = 42*z + 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)\/(h\/(h*h**(4\/3))*h))\/((h\/(h*h*h**(-6)))\/h**(-2\/13)) assuming h is positive.\nAnswer: h**(-500\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76446.\nAnswer: 2, 3, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.4 + 0.6. Let m = 0.06 + 2.19. Let v = m - j. Round v to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*n - 2*n + 9 = 0, -4*g = 2*n + 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -30, -33, -36?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-2*1) + 20. Suppose -4*z + j = 0, -2*w + 8*z - 3*z = 17. Is 74\/w - (-2)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 5*f - 2*f)*(2*f - 3*f + 2*f) + 3939*f**2 - 2093*f**2 - 2090*f**2 + (f + 0*f + f)*(-4*f - 2*f + 4*f).\nAnswer: -247*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 3888*w**2 + 7754*w + 52. Determine x(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 96 = 2*t. Let s be 8\/t - (-42)\/8. Suppose 0*v - 4*i + 353 = 5*v, -10 = -s*i. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465469 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(2\/9))\/b)**12*(((b\/(b*b**(3\/8)\/b))\/b*b*b)\/b)\/b*b*(b*b**(-5\/7)*b)\/b assuming b is positive.\nAnswer: b**(2617\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o**3 - 1406*o**2 + 296*o - 4204. Give h(281).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 134 + -1207\/9. Which is the second biggest value? (a) 2 (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1079 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-44)*(-280)\/21?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-2944)*-644*52\/(-8)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7308 + 7330. What is the second biggest value in -1, s, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15954 and 162199.\nAnswer: 973194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2681 <= -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 bigger than -296029\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/14)\/(913\/77 + -12). Solve 2*u + 0 = g + 9, 0 = 3*g + d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -52*w**3 - 3*w**2 - 6*w - 4. Calculate the remainder when j(-1) is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -6 (b) 2\/61 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 489828 divided by -5.\nAnswer: -489828\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 31 - 14 = z, 47 = 4*t - 3*z. Suppose t*d + 48 = 15*d. Suppose -16*q + 20 = -d*q. What is the smallest common multiple of 8 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4247*u**3 + 11*u**2 + 3*u - 6. Let k be b(-1). Round k to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 5*y**2 - 4*y - 21*y**3 + 55*y**3 - 34*y**3 + 2*y**4 - 4*y**2 in the form q*y**3 + z + m*y**2 + u*y + c*y**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 x when three letters picked without replacement from ddxvcddvd?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a factor of 56214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2125 and 8230175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.579177 rounded to 2 decimal places?\nAnswer: -1.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 7:42 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*q + q + 4*q)*(-21 + 83 + 53) - 1 + q + 1)*(q**3 + 0*q**3 + 0*q**3).\nAnswer: -114*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -819\nAnswer: -1\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c + 553 - 798 - 628.\nAnswer: 3*c - 873","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-459)\/17 - (-28 - -36).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 438 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5949 = -t + 14569, 0 = -x - 4*t + 4096. Suppose -18*l + x = -6*l. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2546*d - 279. Is b(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 15 = 4*w + 3, -4*j - 8 = 2*w. Suppose 2*b = 14 + 4. Suppose -b*y - 5 = w. Is -2\/29 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118a999 (base 13) to base 3.\nAnswer: 101020220021112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30894572 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*y + 27 + 5*y + 30 - 34*y.\nAnswer: -2*y + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v = 20. Suppose -7 - 13 = v*x. Let j = -0.3 - 0.7. Which is the biggest value? (a) j (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 18\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 9*n**2 - 8*n + 2. Let d be x(-6). Let a be 2*d\/(-64) + -2. Are -1 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 - (1 + -51) - (-69980 + 69969).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.8, -5, 4, 1\/6, 4\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5 - 160180*j**4 - 4483524*j**3 - 4163168*j**2 + 4483526*j + 4323348 = 0.\nAnswer: -80062, -27, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*((0 - 2*h**2 + 0)*(-5*h + 5*h + 2*h) - 24*h + 6*h**3 + 24*h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -197 - -344. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27091 + -1842151\/68. Let l = 3\/736 + -5431\/736. Calculate the common denominator of l and r.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6577981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -155e (base 15) to base 14\nAnswer: -195b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + -2)*-5*1\/2. Let s = -20 - -43. Let z = v + s. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -0.3, -5, -93, -0.2 in descending order.\nAnswer: 1, -0.2, -0.3, -2, -5, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -102120301 (base 4) in base 12?\nAnswer: -37701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2356, -2351, -2344, -2335, -2324?\nAnswer: -2311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54647.68l in millilitres?\nAnswer: 54647680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5)\/o)**(-8\/11)*(o*o*o\/o**(-2)*o*o)**40)\/((o\/(o**(1\/6)*o)*o*o)\/o**2*o**(-1\/3)\/(o**7\/o)) assuming o is positive.\nAnswer: o**(31627\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 2 - 1 - (-1)\/(-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 + 20*f + 27. Let j be k(11). Suppose -532 = -j*a + 3*a. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 349577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3) - (-2 + 0 - -3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 24*x - 340. Let g be v(53). Suppose -g = -3*q + 5*j, j + 1 = -0. What is the remainder when q is divided by 79?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 3:03 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {r: 1, f: 1, q: 1, j: 2, y: 2, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 6*j**2 + 3*j + 4. Let z be h(6). Suppose -2*t + y = 3, 2*t + 7*y = 3*y + z. Is 1\/8 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1, 160, 2\/17, 0, 19.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/25 + (-13)\/(-5). Suppose -2*q = r - 1, -q + 23 = y. Suppose 4*j - 16 = -4*k + y, 0 = 3*k - j - 18. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - 4*p + 5*p + 3*p - 3*p + 23*p**2 as b*p + r*p**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24302 (base 6) in base 11?\nAnswer: 2752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**2)**(-21)\/(x**(-5)\/(x*x\/(x\/x**(-1\/10))*x*x)) assuming x is positive.\nAnswer: x**(-551\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5842, 5680, 5512, 5338, 5158, 4972, 4780?\n\"Answer: -3*x**2 - 153*x + 5998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19769*f**2 - 23 + 20 + 3.\nAnswer: 19769*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 + 86*w + 138. Let o(h) = 38*h**2 - 4*h + 3. Calculate the remainder when y(-42) is divided by o(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/1380 or -1?\nAnswer: -1\/1380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -433*k**5 + 2*k**4*o**2 + 5*k*o**2 - 17*o**2 wrt k?\nAnswer: -8660*k**3 + 24*k**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53374 is divided by 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 g, and 2 w when four letters picked without replacement from {g: 3, w: 2, i: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 39 = -w, -2*w - 8*g = -9*g - 69. Let z(v) = 6*v + 3. Let l be z(-11). Let k = w + l. What is the common denominator of k and 23\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3)*6\/(-2). Let b(g) = 2*g**3 + 7*g**2 + 3*g + 5. Let i be b(-3). Suppose -i*j = -3*j - 6. Sort l, -5, j in increasing order.\nAnswer: -5, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**2 - 3*j**2 - 2*j**2 + (-523*j - 474*j + 888*j)*(6 + 6*j - 6).\nAnswer: -655*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.41 - 17.41. Let a = 47.3 - k. What is a rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**(7\/4)\/(r**(-4\/3)*r*r**4\/r))**(-50) assuming r is positive.\nAnswer: r**(400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-12)*c)\/c**(-3) assuming c is positive.\nAnswer: c**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*41.\nAnswer: -8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1080 or -6485\/6?\nAnswer: -1080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*x = -9, 4*u + 0*u = 4*x - 32. What is the units digit of 92\/u*1*90\/(-60)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 10 + 15 - x)*((1 - 1 - 3*x)*(-3 + 0 + 2) - 17*x + 6*x - 21*x + 2*x + x - x).\nAnswer: 27*x**2 + 216*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*f, 2*f + 4*j - 21 = -f. Suppose u + 467 = f*a, -2*u - 781 = -5*a + u. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**2 - 4*q + 1. Let f be x(-3). What is the third derivative of 5*k**f + 2*k**2 - 5*k**2 - 2*k**5 wrt k?\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.4. Let k = -0.35 + r. Let m = k - -1.05. Which is smaller: m or 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 3*l + 593. Let v be w(26). Let h be (-2)\/(-6) + (-10)\/18. Let j = -32 - -221\/7. What is the fourth smallest value in j, v, h, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 14, -43?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1448*u - 7464 + 7464)*(-3*u + 2 - 2).\nAnswer: -4344*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24100929.\nAnswer: 3, 892627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(1088) + (sqrt(1088) - (4 + sqrt(1088) + 0)) + sqrt(1088))*-5*1)*-2)**2.\nAnswer: -11520*sqrt(17) + 436496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 19 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -432*b**2 - 314*b + 1. Let i(c) = 3*c**2. Determine a(i(z)).\nAnswer: -3888*z**4 - 942*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3634245*u**4 + 3634263*u**4 + 45*u**3 - 1 + 49*u**3 + (-2*u**3 + 0*u**2 + 0*u**2)*(3*u + 4*u - 5*u) to f*u**4 + j + s*u**2 + n*u**3 + i*u and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 2*q**2 + 7*q + 4. Give m(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + (-3 - (-1 + 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013774704 rounded to five decimal places?\nAnswer: 0.01377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451855 a multiple of 739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 82 - 22. Let l = 8508 + -8498. Solve -m + q = l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 45. Let l(c) = c - h*c - 2 + 5 + 4*c. Let u be l(-3). What is the highest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 23*-2 + (-11 - -7). Let g be 4\/(-10)*5\/b. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -321461090*l*o**3 - 542*l + 245099 wrt o.\nAnswer: -964383270*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-7)\/2)*2. Suppose 56 = -q + 8*q. Let c be 7\/q + (-6)\/12. Put -0.6, c, g in increasing order.\nAnswer: g, -0.6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**2\/3 - 752*k\/3 + 7120\/3 = 0. Calculate k.\nAnswer: 10, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.38 and 55181.\nAnswer: -131330.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43066 - 25796. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**4\/12 + w. Let k(l) = 21*l - 11. Let x(o) = 11*o - 6. Let a(d) = 6*k(d) - 11*x(d). What is a(j(u))?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 297333406 a multiple of 743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 237303 and 138006?\nAnswer: 19458846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1775 - 974. Let i be -3 + 4 + -2 + z. Let q be i\/((-3)\/(1 - 3526)). What is q rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 252 + 27*h - 252 - 3*h**2 - 5*h. Let l(t) = 4*t. Give l(s(c)).\nAnswer: -12*c**2 + 88*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, -609, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 4060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55902 = 2019*a + 30915 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 842 + -26100\/31. Let a = -8 - -13. Suppose -a*h - h = 6. Which is smaller: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 58*f**2 - 3*f + 3. Let b be l(-2). What is b rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 7*j**3 - 25*j**4 + j**4 - 16*j**5 - 2*j**3.\nAnswer: -j**2*(j + 1)*(4*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -105*j + 36. Let d(h) = -21*h + 7. Calculate -21*d(v) + 4*q(v).\nAnswer: 21*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**23\/(v*v*v*v\/v**8*v)*(v*v*v*v\/(v**(-26)\/v*v*v)*v*v)\/(v**(-6)\/v) assuming v is positive.\nAnswer: v**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by (-4)\/10*(-1325)\/106 + 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1145 and 156565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -1\/3, 4, -0.2, 20, -1\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) -3 (c) -11 (d) 2\/993\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-1) + -2 - -17. Let q = -9 + v. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 14139*h**5\/20 + 25*h**4\/3 + 4*h**2 - 1425*h + 1. What is the third derivative of j(f) wrt f?\nAnswer: 84834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -357.9956 plus 19610158?\nAnswer: 19609800.0044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-50))\/((-22)\/(-110)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*l - 994394 - 932192. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 165ba54 - -13?\nAnswer: 165ba67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3583 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = t - 5*b, t + 4*b - b = 6. Let s be 8\/(((-10)\/3)\/5). Let p be t\/18 - (-2)\/s. Put p, -5, 1 in descending order.\nAnswer: 1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*6\/4*(-11594)\/(-2108)?\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 5*c + w - 39, 0 = -4*c - 3*w + 29. Suppose -3*j - 2*q = -q, -j - c = 3*q. Suppose 0 = -z + 6 - j. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 156.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*w + 47*w = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16584725 + 16584725 - 7*l**2.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 21435235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 12*f**2 + 14*f - 10. Give q(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h - 5. Let m(c) = c. Calculate -2*m(w) - x(w).\nAnswer: w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(153)*-1 - sqrt(153) - sqrt(153)) + -1 + (0 + (sqrt(153) - (-1 + sqrt(153))))*2)*-2)**2 + 4.\nAnswer: -72*sqrt(17) + 5516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1818, 5, -80, 1, -4, -46 in descending order.\nAnswer: 5, 1, -4, -46, -80, -1818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a - 15*a - 5*r + 20 = 14*a - 5, 0 = 3*a + 20*r - 45 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 - 16*d**2 + 25*d + 11. Let u(j) = j**3 - 5*j**2 + 4 - j**3 + 8*j - j**3. Suppose -3*h + 1 = -5. Let n(s) = h*a(s) - 7*u(s). Determine n(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42 + 11 - -17) + 14. Let l be (-4)\/(-6) - 373\/555. Which is greater: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s = 74*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -32.250614713077.\nAnswer: 31.950614713077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 223 + -1140. Do z and -1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4949 and -7.6?\nAnswer: 3.76124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -c + 3, -7*f - 5 = -8*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 2*k - 1. Let f(a) = -a**2 + a - 1. Let l be f(-6). Let o = -29 - l. Suppose -5*d = -o - 1. Calculate h(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10564505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 13474523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + s = h - 71, 2*s = -h - 23. Which is bigger: h or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64658?\nAnswer: 2, 11, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u. Let x(b) = -43*b**2 - 4. Give z(x(r)).\nAnswer: 43*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -102817680 divided by -5?\nAnswer: 20563536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.022*-3.\nAnswer: -48.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/(-5))\/(-4) - ((7 - 4) + 3)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 415 + -207. Suppose -3*s + s = -d. What is the highest common factor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6 = 3*q, -4*r - 2*q + 4 = r. Let z be 0 - 1\/(1\/(-5)). Suppose -33 - 27 = -z*i. Solve r*j = -3*j - i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*w + 4 = 0. Solve -w*q - 2 = 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63399600?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o = -4*o - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15665047 times -2\nAnswer: -31330094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*i + 13 + 3 = 0, 2*g - 2*i = -4. Let r = 5 - g. Suppose r*f + 2*f = -412. What is f rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 54, 114, 198, 306?\n\"Answer: 12*c**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -422312 - 24?\nAnswer: -422341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 - 7*a**2 + 10*a**2 + 2 - 2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6155*1848.\nAnswer: 11374440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41461 is divided by 703?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 + 46*v - 33. Let d be b(-25). Suppose 120 = -4*l - 4*a - 0*a, 0 = -2*l + 5*a - d. Let s = -16 - l. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.145389914 rounded to five dps?\nAnswer: -0.14539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, -4, -2, 302 in descending order.\nAnswer: 302, 5, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -3)*(-2 - -3). Suppose -26 = -c*g + 14. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45646?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 19 = -4*h + 25, -21 = -7*r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccmdttmu. Give prob of sequence du.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/18 and -143\/359248194.\nAnswer: 359248194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2 + 6*k + 94. Let i(t) = -5*t**2 - 11*t - 186. What is 6*i(l) + 11*w(l)?\nAnswer: 3*l**2 - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -238*m**5 + 43*m**2 wrt m.\nAnswer: -14280*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.683187m?\nAnswer: 0.000683187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*r + r**3 + 0*r**3 + 2*r**2 - 4*r - r**2 in the form l*r**3 + h*r**2 + o + b*r and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/325 (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m + 2. Let p(v) = 4 + 2*v**2 - 3*v**m - 4. Let f(w) = 1 + 3*w - 1 + 0*w. Calculate p(f(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1986?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 14. Let z be (-6 + (-50)\/(-8))\/((-2)\/(-1168)). Let y = z - 149. Is w < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-75))\/(((-36)\/(-40))\/(-3)). What is the biggest value in 2, 2\/11, -2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39892 - 2890\nAnswer: -42782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 495 and 78?\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.107098 rounded to 3 dps?\nAnswer: 0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**6\/120 - 13*b**5\/60 + 11*b**4\/24 + 5*b**3\/2 + 2*b**2. Let m be x(12). Suppose -287 + 20 = -m*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4431186 and 4431184 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(50) - (sqrt(4) - (sqrt(32)\/sqrt(8) + sqrt(4)))\/sqrt(2)) + ((2*sqrt(120))\/sqrt(10))\/((sqrt(36) - 2*sqrt(36))\/sqrt(6)).\nAnswer: 29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87029359 to the nearest integer?\nAnswer: 9329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116797234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, b: 3, x: 2, k: 1, s: 4, r: 2}. What is prob of picking 1 x and 1 k?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/sqrt(45))\/(-3*sqrt(18)).\nAnswer: -sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2913.331 to the nearest ten.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 5*y**3\/6 - y**2 + 10*y - 6. What is h(8)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.421 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvvxivivvviv. Give prob of picking 1 x and 1 y.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263798728?\nAnswer: 2, 151, 1046191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqmdqqmctdd. Give prob of picking 1 m and 1 q.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*z + 24, 42*z = 44*z + 4*v - 14. What is the third biggest value in -3\/2, z, -4.2?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9048880043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3827932.\nAnswer: 2, 353, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 4. Suppose -183 = -3*c - 9. Let w = 54 - c. Give p(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 28.5. Let s = d + -6.5. Let t = s + -18. Is t equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -1 + 1)*8. Suppose -4*b - 21 = -3*b + 5*n, 3*n + 27 = -3*b. Let l = o + b. What is the highest common factor of 8 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19, -26, -33, -40, -47, -54?\n\"Answer: -7*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -31.65. Let u = 1.501 + w. Let m = 0.111 - u. What is the second smallest value in m, 0.1, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1313.9, 2\/13, -0.54 in decreasing order.\nAnswer: 2\/13, -0.54, -1313.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3009*p - 15960. What is n(-5)?\nAnswer: -915","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(133) - 1*sqrt(133)*4) + 5*sqrt(133)*1*-1)\/((2*sqrt(252)*-2)\/(-1*sqrt(576) - sqrt(4))).\nAnswer: -26*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.7 (b) -3\/7 (c) 445\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w + 7*w = 55 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*x + 4*x - 12 = 0, 5*x + 15 = 0. Let q = t + 30. Let a be (6 - 7)\/(650\/(-216) - -3). Calculate the greatest common factor of a and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -53. Suppose -3*p + 250 = 4*a, 3*a + a + j = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 + 84. Suppose 3*w - 30 = -2*w. Suppose -5*r**3 + r**2 + 5*r**3 + 2*r**2 - t*r**4 + 6*r**5 - w*r**3 = 0. What is r?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 60 = x. Let u = -252 - -256. Suppose 5*l + 10 = 0, -2*y + u*l = -5*y + 133. Calculate the remainder when y is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342036 is divided by 610?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60600642379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 2. Let m be f(6). Let j = m + -1. Suppose 0*p - j*d = 3*p - 3, -3*p + 2*d = -13. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, q: 7}. Give prob of sequence bqb.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 12:43 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*2598.8.\nAnswer: -1039.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 990956 - 1834256. Round p to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -14. Sort -9, x, 3 in decreasing order.\nAnswer: 3, x, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -27. Suppose 213 = 5*t + 238, 2*v + 12 = -2*t. Sort v, -3, k, -5 in ascending order.\nAnswer: -5, k, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19912289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 70977 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 669 by 667.\nAnswer: 669\/667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8488, 8992, 9846, 11062, 12652, 14628, 17002, 19786?\nAnswer: 22992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7))**(-2\/21)\/(i\/i**(2\/7))**23*(((i\/i**(-3))\/i)\/i**(-4))**(-19\/5) assuming i is positive.\nAnswer: i**(-31646\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 16 = j + 6, 4*d - 20 = 2*j. Let c = 35 + -16. Suppose 4*a = c - 7. Solve -a = o - l, d*l = -3*o - 0*l + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i - 5. Suppose 8 = -4*h - 0*h. Let s be f(h). Let u = s + 19. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 1803648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j = -52. Let g(p) = p - 1. Let m(y) = -4*y + 12. Let k(l) = 5*g(l) + m(l). Calculate the remainder when j is divided by k(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 - 214173 + 8*a**3 + 214173 - 2*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1869748 + -0.187. Round h to 6 dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178329316*h**2 - 106832*h - 16 = 0 for h.\nAnswer: -2\/6677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 1, -1, -4 in decreasing order.\nAnswer: 1, -1, -4, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 4*p + 0*p**4 + 2*p**2 + 0*p**5 - 39 - 35\/3*p**6 + 0*p**3. What is the second derivative of f(w) wrt w?\nAnswer: -1400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.33, 0.3, -5, -4, 65\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(2\/7))**(20\/7))**(1\/20))**15 assuming c is positive.\nAnswer: c**(75\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 2\/15 (b) 93 (c) 73 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 664 + -659. Let c = 1 - -2. Are s and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30786396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 70*a - 29. Is y(27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6182, 6190, 6212, 6254, 6322, 6422, 6560?\nAnswer: 6742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*b + 70*b + 8 = 0. What is the closest to b in -4, -2\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 - 3 = 5*z. Calculate the remainder when 42 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 1.051\nAnswer: 0.4204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/19 + 194\/19*n**2 + 72\/19*n + 32\/19*n**4 + 144\/19*n**3.\nAnswer: 2*(n + 2)**2*(4*n + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139937323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u + 9. Let n(j) = -2*j + 10. Let p(o) = 6*n(o) - 7*v(o). Let d(f) = -3*f + 4. Let t(m) = -5*d(m) - 8*p(m). Calculate t(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3393809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -8\/19 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**3 + 18*u**4 - 3 + 14*u**2 - 15*u**2 - 19*u**4 - 56*u**2 - 7*u**3 as x*u**4 + d + a*u**2 + b*u**3 + w*u and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m - 2. Let o(b) = -5*b + 4. Let s(g) = g - 1. Let d = -1 - -2. Let p(q) = d*o(q) + 3*s(q). Calculate 4*k(i) + 9*p(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 1:08 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*i - 26*i**2 - 18*i + 39*i + 6*i + 45*i.\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four fifteenths of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*a - 3*a + 2*u, -3*a + 5*u - 1 = 0. Solve 16 = -4*o - 2*g - 4, 0 = -4*o + a*g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 9*h**2 - h + 8. Let k be c(7). Let r = 330 + k. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m - 5 = 0. Let h(j) = -6*j**3 + j. Let q be h(m). Let w = q - 1. Solve -w*x + i + 3 = 0, -2*x = 2*i + i - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3076*m - 18470. Determine d(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18546 and 144.\nAnswer: 445104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m = 3*v - 29*m - 10, -3*v + 3*m = -42. Let p be (-124)\/(-8) - 2\/4. Solve -n = p - v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6650932?\nAnswer: 2, 1662733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fibbbzibbbbz. Give prob of sequence zbf.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 2*s + 6*i, 227 = -4*s - 5*i + 261 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 717078.3 micrometers to kilometers.\nAnswer: 0.0007170783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -4. Suppose 0*c - 12 = f*c. Let g(a) = a + 6. What is the units digit of g(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + ((-1)\/(-1) - -4). What is the third derivative of 19*z**6 + 10*z**2 + 13*z**2 - 8*z**t wrt z?\nAnswer: 1320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from plhhq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 2, a: 2, j: 1}. Give prob of sequence gag.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - q - 6*q = -110 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 595788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 - 2 - (8 - 27) - 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/q**(-1\/6))**3)**(-15) assuming q is positive.\nAnswer: q**(-285\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27896 by 11.\nAnswer: 2536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbqmybybb. Give prob of sequence ym.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37662.3 - 37662. Which is the nearest to t? (a) 2 (b) 0.01 (c) 71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49946787*o - 54737262 wrt o?\nAnswer: 49946787","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x**2 + 1. Let f = -3 + 4. Let v(t) = t**3 + t**2 - 1. Let z be v(f). What is u(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaaaaeaeaeaae. What is prob of picking 3 a and 1 e?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1345?\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 304631 + 2\nAnswer: 304633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g - 12 - 2*g - 6*g + 0*g. Let j be d(-6). Solve 3*b + 5*m = -j, 3*m + 4 = 5*b - 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l - 6. Let j(i) = -18*i + 82. What is the least common multiple of j(4) and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 544143651 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -3*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from {w: 2, n: 1, b: 1, l: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*q - 44, -96 = -4*x - x + 4*q. Calculate the remainder when x is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 36 = -21. Suppose 31*t - 29*t + 5*x - 17 = 0, 5 = v*x. Calculate the remainder when 28 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1004 + -29118\/29. Sort 2, 1, 0.1, d.\nAnswer: d, 0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 - 2*y**2 - 8*y**2 - 7*y**2.\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13872690 a multiple of 1503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.33734 times -0.3?\nAnswer: -24.701202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 - 4*q - 4. Let n = 5 - 8. Is c(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001101010 (base 2) in base 9?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9420, 14472, 19522, 24570?\nAnswer: 29616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5097925?\nAnswer: 5, 7, 29131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 74821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.45, -1.3, 2.\nAnswer: -1.3, 0.45, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*z - 3*o, -4*z = 2*z + 3*o + 15. Let t(g) = -43*g**2 - 2*g - 1. Calculate t(z).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 20 + 1. Suppose 20 = r*x - 15. Sort 14, x, -5, 3 in increasing order.\nAnswer: -5, 3, x, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h - 3. Suppose -100 = -f - 4*l, 5*f - 4*l = -234 + 806. Let x = f + -110. Determine y(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -1579, 30 in increasing order.\nAnswer: -1579, -2, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(242) - -2*sqrt(242))*1 + (sqrt(242) + -1)*2 + (sqrt(242) - -2*sqrt(242))*-3 + 5*2*sqrt(242) + sqrt(242))**2.\nAnswer: -308*sqrt(2) + 11860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1666*d**2 + 3567*d**2 - 3*d**3 + 509*d**2 + 2237*d**2 - 16*d.\nAnswer: -3*d**3 + 4647*d**2 - 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/(-392)*(-7)\/3*37.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(-3 + (sqrt(153)*-1 + sqrt(17))**2).\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 305341 (base 7) to base 5.\nAnswer: 3133222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -e3d13 (base 16) in base 5?\nAnswer: -214330024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/868 and 101\/8608.\nAnswer: 1867936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.159539579676 + -1342.\nAnswer: -1341.840460420324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7 = -o, 0*w - 4*o = 2*w. Suppose -11 = w*n + 13. Calculate the remainder when n\/(-14)*(-42)\/(-2) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 111?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/4620 and -149\/120?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 534 + 3.5867\nAnswer: 537.5867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.68816 micrometers to millimeters.\nAnswer: 0.01968816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d2 - 22?\nAnswer: 4b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**1)**11*(k**(-1))**(-45))**28)**1 assuming k is positive.\nAnswer: k**1568","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - y + 2)*(6900 + 7788 + 3542 + 10514 + 3019).\nAnswer: -31763*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.08 * 13.\nAnswer: 27.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (-2 + 78))*-1. Suppose -2*v = -p + j, -2*p + 2*v = 3*v - 146. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 114 - 101. What is the greatest common factor of f and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 16*a + 23. Give g(-18).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 39, 66, 101?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 5:33 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/6 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 48*d**2 - 122*d + 68. Is s(51) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (13 + 3 + -2)\/(-5*3\/(-30)) and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4947629727 a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 80 = 22*l. Let p(t) = t**3 + 9*t**2 + 8*t + 3. Let h be p(-8). Let v(n) = 6*n - n**2 + 3 + h - n - 1. Let w(k) = k + 1. What is l*v(o) + 5*w(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + q - 3*q)*(q**4 + 54700*q**3 - 54700*q**3 - 25*q**2).\nAnswer: q**5 - 25*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -1\/2*n**4 + 0*n**3 + 0*n**2 + 2*n**5 - 21 - 35*n. Differentiate z(g) with respect to g.\nAnswer: 40*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-390)\/(-546)*2\/10\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*g + 4*x + 4, -2*g + x = -13. Solve 3*a = -5*i + 4, -2 = g*a + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2)\/(h*h\/(h**(-3\/32)\/h)*h)*(h**19*h)**(-6\/7) assuming h is positive.\nAnswer: h**(-5205\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - 7. Let o = -19 - p. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16469087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142102?\nAnswer: 2, 13, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155571 divided by -3.\nAnswer: 51857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbbvj. Give prob of sequence vj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-27 + 13 + 2 + 3)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1708229412 and -0.041?\nAnswer: 1708229412.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91.8 - -17.8. Let d = 15.2 + 56.8. Let g = z + d. What is the third biggest value in 0.5, g, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 less than or equal to -119522\/1195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 30581.\nAnswer: 30580.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -3, -0.5, 10\/61?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4353863365?\nAnswer: 5, 601, 1448873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15134 (base 7) in base 3?\nAnswer: -12202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 511186057 or 511186060?\nAnswer: 511186057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-580)\/2400 + (559\/195 - 3*1).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 340 + 58. Suppose -210*s + 53998 = 470*s - 129*s. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -165\/4 + 41. Which is the smallest value? (a) 3 (b) 2\/3 (c) 0.4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6)*47\/(-376)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**6\/240 + q**5\/60 + q**4\/48 - q**3\/6 + q**2 + 8. Let d(o) be the second derivative of h(o). Factor d(l).\nAnswer: -(l - 2)*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 11588.\nAnswer: 11588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -p - 2*f, -4*p + 7*f = 4*f + 1. Let a be 0 + (-6)\/2 - 1. Sort p, a, 5 in descending order.\nAnswer: 5, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 4*x + 0*x. Let t(a) = 13*a - 7. Let g(u) = 7*u - 4. Let h(k) = 7*g(k) - 4*t(k). Let j(b) = -b. Let r(n) = 3*h(n) - 12*j(n). Determine r(z(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}